{"text":"Question: What is 1510698997 to the power of 1\/4, to the nearest integer?\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*r + 3*r - h = 5, -r - 10 = 2*h for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 342 and 666?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2527?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -2 - -2. Suppose m - 1 = -m - q, t = -3*m - 3*q + 3. Let y = 3 + m. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x = -x - 164. Calculate the common denominator of 46\/(x\/(-10) + -1) and 39\/14.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = -17*r + 6. Let p = -154 + 148. Does 6 divide y(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2\/1*(-3)\/3*3375\/150?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -2547253 divided by -9\nAnswer: 2547253\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*z - 2*z**2 - 5 + 5 + 2)*(2 - 33*z - 2).\nAnswer: 66*z**3 + 66*z**2 - 66*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-6*-2*sqrt(114)*5)\/((sqrt(588) + sqrt(588)*2 + sqrt(588))\/sqrt(2)))**2.\nAnswer: 4275\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 3  (b) -0.02  (c) -1  (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (7\/(-21))\/((-2)\/(-186)) + -2. Let i = x + 11. Let y = 17 - i. What is the remainder when y is divided by 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 4968779592 to the nearest integer?\nAnswer: 1706","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 - ((-1 - 1) + 62 + -56) - 18.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 6931528 to the power of 1\/2, to the nearest integer?\nAnswer: 2633","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.2 + 5.85.\nAnswer: 6.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ioowwiiiwiiiwowiiwe. Give prob of sequence wwei.\nAnswer: 15\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 5285?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d*d**1*d*d**(7\/5))**(4\/9) assuming d is positive.\nAnswer: d**(88\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -143224 - 10021324?\nAnswer: -10220103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r = 2*c + 8, 2*r + 2*c - 12 = -r. Is (219 - r) + (-10)\/2 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*l = 24*l - 105. Let h(w) be the second derivative of 1\/12*w**4 + 1\/12*w**l - 9*w + 0 + 1\/40*w**5 + 0*w**2. Find x, given that h(x) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 95 + -51. What are the prime factors of h?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 53 is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -535 in -1\/3, -2, -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -34.31 - -0.31. Let b = -37.4 - a. Which is smaller: -1\/2 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = 23*c**2 - 4*c + 3. Let j(o) = 47*o**2 - 9*o + 7. Calculate 9*g(m) - 4*j(m).\nAnswer: 19*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 204052?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) be the third derivative of -1\/24*b**6 - 105\/2*b**4 - 176*b**2 + 0*b - 17\/6*b**5 + 0 + 540*b**3. Suppose f(g) = 0. What is g?\nAnswer: -18, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:36 PM and 7:13 PM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -0.7 from -6652425374.\nAnswer: -6652425373.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = m**3 + m**2 - m + 4. Let g be s(0). Let q(u) = -2*u**2 + 2*u + 3. Let p be q(g). Let w = p - -31. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -10 divided by 15523\nAnswer: -10\/15523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 28*c + 69*c - 2*c**3 + 6*c**2 - 3*c + c**3 wrt c?\nAnswer: -6*c + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (2*15\/(-6))\/((-12)\/62*(-5985)\/(-7182))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p and 1 k when two letters picked without replacement from zpkwwpkz.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -2\/7  (b) -0.083  (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-42)\/(-8) + 115\/(-92). Suppose 3*a = -2*n + 55, w*n = -4*a - 0*n + 80. What is the least common multiple of a and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 37\/2 of a kilogram in grams?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -179 - -177.09. Let v = g + -112.69. Round v to the nearest integer.\nAnswer: -115","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9071*x + 9094*x + 782 = 0 for x.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 102221222220 (base 3) to base 11.\nAnswer: 1509a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 362 a factor of 376896662?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = -t. Let m be p(-1). Suppose m - 13 = -3*v. Suppose 30 = v*c + 2*b, 0 = 3*c - 0*b + 4*b - 35. Calculate the remainder when 18 is divided by c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) be the first derivative of v**6\/6 + 19*v**5 + 1625*v**4\/2 + 43750*v**3\/3 + 78125*v**2\/2 - 1953125*v - 769. Factor d(o).\nAnswer: (o - 5)*(o + 25)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) be the third derivative of 0*p**3 + p + 27*p**2 + 0 - 22\/3*p**4 + 1\/2*p**5. Find the second derivative of f(h) wrt h.\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = 5*j - 18. Let n be g(5). Let b = 15 + -14. What is the highest common factor of b and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 46, -1\/7, 0.5, 3, -0.0057 in ascending order.\nAnswer: -1\/7, -0.0057, 0.5, 3, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -265.4 + -85.6. Let j = w - -350.348. What is j rounded to 1 dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 121104\/13 + 28*u**2 + 17922\/13*u + 2\/13*u**3.\nAnswer: 2*(u + 8)*(u + 87)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -91 - -94. Which is the nearest to -2\/5?  (a) p  (b) 0.18  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -24 + (51 - ((-18 - -15) + -13)).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + -2*(-2*sqrt(1539) + -1 - sqrt(1539))**2 - (1 + sqrt(1539)*2*-1*2).\nAnswer: -27707 - 72*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find g such that 25*g**4 + 1615*g**3 + 30150*g**2 + 168980*g - 72520 = 0.\nAnswer: -37, -14, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 17\/2 of a millisecond?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m - 5*q = 6, -4*q - 9 = -3*m + q. Which is the third biggest value?  (a) -9  (b) m  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 83 - 91. Let v be (-1 - 3) + (-72)\/j. Solve 3*o = -3*f + 3, -5*f = 4*o - 2 - v for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 86 divide 83641959?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-6)\/(-4)*(-16)\/(-6). Let w = 2030.93 - 4.93. Let j = w - 2049. Which is the biggest value?  (a) j  (b) 0  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = -w**2 + 8*w + 1. Let t be a(7). Let p = 7318 + -117129\/16. Find the common denominator of (10\/12)\/(t\/3) and p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = -12*n + 3*n**2 + 1 + 9 + n**3 - 14*n**2. What is the units digit of v(12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 7160 + -6007. Does 13 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (16\/20)\/((-4)\/(-30)). Let t be 1\/(2\/b*1). Let p(w) = w**2 - 2*w + 1. What is the units digit of p(t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3*(((-16)\/(-12))\/(28\/6))\/(11979\/10164)\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -115 = -2745*s + 2713*s + 77 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*u - 3*y - 27, 3*u + 5*y - 45 = -u. Suppose -47*r + 50*r = 18. What is the least common multiple of r and u?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4344?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 39677 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 40 less than 136719764?\nAnswer: 136719724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 24 + 3?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3665*i**2 + 337406 + 165456*i + 332374 - 5*i**3 - 838896*i.\nAnswer: -5*(i - 366)**2*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 4908 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1209286?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert 32130 (base 4) to base 16.\nAnswer: 39c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:58 PM and 4:07 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a + 9 = -3*g + 3, 0 = -2*g - 5*a - 9. Suppose -95 = -g*h + 4*r, -4*h + r - 33 + 164 = 0. What is the remainder when 163 is divided by h?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 885\/(-531) - (-118)\/78?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 + 203*r**3 - 4 + 6.\nAnswer: 203*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f + 32 = 19*f. Solve 2*p + 0 + 19 = -3*i, -12 = p + f*i for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 795067.\nAnswer: 7, 13, 8737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = 17687*d**2. Let v(n) = -2*n. Calculate v(p(o)).\nAnswer: -35374*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z - 2*s - 84 = 26, 325 = 6*z - 5*s. Let x(t) = 9*t**2 - 5*t - 6. Calculate the remainder when x(-6) is divided by z.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 2 - 1. Let j be (4\/(-12))\/(2\/10). Let s = 0 - -1. What is the nearest to s in m, -3, j?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 172588 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = 2*c**2. Let j(v) = -31 + 6*v**2 + 31. Give m(j(o)).\nAnswer: 72*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.4*0.32.\nAnswer: -0.128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -33*o - 42*o - 5*o - 1200 = 0 for o.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = -8*s + 25. Suppose 138*j - 543 - 332 + 47 = 0. Let a(x) = -x. Determine j*a(k) - p(k).\nAnswer: 2*k - 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s = 3*s - 92. Suppose -c - 4*f = -s - 92, -3*f = -4*c + 517. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -5  (b) -1.3  (c) -0.089  (d) -2  (e) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does 831 divide 16251867?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0702 minus 10?\nAnswer: -9.9298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = -l**3 - 13*l**2 - 12*l - 3. Give z(-12).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 3347\/923 or 3?\nAnswer: 3347\/923","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 r and 1 d when three letters picked without replacement from {t: 2, d: 4, r: 3}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 47 a factor of 1381?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor -n**2\/3 + 24*n + 148\/3.\nAnswer: -(n - 74)*(n + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*y**2 - 25*y + 30.\nAnswer: 5*(y - 3)*(y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 15 - 8. Let p = -3 + n. Which is the closest to -3?  (a) -0.2  (b) p  (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -9*l + 21 + 96. Calculate the remainder when 49 is divided by l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = -62*c - 20. Let i(j) = 5. Let v(q) = -4*i(q) - z(q). Let y(b) = -b**2. Calculate v(y(s)).\nAnswer: -62*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 329352 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = 3*o - 23. Let s(g) = g - 1. Suppose 9*k + 234*k = 972. What is k*s(w) - c(w)?\nAnswer: w + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = 4*x**3 - 42*x**2 + 53*x + 18. Determine u(9).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is -520161 less than or equal to -11443527\/22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 l and 1 m when two letters picked without replacement from lmgll.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 2 + 12. Let l be -3 + 4 - (0 + 1). Suppose -s + l = -d. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -1, -6, 1, 81 in ascending order.\nAnswer: -6, -5, -1, 1, 81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*i + 35 = 5*i + o, 0 = -i - 4*o + 7. Suppose 3*a + i = 2*a + 5*y, 2*a - 30 = -y. Solve -7 + 12*z - 3*z**2 + 8 - a = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 12*m**3 - 3*m**2 + 13*m + 5916?\nAnswer: 36*m**2 - 6*m + 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 232*f - 4*c = 227*f - 28, 0 = -5*c + 10 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 27691, 55442, 83193, 110944, 138695?\nAnswer: 166446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 86219006 divided by -5.\nAnswer: -86219006\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 61\/1088 and 91\/16.\nAnswer: 1088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 467 minutes before 12:08 AM?\nAnswer: 4:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -66 = 2*k - 82. Suppose 4*p = k, 2*p - 39 = -2*l + 15. Calculate the remainder when 148 is divided by l.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1840 and 41630?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -58 - -61. Let c = 5 - o. List the prime factors of -2 - (-4 - c) - -3.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 17, 15, 5, -19, -63, -133, -235?\n\"Answer: -s**3 + 2*s**2 - s + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = -x**2 + x + 274. Let d be p(0). Calculate the common denominator of -55\/4 and -3 - 2\/(-72)*d.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 20 - 18. Let z(d) = -5 + l*d - 9*d + 6*d. Suppose w - x + 2 = -3, -30 = 3*w + 2*x. Give z(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2822 to the power of 1\/2, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = 2*a + 26. Let u(r) = -r - 13. What is 3*k(j) + 5*u(j)?\nAnswer: j + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence lxcc when four letters picked without replacement from clcxlccllxcpcc.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Divide -114048 by 792.\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 234 = -12*n + 6*n. Let j = -28 - n. Calculate the highest common factor of j and 88.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n*n**(-2))\/n)**(16\/7) assuming n is positive.\nAnswer: n**(-32\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 81479 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = -14*u. Let l(s) = -3*s + 58. Let q be l(20). What is f(q)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (1 - -3) + -9 - 0\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -189.491 to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 1\/2  (b) 7.2  (c) -0.3  (d) 1  (e) -0.194  (f) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 198*v = 124*v - 407*v + 9139 for v.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 5911 - 5909.9. Is m at least -0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify p**(-2)\/p**(-27)*(p**(11\/3)\/p)\/p**34 assuming p is positive.\nAnswer: p**(-19\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25*v + 20 = 27*v. Let n = 82 - 76. Suppose -n*t + 7*t = 5. Solve t*f - v + 25 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -4512 + 4514. Solve 0 = 4*c + 2*v - u, -4*c = -4*v - 32 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f + 5*m = -6*f + 182, -2*m + 90 = 2*f. Calculate the remainder when f is divided by (33\/12)\/(2 + 30\/(-16)).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -i + 5 = 4*y, 0*i - 3*y = 2*i - 5 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 384 - 144. Is (30\/12)\/(3\/y) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 2*((2 - 6) + 5). Which is the nearest to -0.4?  (a) 3  (b) 0.5  (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is thirteen quarters of a year in months?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 43\/4 of a second in milliseconds?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3879?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mi when two letters picked without replacement from idmfmdddf?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 3, 0.4, -2\/3, -1\/22?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 48*h**3 - 108144*h + 31*h**2 - 108145*h + 216289*h.\nAnswer: 48*h**3 + 31*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*d + 3*d + 0*d)*(-3 - 8 + 14).\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l - 2*k = 152, k + 3*k + 16 = 0. Let x = -51 - l. Suppose -2*h = -263 + x. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.01 less than -16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = y + 10. Suppose 2*w - 3*w = 10. Calculate h(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1926342 to the power of 1\/2, to the nearest integer?\nAnswer: 1388","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6274572 is divided by 1571?\nAnswer: 1569","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 37, 15, -25, -89, -183, -313, -485, -705?\n\"Answer: -s**3 - 3*s**2 - 6*s + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(6480)*2)**2.\nAnswer: 25920","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is one fifth of a meter in millimeters?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 22*z = 52*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = -2*n**3 + 32*n**2 + n - 27. Give g(16).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = -4*n + 10. Let g(m) = m**2 + 11*m. Let j be g(-11). Let f be o(j). Suppose -7*s + f*s = 156. Calculate the greatest common divisor of 4 and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -13842, -55428, -124746, -221802, -346602, -499152?\n\"Answer: -y**3 - 13860*y**2 + y + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -33, -81, -151, -237, -333, -433?\n\"Answer: c**3 - 17*c**2 - 4*c - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 55ddc12 + 1?\nAnswer: 55ddc13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*h - 5*c - 225, c + 1 = h + 68. Let i = 292 + h. List the prime factors of i.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -327, 9, 563, 1335, 2325?\n\"Answer: 109*n**2 + 9*n - 445","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5341981?\nAnswer: 109, 49009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 4\/6*105\/14. Let w = 117 - 114. Suppose w*j = 3*l + 8 + 4, -5*j + l = -12. Solve 0 = -j*i + i - y for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = 46*z - 3763. Give k(81).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {e: 4, j: 8, b: 7, l: 1}. What is prob of picking 2 e and 1 l?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/7 in 1, 4, 0.1, 1\/75?\nAnswer: 1\/75","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4423 + 32040 + 1365 = 1351*r for r.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 37369?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q + 31 = 107. What are the prime factors of q?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 212 and 196842?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -421*y**3 + y**2 + 616*y + 175*y - 422*y**3 - 18*y + 842*y**3.\nAnswer: -y**3 + y**2 + 773*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*f + 9, m + 14 = -f - 3*f. Let c be 22 - m\/(8\/4). Calculate the highest common factor of c and 161.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -31 - -17 - (33 - 105).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*i + 15. Let n = -133 - -121. Let h be (-3)\/((9\/n)\/1). What is the highest common divisor of i and h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -132100 + -321110?\nAnswer: -1113210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(119) + (-4*sqrt(119) - sqrt(119))*-2)\/(sqrt(84)\/(sqrt(48)\/sqrt(4))).\nAnswer: 11*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -12 + 37. Let k(a) = -a**3 - 15*a + 6*a**2 + 2 - 13*a + x*a. List the prime factors of k(5).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) be the first derivative of -u**3\/3 + 4*u**2 - 3*u - 1. Let l be m(8). Let n be (2\/l)\/(3\/(-18)). Sort n, -1, -7.\nAnswer: -7, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -433442909 * 0.4.\nAnswer: -173377163.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) -2  (b) -4  (c) -0.07  (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round -317.19005 to the nearest ten.\nAnswer: -320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = -4*a + 4. Let o(f) = 5*f - 5. Let c(h) = 5*o(h) + 6*p(h). Let l be c(6). Let j(n) = -n**2 + 2*n + 4. Determine j(l).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (30\/(-18))\/(2*(-2)\/12). Suppose 2*o + 3*o - j = -5, -4*o + 4*j = 20. Suppose -p - p + 24 = o. Solve 5*q = 3*h + p, 3*q - i - 15 = 5*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -3 - 3*17*20\/(-30). Suppose -2*c + 151 - l = 0. What is the greatest common factor of c and 135?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -18752163 rounded to the nearest ten thousand?\nAnswer: -18750000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Divide -7 by 393.\nAnswer: -7\/393","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 57 - 53. Calculate the lowest common multiple of 5 and r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from eeee. What is prob of sequence eeee?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = -31*l. Let u(g) = 4*g. What is u(k(w))?\nAnswer: -124*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3?  (a) -0.2  (b) 2  (c) -3  (d) -475.99\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 872902628?\nAnswer: 2, 13, 41, 409429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*v + 17 = -x, -3*v = -v + 3*x + 1 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k**(-2)\/(k*k*k**6\/k))\/((k\/k**(-1)*k)\/k)**24)\/((k\/k**(-1)*k)**(-2\/65)*((k*(k*k*k\/(k*k**(2\/5)))\/k*k)\/k)**18) assuming k is positive.\nAnswer: k**(-5571\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((p\/p**(-9))\/p**(1\/11))\/(p**(4\/3)\/p*(p\/p**(19\/5))\/p))**(2\/129) assuming p is positive.\nAnswer: p**(4414\/21285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0 + 9. Suppose -f*b + 90 = -4*b. Suppose -z + 2*w + 122 = 0, w = -0 + 2. Calculate the greatest common factor of b and z.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d*d*d*d**4)\/d*d)**36 assuming d is positive.\nAnswer: d**252","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-10)\/(-4) - 2)*2. Which is the nearest to h?  (a) 5  (b) -1\/4  (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 2.02 + -0.02. Let u = 2 - -17. Suppose 4*s - 2*h = h + 7, -4*s - h + u = 0. Which is the closest to r?  (a) 2  (b) s  (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y - 3 + 18 = 0. Suppose y*v + 3*m + 145 = -2*m, 0 = -5*v - m - 137. Is 531\/v*6\/(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 7431, 7462, 7507, 7572, 7663, 7786?\nAnswer: 7947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -34*c + 7632 = -30*c + 4*k, 4*c + 5*k = 7629. What is the greatest common divisor of c and 117?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = n**2 + 5*n + 3. Let o(s) = -s + 1. Let y(m) = f(m) + 2*o(m). Let u be y(-3). Let p(j) = -j**3 + 6*j**2 - 5*j + 6. Determine p(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3065?\nAnswer: 5, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k*((k\/(k\/(k\/((k\/(k**(-5\/3)\/k)*k)\/k))))\/k)\/k)\/k**11*k**(8\/7)*k*k\/k**16 assuming k is positive.\nAnswer: k**(-578\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ll when two letters picked without replacement from lanjnnln?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) be the first derivative of w**4\/24 - w**3 + 3*w**2\/2 - 3. Let k(j) be the second derivative of m(j). What is the units digit of k(9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15091053709 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-5644)\/(-7) + (116 - 110) + 4\/(-14).\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 12\/(-8) - (-1 + 7\/(-2)). Calculate the highest common factor of f and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = 2*o**3 + 10*o**2 - 15*o + 15. Calculate b(-6).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 4, -3, -6, -5, 0, 9, 22?\n\"Answer: 2*t**2 - 13*t + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2718)\/(-180) - -2*(-5)\/100) + (-840)\/70.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.864 - 4.136. What is the smallest value in -1\/2, -0.2, 2\/5, i, 2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3622644400 rounded to the nearest 1000000?\nAnswer: -3623000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q - g = -4, 0 = q + 4*q - 5*g + 20. Suppose q*z = -4*z - 8. Let n be (-287)\/49 + z\/14. Let f(p) = -p - 5. Give f(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -43.4 - -44.395. Let b = j - 0.8. Let n = 0.2 - b. What is n rounded to 3 dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find c, given that 2*c**3\/11 + 140992*c**2\/11 - 51272*c + 564000\/11 = 0.\nAnswer: -70500, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 387 minutes after 1:13 AM?\nAnswer: 7:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 42*n - 19552 + 1408 = 0. What is the highest common factor of 192 and n?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00096448 to five decimal places.\nAnswer: -0.00096","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i + 5*w - 22 = 0, -5*i + 28 - 7 = 3*w. Let n(h) = h**3 - 2*h**2 - 2*h + 1. Let g be n(i). Solve -g*z + 10 = -r + 3*r, -5*z + 4*r = 7 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 120 divide 9922680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -1\/3, -1\/6, -1\/4, 1\/13?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is -7116 >= -7168?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-16 - 1) + (42 - 32)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -211 - -59. Suppose 2*t - 166 = -2*a - 684, -3*t + 255 = -a. Let p = b - a. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-3 - -2) + (-100)\/(-1). Suppose -2*s + 467 = 2*k + 3*k, s + d = k. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-16)\/72 + 775\/45. Let m(d) = -d**2 + 17*d. Let l be m(x). Solve 5*q + 3*f = -10, q - f + l*f = 6 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.88797 millimeters to meters.\nAnswer: 0.00088797","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 22477 - 22477.03628. Round j to three decimal places.\nAnswer: -0.036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is thirty-four fifths of a centimeter in millimeters?\nAnswer: 68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(3) + sqrt(12)\/sqrt(4)*3)**2 + (sqrt(63)\/sqrt(3))\/sqrt(7).\nAnswer: sqrt(3) + 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 176954  (b) 2\/11  (c) -323\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 47 minus -7508?\nAnswer: 7555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) be the third derivative of d**5\/60 + d**4\/8 - d**3\/2 - 6*d**2. Let h be m(-4). Calculate the remainder when (-112 + h)\/(-3) - -3 is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) be the second derivative of -16*t**3 - 255*t**2 + 3*t - 87. Differentiate h(m) wrt m.\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 336 - 339. What is the remainder when (35\/14)\/(265\/(-90) - i) is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 3.8 - 4.3. What is the third smallest value in 1, w, -2\/25?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1 or -251\/7076?\nAnswer: -251\/7076","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -23 + 44. Suppose -29 = 3*n + 4*q, 0*n + 2*q - 13 = n. Let b = 3 - n. What is the highest common factor of f and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 278 - 258. Let o(c) = -7*c + q*c - 8*c + 2*c. Let r(w) = 19*w**2. Determine o(r(n)).\nAnswer: 133*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*t - 2*t = -973. Calculate the common denominator of -83\/6 and (-2)\/(4 + 616\/t).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = -j**2 + 9*j. Let p be f(7). Let z be (-2)\/4*(-4)\/p. Suppose -3*l + 1 - 4 = 0. Sort z, -3\/5, l in decreasing order.\nAnswer: z, -3\/5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 808*j - 2446*j + 821*j + 815*j.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 19 minutes after 5:52 PM?\nAnswer: 6:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 22869 and 156357?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1796 and 16164?\nAnswer: 16164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 41 divide 43419?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) be the third derivative of 4441*a**6\/120 - a**5\/30 - 175*a**4\/2 + 13*a**2 - 46. What is the third derivative of z(x) wrt x?\nAnswer: 26646","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.086864238 - -32.913140262. Let l = 33 - b. What is l rounded to 7 decimal places?\nAnswer: -0.0000045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -4?  (a) 6  (b) 1  (c) -6  (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 8 + 1. Let j be 3*(-3)\/((-18)\/4). Suppose 4 = 4*r, j*k - 4 + 1 = 3*r. Solve -k*y = -0*y - i for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000357379 rounded to 5 decimal places?\nAnswer: 0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) be the second derivative of s**4\/12 - 3*s**2\/2 + 13*s. Let b be v(3). Suppose 5*i - b = 2*i. Is i equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -64 = 2*m - 224. Does 15 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f - 7*f + 396 = 0. Suppose -f = -2*h + 139. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 57 and 779.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = z**2 + 30*z + 31. Let a be w(-29). Suppose 3*q = -p + 2*p - 27, 52 = 4*p + a*q. Is p a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = -o**2 + 2*o - 1. Let c be b(3). Let v be (-6)\/c*16\/(-6). Which is smaller: -5 or v?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-58)\/(-203)*(-98)\/(-126)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w - 1 = 5*g, 0 = 5*w - g + 3*g - 26. Suppose -w*h = -118 + 22. What is the remainder when h is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-10)\/(-1)*(-14 + 16). What is the remainder when l\/(-4) + 4 + 2 + 47 is divided by 26?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 6 + -27\/4. Let v = -3 - -3.5. Let c be 3\/(-5 + (2 - -1)). What is the nearest to x in v, 0.3, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((4*(sqrt(357) - (sqrt(357) - (sqrt(357)*-1 + sqrt(357) + sqrt(357)) - sqrt(357))))\/(4*sqrt(63) + sqrt(7)))\/((-6*sqrt(9)*-1)\/(4*sqrt(3)*2 - sqrt(3))).\nAnswer: 28*sqrt(17)\/39","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 26849846 is divided by 24?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -d26626 (base 14) to base 9\nAnswer: -14300415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -706002 (base 13) in base 11?\nAnswer: -152467a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 59995291?\nAnswer: 947, 63353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = -z + 41. Let n(c) = c - 20. What is -5*n(s) - 3*u(s)?\nAnswer: -2*s - 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -1, 2, -3724, -4 in increasing order.\nAnswer: -3724, -4, -1, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"}
{"text":"Question: Is 7901 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Divide -785370 by -15.\nAnswer: 52358","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = -z**3 + 3*z**2 + 4*z + 4. Let p be s(4). Suppose 4*k = 74 - 6. Let o = 27 - k. Solve -q - p*q = -o for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 33 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 524 divide 3510800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = -a. Let b(s) = 2*s**2 + 1154. What is f(b(c))?\nAnswer: -2*c**2 - 1154","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-24)\/153*-77 + -33*(-24)\/(-66).\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -122081865, -122081860, -122081857, -122081856, -122081857, -122081860, -122081865?\n\"Answer: -q**2 + 8*q - 122081872","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -50*i**3 - 2980*i**2 - 31768*i?\nAnswer: -300*i - 5960","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand -t**4 - t**4 + 3*t**4 + (t - 4*t + t)*(-3*t**3 - 2 + 2) + t**4 - 6*t**4 + 0*t**4 + 3*t**4 - 6*t**4 - 6*t**4.\nAnswer: -7*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -73b6 + 1a4?\nAnswer: -7212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3256?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 6\/(-2) - ((-18)\/(-3) + -6). Suppose y + 3*x = -3*y + 13, -x + 7 = 4*y. Let i be y + 4\/(4\/w). Which is smaller: -3 or i?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = n**3 + 25*n**2 - 49*n + 47. What is the thousands digit of w(-24)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is eleven tenths of a day in minutes?\nAnswer: 1584","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.3, -16.99135, 1\/5, 5 in ascending order.\nAnswer: -16.99135, 1\/5, 0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {c: 3, i: 3, p: 1}. Give prob of picking 1 p and 3 c.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Divide -107126 by -1.\nAnswer: 107126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 + -5 - (1 - 7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 0 + -3023110103?\nAnswer: -3023110103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -16505, -16099, -15407, -14429?\n\"Answer: 143*a**2 - 23*a - 16625","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -18*h**4*o**3 - 12*h**2*o - 592*o**3 wrt h?\nAnswer: -72*h**3*o**3 - 24*h*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1011111100010 - -1101010010000?\nAnswer: 1010101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -38 - (0 - 20) - -3.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -8893.58246 rounded to the nearest integer?\nAnswer: -8894","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) be the second derivative of k**4\/12 - k**3\/2 + k**2 + 3*k. Let v be x(5). What is the units digit of 6*2*2\/v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -29464.9 - 0.07?\nAnswer: -29464.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 139 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -4*j**3*s**3 + 54379*j**3*s**2 - 118*j*s**3 - 717*j*s**2 wrt j.\nAnswer: -24*j*s**3 + 326274*j*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w = 3*w - 9. Suppose 0 = 7*a - 4*a + 3. Let u = a + w. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*i = 3*s - 5, -5*i = 30 - 10 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = -26*t**3 - t**2 - 4*t - 10. Calculate a(-2).\nAnswer: 202","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -319.3 + -8.7. Let f = q + 330. Which is the closest to f?  (a) -1\/3  (b) -2  (c) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 756 and 20727.\nAnswer: 248724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -9 + 8.2. Let g = 1 + m. Suppose -8 = -2*l + 5*d - 38, 4*l + 32 = 3*d. Which is the nearest to 3?  (a) l  (b) g  (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 306270 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1 + 0 - -2) + -62 + 50 + 15?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -5117 + 5156. Sort 1\/4, 42, x, 2, -0.2 in decreasing order.\nAnswer: 42, x, 2, 1\/4, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 3 - 4*(-5)\/(-20). Suppose 4*r = -3*a + 254, -4*a - 3*r - z*r = -338. Calculate the remainder when a is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1162152 is divided by 1161698?\nAnswer: 454","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -531, -569, -607, -645, -683, -721?\nAnswer: -759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-4*h + 8*h + 0*h + 4*h - 3*h - 3*h + (1 + 4 - 3)*(h + h + 0*h) - 1 + 1 + 2*h)*(h + 2*h**2 - h) to i*h**3 + f*h**2 + s + v*h and give i.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -109*m**2*t**2 + 66*m**2*t + 4*m*t**2 - 12 wrt t.\nAnswer: -218*m**2 + 8*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify o*o**1*o*o**1*((o*o**(-1\/4))\/o)**(32\/7)*(o**(-2)\/o**(-3\/5))**33 assuming o is positive.\nAnswer: o**(-1517\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = 7*o**3 + 125*o**2 + 49*o - 916. Give s(-17).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -107936*l*v - 298*l + 148 wrt v.\nAnswer: -107936*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express 90 - 38*m - 90 as x*m + g and give x.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 35 - 28. Suppose 10*t - 600 = n*t. Round t to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-12)\/(-9))\/((-10)\/(-45)). Let p(f) = -f**2 + 5*f + 5. Let h be p(g). Which is bigger: h or -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find v, given that 4*v**4\/3 - 323344*v**3\/3 + 2177613992*v**2 + 65352672560*v\/3 + 163401892900\/3 = 0.\nAnswer: -5, 40423","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -8087 + 13635. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -7362043, 2, -4\/21 in increasing order.\nAnswer: -7362043, -4\/21, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 134 + 501. Suppose 431 - v = -3*x. What is the remainder when x is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = 190*z**3 - 19*z**2 + 144*z + 52. What is the hundreds digit of w(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (605 - (352 - -316)) + 0 + 1 + -13?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-3)\/((-15)\/(-10) - 3). Suppose -l*t - 4*t = -2*t. Solve t*n + 5*n + 24 = -h, -n = -4*h - 12 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 48 - 43. What is the remainder when 49 is divided by -201*(-4)\/60 + (-2)\/x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -2 + 4. Let s = 3 - g. What is the second biggest value in -2\/5, s, -5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = 5*l - 7. Let g be l + -4 - 9183\/(-99348)*22. Let a = 2\/487 - g. What is the common denominator of a and -35\/18?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) be the third derivative of 5\/24*y**4 + 1\/60*y**5 + 0 - y**2 + y**3 + 0*y. Let u be a(-6). What is the highest common factor of 6 and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3715 - 0.262.\nAnswer: -3715.262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-5)\/20 - (-9)\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -205, -156, -107, -58, -9, 40?\n\"Answer: 49*l - 254","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 3\/10 of a millennium?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -13 * 482.32\nAnswer: -6270.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 651, 570, 363, -30, -669, -1614, -2925?\nAnswer: -4662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = 7*n. Let g = 392 - -53. Let i(l) = l**2 + 445*l - g*l. Determine i(a(w)).\nAnswer: 49*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 6\/(-10) + (-3056)\/(-360) and 60\/(-144)*(-42)\/(-9)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = 2*u**3 + 46*u**2 + 85*u + 1374. Calculate t(-24).\nAnswer: -1818","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k + 3*k = g - 16, -54 = -4*g + 2*k. Suppose w - 16 = h, 7*w - 3*w - 104 = -4*h. Calculate the remainder when w is divided by g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -4d7 - -88d2?\nAnswer: 83d9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -929308236 divided by -2\nAnswer: 464654118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 18949?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 4 in -3, 0.05, 1.1, 5, 0.4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = a**3 + 6*a**2 - 8*a - 5. Let c be (3 - 6 - 3) + -1. Let k be y(c). Solve k*l + 2*l + 8 = -j, 5 = -2*j + 3*l for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -16 - -22. Let s(x) = x**2 - 9*x + 9. Determine s(g).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = 2*d**2. Suppose 2*a - 12 + 4 = -4*s, 3 = 3*s. Let q(p) = 17*p**a - 10*p - 3*p - 5*p + 20*p. What is z(q(u))?\nAnswer: 578*u**4 + 136*u**3 + 8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -5 + -13cb?\nAnswer: -13d2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -137\/36 and -41\/732.\nAnswer: 2196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1623524.\nAnswer: 2, 7, 23, 2521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round -16875.66643 to the nearest 100.\nAnswer: -16900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 337*r**4 + 2*r**3 + 22446*r**2 + 166876414*r wrt r?\nAnswer: 4044*r**2 + 12*r + 44892","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 250540790 and 18?\nAnswer: 2254867110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 3 + -1. Let q be a\/8 - (-246)\/(-24). What are the prime factors of (428\/10 - 0)\/((-4)\/q)?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 697 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 9356488*q**2 - 2737886 wrt q?\nAnswer: 18712976*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = -3*y**2 + 3*y + 30. What is p(9)?\nAnswer: -186","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/3 in -0.01, -22, -0.05, -2\/3, 4507\/2, -1\/2?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -12450, -99656, -336368, -797340, -1557326, -2691080?\nAnswer: -4273356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (151*v + 439*v + 191*v)*(-8 + 52 + 3).\nAnswer: 36707*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-14)\/(-8) + 10\/40. Suppose -4*w + 8 = 0, -3*k = k + w + c. Let f be ((5\/4)\/k)\/((-11)\/44). Solve 7 - 2 = f*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) be the third derivative of 0*z + 0*z**3 - 1\/6*z**8 - 1\/6*z**4 + 0 - z**6 - 71\/105*z**7 - 19\/30*z**5 + 2*z**2. Suppose s(i) = 0. Calculate i.\nAnswer: -1, -2\/7, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b - 73 = -k + 1, -2*k + 88 = 5*b. What is the remainder when k is divided by 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1158004 or -0.16?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Do 249974\/49 and 5102 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 866 is divided by 853.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.1279 + 374.\nAnswer: 374.1279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = -61*g**3 + g**2 - 2*g + 1. Let m be w(-2). Let y = -2073\/4 + m. Let t = 433\/20 + y. What is the third biggest value in 3, 0.5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 x and 1 p when two letters picked without replacement from xfppfpzfxixzxpxxix.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 9 - 8. Let r(i) = -i - 7. Let d be r(-9). Let c be 0 - -1 - d\/m. Is c < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -132.565 + 132.5571507. What is m rounded to 3 dps?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -17, 4, 429, -13 in increasing order.\nAnswer: -17, -13, 0, 4, 429","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = 4*p - 0. Suppose -p*q = -6*w + w + 8356, -q + 3 = 0. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:28 AM and 9:43 PM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 45\/5*2\/6. Suppose 2*v - 57 - 191 = 3*x, 2*v = -g*x + 260. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -46770*y**5 - 2*y**4 - 14*y**3 + 19*y + 68626.\nAnswer: -935400*y**3 - 24*y**2 - 84*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Work out 11564 + 1346.\nAnswer: 12910","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = 4*v + 8 - 7 - 2*v**2 + 2*v**3 + 0. Let q(m) = m**2 - m - 1. Suppose -a = a - 4. Let b be 4 + -4 + -1 + 2. What is a*q(j) + b*w(j)?\nAnswer: 2*j**3 + 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let -5*z**3 - 1915*z**2 + 5*z + 1915 = 0. Calculate z.\nAnswer: -383, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -7 + (3 - 3) + 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 b and 1 g when three letters picked without replacement from bcgqqgbgbqtkbbk.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -2, 13 in ascending order.\nAnswer: -2, 3, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6184*r - 9 = 6188*r - d, 0 = 7*r + 3*d + 30 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4213259?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -181*h**5 - 253*h**3 - 8*h**2 - 31000*h - 7 wrt h?\nAnswer: -3620*h**3 - 1518*h - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = -r**2 + r. Let l(q) = q**2 - 5*q. Let i(d) = 5*a(d) + l(d). Let w(m) = 2*m**2 - 3*m + 3*m. Calculate w(i(f)).\nAnswer: 32*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 235 minutes before 7:05 PM?\nAnswer: 3:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 8882009 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = -17*u + 340. Calculate the remainder when a(-4) is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 25704 and 9437904?\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -252803 (base 11) to base 5.\nAnswer: -100231230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((342\/10)\/9)\/((-12)\/24).\nAnswer: -38\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 4 - 4. Let f = z + 8. Suppose 4*i = f, -2*p + 21 + 5 = 3*i. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = -f**2 + 8*f - 4. Let u(k) = -k + 23. Let n be u(17). Give w(n).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 2628 + -2327. Solve 0 = 17*c + 403 - r for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 25549 is divided by 70?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -33608761\/1068652368 - 2\/436541. Calculate the common denominator of -113\/24 and m.\nAnswer: 2448","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -38*l**2 + l + 24*l**2 - 2 + 16*l**2 - 2 to the form w + m*l + o*l**2 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2160*m**2*n**5*z - 75*m**2*n**2*z + 2*m**2*n**2 - m**2 - 3*m*n*z + n**5*z wrt n?\nAnswer: 129600*m**2*n**2*z + 60*n**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 909, 1474, 2051, 2646, 3265, 3914?\n\"Answer: a**3 + 558*a + 350","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:28 AM and 3:53 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 916 is divided by 103?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 388, 396, 402, 406, 408?\nAnswer: 408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -19*-15.\nAnswer: 285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = u + 2. Let k(c) = -c**2 + 3*c + 2. Let f be k(3). Let r(y) = -8*y - f*y**3 + 11 + y**3 + y + 10*y**2 - 3*y. Let m be r(9). Give p(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 420 minutes before 10:58 AM?\nAnswer: 3:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 35 minutes after 9:34 AM?\nAnswer: 10:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort 13, 1, -3.5.\nAnswer: -3.5, 1, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = -m - 2. Let b(q) be the first derivative of q + 1. Let n = -4 - -6. Suppose -4*f - 2 = -2*r, f - 5 + 1 = n*r. What is f*b(a) - v(a)?\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is (7 - -10)\/17*18807*1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = 3*s - 29. Suppose 4*h - 5*k = 20, 0 = h - 3*k + 5*k - 18. Let a be j(h). What is the closest to 2 in 2\/7, a, -4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = -9*x**3 + x**2 - 5*x + 3. Let b = 298 + -297. Let a be p(b). Let i(d) = d**2 + 7*d - 11. What is i(a)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 6*k**4 - 2*k**2 + 50 + 0*k**2 - 3*k**3 - 51 - k**4 - 3*k + 3*k + (-2*k**3 - 3*k**3 + 7*k**3)*(2*k + 0*k + 0*k).\nAnswer: 9*k**4 - 3*k**3 - 2*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 100011101 (base 2) in base 4?\nAnswer: 10131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Are 3 and 95\/46 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 7 - f92?\nAnswer: -f8b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = 309*b. Let d(r) = -2*r + 336232. Calculate d(x(j)).\nAnswer: -618*j + 336232","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4)\/25*(-108)\/36*10\/(-4)?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.2 - -100760.018?\nAnswer: 100759.818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1184.24 + -1206. Let c = n - -13.8. What is c rounded to the nearest integer?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = -7*z. Let r(i) = 171314*i**2. Determine y(r(m)).\nAnswer: -1199198*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 309 and 3193?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = 3*t**3 + 8*t**2 + 3*t - 5. Let o(r) = 4*r**3 + 10*r**2 + 4*r - 6. Let x(f) = -4*o(f) + 5*v(f). Give x(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3223 a multiple of 122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 43352843 to the nearest integer?\nAnswer: 351","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -197*g + 63?\nAnswer: -197","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -270 divided by 90.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 247 is divided by 23.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Product of -16 and 3025.\nAnswer: -48400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 3\/(-16)*(-4)\/6. Let h be 3*(-3)\/(9\/2). Which is the nearest to h?  (a) 3  (b) j  (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 17336269 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 z and 1 c when three letters picked without replacement from izuiciiiizuu.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = k**3 - 6*k**2 + 5*k - 6. Let t be f(5). Let r(w) = w**2 + 5*w - 9. Let s be r(t). Which is the biggest value?  (a) 0.4  (b) s  (c) -1\/7  (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m + 7*l = 5*l - 158, -2*m = 2*l - 322. Calculate the highest common factor of 110 and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 5, -2\/639 in decreasing order.\nAnswer: 5, -2\/639, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put together 0.55 and -7.459591.\nAnswer: -6.909591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ccacccccaaccacacaac. What is prob of sequence caa?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1767 - -265. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3*-2*8\/(-16)*18\/(-99)\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -642*(4\/(-70))\/((-8436)\/24605)\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.1275503 less than -1554655?\nAnswer: -1554656.1275503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((((f\/(((f\/f**0)\/f*f*f)\/f*f))\/f*f)\/f)\/f**(-8))\/(f**(2\/7))**41)\/(f**9*((f\/f**(-5\/2))\/f)\/f)**3 assuming f is positive.\nAnswer: f**(-521\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of y**5 + 0*y**5 + 844*y**2 - 407*y**2 - y**3 - 420*y**2 wrt y?\nAnswer: 60*y**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 18 and 17037?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -145668 * 0.3\nAnswer: -43700.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t + 20595 = 5*u, 12556 = 5*u + 5*t - 8009. Calculate the highest common factor of u and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 41, 0.4, 4.4, 0.7, -1, 0.3, 3 in decreasing order.\nAnswer: 41, 4.4, 3, 0.7, 0.4, 0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 13 - ((7 - -65) + -7 - 15) - (3 - 0).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -28244, -26775, -25306, -23837?\n\"Answer: 1469*y - 29713","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -42 - 16 = -2*b. Let f = 45 - b. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -7  (b) -5  (c) 0.05  (d) -0.52\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d - 3*f = -f + 146, -4*d + f + 118 = 0. What is the greatest common divisor of d and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve q - 4*p = -8, -8*q + 3*p - 727 = -4*q - 721 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from qhqqhhqqhhqhq. Give prob of picking 4 q.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -2\/23 or -5?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(10)\/sqrt(2) + sqrt(5))**2*6*-6.\nAnswer: -720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bmgg when four letters picked without replacement from mgmmbggmgm.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*y - 3*g - 2, 1980*g = -4*y + 1984*g + 8 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = 11*d**2 + 3*d - 1. What is t(1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = 2*j. Let i(f) = 27429799*f**2 + 4. Determine g(i(q)).\nAnswer: 54859598*q**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*y - 3 = 149. What is the remainder when 71 is divided by y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xxpi when four letters picked without replacement from ionnxpxmmmmpnxnmponm?\nAnswer: 1\/6460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 349 - -51.91327481?\nAnswer: 400.91327481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -18643, -18947, -19251, -19555, -19859?\n\"Answer: -304*j - 18339","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express 31*k + 2*k**3 + k**2 - 28*k + k**2 + 68*k**3 in the form p + u*k**3 + f*k**2 + x*k and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 8*w - 55 - 25. Suppose -105 = -4*l + 163. Let u = w + l. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many weeks are there in 1984769.64 minutes?\nAnswer: 196.90175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -7, -108, 0, 1, 4, 3.\nAnswer: -108, -7, 0, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 258086 and 46.\nAnswer: 5935978","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 5965 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -74162 + 0.3?\nAnswer: -74161.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 3151 and 314689?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 35 and 475?\nAnswer: 3325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) be the first derivative of j**6\/21 - 8*j**5\/35 - 6*j**4\/7 - 4*j**3\/21 + 11*j**2\/7 + 12*j\/7 - 129. Factor o(v).\nAnswer: 2*(v - 6)*(v - 1)*(v + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = 30*k - 9. Let l(s) = 34*s - 11. Let m(h) = -3*l(h) + 4*n(h). Give m(3).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = -2*l**2 + 3*l. Let m be a(2). Let p be -5 - -4*124\/(-16). Let o = 33 + p. Sort -5, m, o in ascending order.\nAnswer: -5, o, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 43728\/(-127540)*(-5)\/(-2).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (5 - -1) + (-1 - 3) + 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v**(-8)\/v)**(1\/11)\/(v**13\/(v\/(v**16\/v)*v)))**26 assuming v is positive.\nAnswer: v**(-7670\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = -3*k - 2*l, 5*k + 119*l - 30 = 114*l. Which is smaller: k or -2\/22049?\nAnswer: -2\/22049","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 613 in -4, 2, -4\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yr when two letters picked without replacement from vvvrvryrvrvyvvvv.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 759 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -87, -78, -53, -6, 69, 178, 327, 522?\n\"Answer: s**3 + 2*s**2 - 4*s - 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 109987657895 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 428702?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -9*((-1)\/(-3)*3)\/3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1119815082.\nAnswer: 2, 3, 2389, 26041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 47 a factor of (0 - 5\/25)*-5*846?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 17469796?\nAnswer: 2, 1361, 3209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 4240841 + -1480850. Suppose 0 = 2*g - 5*g + d. Let u be g - (3 + 24\/(-4)). What is u rounded to the nearest 100000?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 (base 10) in base 13?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 15 - 9. Calculate the remainder when 9 is divided by u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*a + 21*a = -g + 76572, -a = 4*g - 25535. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-4)\/10 - 726\/4235)*(-7)\/2. Let s(k) = 6*k. Let v(y) be the first derivative of -5*y**2\/2 + 1. Calculate c*s(g) + 3*v(g).\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = -j**2 + 16*j + 14. Let q be z(6). Suppose -2*v + 3*a = -q, -v - 2*a = 3*v - 180. What are the prime factors of v?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -413 - -395. Let u be (y\/(-8))\/(0 + (-1)\/12). Which is bigger: 5 or u?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*n - 3*l + 17, l - 3 + 4 = 5*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -149, -541, -1193, -2111, -3301, -4769, -6521, -8563?\n\"Answer: -d**3 - 124*d**2 - 13*d - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 362 + -201. What is the first derivative of 46*l + 158*l + z + 24 - 19*l + 38*l wrt l?\nAnswer: 223","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 17937655 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Work out -356292 - -824237228.\nAnswer: 823880936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 5.1 - 0.1. Let d = -7 + r. Let u = -30528 - -30528.4. Which is the closest to -2\/3?  (a) d  (b) 3  (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (4*j - 3*j**3 - 4*j + 5*j**3)*(-89 + 154 + 261) to the form h*j**3 + s + n*j**2 + m*j and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 12540 a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -11011002011 (base 3) in base 5?\nAnswer: -10103311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-12)\/50*(-45)\/27. Let z = f - 28\/45. Which is the second biggest value?  (a) -3\/7  (b) z  (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = 4*w**2 + 235*w - 1295. Give d(-64).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2 + (-63)\/(-30))*(-2)\/1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 17088 - 3964485\/232. What is the common denominator of l and -39\/28?\nAnswer: 1624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 171 and 86067?\nAnswer: 1635273","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c - 60 = -g, 5*c = 5*g - 18 - 342. What are the prime factors of g?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) be the third derivative of -r**6\/30 - 413*r**5\/15 - 605*r**2 - 1. Determine c, given that k(c) = 0.\nAnswer: -413, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-166*w - 157*w + 347*w)*(w**2 + 4*w**2 - 4*w**2) + (3*w**2 + 0*w + 0*w)*(2 + w - 2) + 2*w - 2*w - 2*w**3.\nAnswer: 25*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 3\/40 of a tonne?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (6\/(-25))\/(((-192)\/(-30))\/8)*168\/18.\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from rtjt. Give prob of sequence ttjr.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z - 32 = -6*z - 4*n, -3*n = -5*z + 8. Sort z, -3, 2 in descending order.\nAnswer: z, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2023 + 1\nAnswer: 2024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o*(o*o*o**16*o)\/o*o)\/(o*o**(-22)) assuming o is positive.\nAnswer: o**41","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = -2*w. Let z(c) be the first derivative of 459*c**2\/2 - 3. Let p(h) = -23*h. Let o(k) = 81*p(k) + 4*z(k). What is o(a(r))?\nAnswer: 54*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = m - 2 + 0*m + 3. Let o be i(1). Let h(w) = w - 2. Let s be h(2). Put o, 5, s in descending order.\nAnswer: 5, o, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (9*k + 8*k - 5*k)*(2*k**3 - 3*k**3 + 3*k**3 + (-5*k**2 + 2*k**2 + 2*k**2)*(1 - 1 - k)) in the form m*k**4 + g*k**2 + x*k**3 + s + q*k and give m.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j*j\/j**(1\/5))\/(j\/j**(2\/15)))**(1\/30)*((j\/j**(-2\/7))\/((j\/((j*j\/(j*j**(-4)\/j*j))\/j))\/j))**(-2\/39) assuming j is positive.\nAnswer: j**(-4913\/20475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1815569 and 452844.\nAnswer: 4193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = w**3 - 14*w**2 + 24*w. Let g be q(12). Let f = g + -4. Sort f, 1, 4 in decreasing order.\nAnswer: 4, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.92 + 0.9321. What is a rounded to 2 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 36 - 3. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bho when three letters picked without replacement from ahnbobbnbbhbnabanbo.\nAnswer: 16\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: (-44)\/((-1686960)\/22380) + (-2)\/71\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -915*a + 190*a**2 - 936*a + 1857*a to w*a**2 + f*a + z and give f.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*r - 38 + 38)*(-4*r**2 + 0*r**2 + 5*r**2) + 1 + 15581*r**3 - 8131*r**3 - 8117*r**3.\nAnswer: -670*r**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c*c**(-4\/7))\/(c*c**(2\/13)))**(-30) assuming c is positive.\nAnswer: c**(1980\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -83\/3 - -27. Let d = 12009 + -12009.4. What is the smallest value in 0, -4, d, u?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 575\/6 + (-1)\/(-6). Let r = f - 56. Factor 35*m + r + 5*m**3 + 12*m**2 + 13*m**2 - 25.\nAnswer: 5*(m + 1)**2*(m + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in three fifths of a microgram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 155953 is divided by 1793?\nAnswer: 1755","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1248*j - 544 = 1246*j. Suppose -105*l = -113*l + j. What is the remainder when l is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = 4*t**2 - 2*t - 2. Let n be p(-1). Suppose 1906 = -n*s + s + 4*g, -5*g + 1280 = -2*s. Let b = s + 1227. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1*(-4)\/(-10) + (-591204)\/(-60) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 3819904273?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in 1\/17, -2, -5, -1?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 78 = -j - 4*j + 4*w, -w - 57 = 3*j. Let t = 22 + j. Let f(m) = -m**3 + 5*m**2 - 2*m - 1. Is f(t) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 7 - 3*2\/3. Let u be w - 0\/(-1 + -2). Solve -u*d + 0*d = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 12300 is divided by 1227?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = 9*x + 4. Let l(f) be the third derivative of -f**4\/24 - f**3\/6 + f**2. Suppose 220*a + 194*a = -13*a + 2562. Calculate a*l(b) + n(b).\nAnswer: 3*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -110 minus -140.27984?\nAnswer: 30.27984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9574 is divided by 114.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*i + 7 + 8, i + 18 = -5*c. Let t(u) = -41*u - 113. Let o = -2 - -14. Calculate the least common multiple of o and t(c).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((((((o\/(o\/((o*o**(3\/17))\/o)))\/o)\/o)\/o*o)\/o)\/o)\/o**(-7\/2))\/((o*(o\/(o\/o**(-1\/14)))\/o*o*o)\/(o\/o**(1\/32))) assuming o is positive.\nAnswer: o**(-4887\/3808)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 3 + ((-2)\/1 - -2). Find the first derivative of -10*t**d - 4*t**3 - 3*t**2 + 3*t**2 + 11 wrt t.\nAnswer: -42*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.112 and 5782.7?\nAnswer: 647.6624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 19 divided by -49455\nAnswer: -19\/49455","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) be the first derivative of -9*w + 0*w**4 + 0*w**2 + 12 + 11\/5*w**5 + 0*w**3. Differentiate z(g) with respect to g.\nAnswer: 44*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (11781\/22330)\/153*-10?\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from mmmmmmm.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.4 + -7603498.\nAnswer: -7603497.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -56\/602235 and -40\/3484041.\nAnswer: 470345535","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v\/(v\/v**(1\/3)))**(-3)*v**(-4)*v**(2\/7)*((v**(-2\/7)*v)\/(v*v**(3\/8)))**(-1\/9) assuming v is positive.\nAnswer: v**(-2339\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = a**2 - 41*a - 102. Let j be y(47). Let q(c) = -c + 24 + 0*c**3 + c**3 - 4. Let g be q(0). Calculate the greatest common divisor of j and g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = 4*u - 73. Let m be g(25). Let x = m - 24. Suppose -4*i + 2*f + 16321 = -239675, -6 = -x*f. What is i rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 (base 12) in base 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -17560*l*n - 2758*n + 3 with respect to l.\nAnswer: -17560*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = -3*x + 7. Let j(v) = -2*v + 3. Let t(b) = -11*j(b) + 6*s(b). Suppose 7*d - 6557 + 6585 = 0. Determine t(d).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0 (base 4) to base 16.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = s**3 + s**2 - s - 13. Determine d(0).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 8365523?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -80*b - 57 = -83*b. Suppose -b*n + 13*n = -7446. What are the prime factors of n?\nAnswer: 17, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 5.3 - -15.7. Let r = u + -20.8. Which is the second biggest value?  (a) -4\/7  (b) r  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 552 + -564. What is the units digit of 90 - ((-3)\/6)\/(k\/(-144))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ggy when three letters picked without replacement from gyfgyygggggfyy?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19*o - 105 = 20*o. Let h = o - -425\/4. What is the nearest to 0.1 in -1, h, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t = 2*a - 14, -a = -t - 0*t + 8. Suppose t*w = 102 - 12. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -5 + 4. Suppose -4*a = -2 - 6. What is the second smallest value in k, -1\/4, a?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -42 - -31. Let n(f) = -8*f**2 - 5*f - 11. Let q(l) = 3*l**2 + 2*l + 4. Let i(u) = j*q(u) - 4*n(u). Suppose i(z) = 0. What is z?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 96 divide 46640790?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"}
{"text":"Question: Convert 25.6809 years to decades.\nAnswer: 2.56809","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m\/m**(-20)*m**(1\/2))**(-36) assuming m is positive.\nAnswer: m**(-774)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = -71*d + 651. What is i(9)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 16277928 and 40848.\nAnswer: 32555856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {q: 6}. What is prob of picking 4 q?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1\/((-7)\/4)*(-399)\/570?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 67679 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 10 in 0.67, -1\/3, 6, -0.4, -2?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o + 12*a - 2 = 9*a, 5*o - 5*a - 30 = 0. Let n(v) = -8*v + 12. Calculate n(o).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -y + r + 10 = 0, 5*y + 20 + 8 = -r for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -328*q - 2720 = 26*q - 14*q for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 43339 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = -v**3 - 5*v**2 - 5*v - 4. Let m be (0\/1 - -2) + 2. Let w(q) = q**2 + 8*q - 1. Let z be w(-7). Let a = z + m. Give l(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 827*a**2*r*w**2 + 42697*a**2*r - a**2*w**2 - a**2*w - 2*a**2 - 40*a*w**2 + 312*a*w + 3*r wrt r?\nAnswer: 827*a**2*w**2 + 42697*a**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -31?  (a) -12  (b) -2\/5  (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.02866 less than 0.5565203983?\nAnswer: -0.4721396017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = -2*l**2 + 4*l - 4. Let s be z(1). Find the common denominator of 5\/8 and (s\/3)\/(100\/795).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from dttdtttt.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -386 + 414 + 16 + -3 + -1 + 0.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*x**3 - 10*x**3 - 3*x**3 - 4*x**3.\nAnswer: -11*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -6111 + -106?\nAnswer: -6217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 23951 is divided by 41.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -2 + (1 + 3 - 0). Let n(m) = 6*m**2 + q*m - 4*m + 6*m**2 - 10 + m**3 - 3*m**2. What is the units digit of n(-9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 5 - 5)*(1 - 1 + 2*i) - 660 - 29*i + 660.\nAnswer: -37*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/5 in -69, 2, -15, -1\/9, 0.11?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 121\/7 - 3523\/203. Which is the smallest value?  (a) f  (b) 5  (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r - 53 = 47. Suppose -7 = 3*s + 5*z - r, -4*z = -5*s + 10. Put -3, s, 2 in decreasing order.\nAnswer: s, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 0.7, -12\/13 in decreasing order.\nAnswer: 0.7, -12\/13, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 1690831 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -112 times -40406\nAnswer: 4525472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 2 - 2)*(0*u + u - 2*u)*(5 + 0 - 2)*(-u - 3*u - 5*u).\nAnswer: -27*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = 5*p**4 + 7*p**2 + 7*p - 4. Let u be 7\/3 + 6\/9. Let f(h) = -h**4 - h**4 + 1 + 1 - 3*h**2 - 3*h. Let n(a) = u*g(a) + 7*f(a). Differentiate n(b) wrt b.\nAnswer: 4*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-55)\/11*4\/10?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 602804646.\nAnswer: 2, 3, 11163049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = -3*x + 2. Let o be y(9). Let u = o - -34. Calculate the highest common divisor of u and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/(-4)*8*7\/(-84)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.009489531 to six decimal places.\nAnswer: -0.00949","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -2 - 38. Let n = k - -40.2. Let o = 83 - 83. Which is the closest to -4?  (a) -0.4  (b) o  (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4 + -2 + -103 + 122?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -1\/1601, -3, -1, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 2 + 24145274?\nAnswer: 24145276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -206, 0.\nAnswer: -206, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.856, -1\/4, 10.97?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 773 - 771. Let f(q) = 3*q + 2. Calculate the least common multiple of f(3) and d.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -690851918 by 6840118.\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t + 3*k - 1 = -t, 0 = -5*t + 4*k + 1. Let i = 2 - 0. Which is smaller: t or i?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = -m**3 - 2*m**2 + 17*m + 12. Let h be x(-5). Solve 7 = -h*i + 3 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 3702 - -1?\nAnswer: 3703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -16 + 24. Calculate the highest common divisor of 16 and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -911, -918, -925, -932?\nAnswer: -939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express 12526881 + 16245*t - 12526881 as j*t + s and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 164245 is divided by 81971.\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 318260?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -7966, -11173, -14380, -17587?\n\"Answer: -3207*x - 4759","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qz when two letters picked without replacement from {d: 2, z: 2, g: 4, h: 2, b: 3, q: 1}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 954619 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 705615051 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: Let p = 2244 - 2239. Solve -30*w - p = -35*w, d - 3*w = -1 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (1 - 2)\/(1\/(-5)). Suppose d*t - t = 2*h + 8, 3*h = 5*t - 9. Suppose j - 2 = t*j - 2*p, 3*p = j + 7. Calculate the remainder when 3 is divided by j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1344436 divided by 13.\nAnswer: 1344436\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 3417 a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Product of 9 and 3.6.\nAnswer: 32.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = f**3 - 7*f**2 + 19*f - 17. Calculate the remainder when 49 is divided by r(5).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in one twentieth of a millimeter?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000009613 to seven dps.\nAnswer: 0.0000096","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*h - 5*f - 45 = 0, h + 4*f + 30 = 3*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 925617019 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -33676, -26708, -15094, 1166, 22072, 47624, 77822?\n\"Answer: 2323*o**2 - o - 35998","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 12 + 2020122210200?\nAnswer: 2020122210212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -4160896 and -0.01?\nAnswer: 4160895.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 33\/1490 and 14\/2533?\nAnswer: 25330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -3*((-30)\/9 - -4). Let f be 52456\/12192 + (-1)\/q. Let t = f - -78\/127. What is the common denominator of 19\/6 and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.33, 17, 1.2?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 24*p**4\/5 - 777*p**3\/5 + 1458*p**2\/5.\nAnswer: 3*p**2*(p - 2)*(8*p - 243)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v - 1546 - 13300 = -c, 2*v = -5*c + 14854. What is the thousands digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 3\/5, -25\/8, 277\/39?\nAnswer: 277\/39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-18)\/45*-10*(-1)\/2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 15 a factor of -1*(2 + -1) - (-888 + -9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f*(f*f\/(f**(3\/11)*f))\/f*f)**(1\/17)*(f\/(f\/(f\/(((f**5\/f)\/f*f)\/f))))\/f**(-2\/23) assuming f is positive.\nAnswer: f**(-7791\/4301)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 2172039271 to the nearest integer?\nAnswer: 1295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence my when two letters picked without replacement from {l: 3, m: 1, y: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Work out -2 - 87687.\nAnswer: -87689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = w**3 + 1. Let q(i) = -8*i**3 - 11. Suppose 40 = -17*n - 334. Give n*p(o) - 2*q(o).\nAnswer: -6*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.301 - -5.301. Which is the closest to -0.01?  (a) -3  (b) 0.2  (c) 0.3  (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z + 25 = -5. Let s(i) = 312 - 95 + 30*i - 233. What are the prime factors of s(z)?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -7938*s**3 - 243*s wrt s?\nAnswer: -47628*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2\/5*k**4 + 18\/5*k**2 - 14\/5*k + 4\/5 - 2*k**3.\nAnswer: 2*(k - 2)*(k - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o*o\/((o**(-1\/3)*o)\/o)*o*o*o)**(-43)\/((o*o\/(o\/(o\/(o\/(o**(-11)*o)))*o*o)*o*o*o)\/o**(-6)) assuming o is positive.\nAnswer: o**(-682\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 2 (base 10) to base 14\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -2*h**3 + 43*h**2 + 2*h - 40946 wrt h.\nAnswer: -6*h**2 + 86*h + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-358*i - 68*i + 92*i)*((-1 + 5 - 3)*(-4 + 1 - 3) + 1 - 4 + 2).\nAnswer: 2338*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 9, e: 5, z: 2, n: 3}. What is prob of picking 1 o and 1 z?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -54 - -50. Let s = -0.21 + 4.21. Let p = 2 - 1. What is the nearest to p in s, n, -5\/4?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1412562136 to the nearest integer?\nAnswer: 1122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2284, 4891, 7496, 10099?\nAnswer: 12700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1795949441 rounded to four dps?\nAnswer: 0.1796","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 4844483 or 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is -36763449 not equal to -36763444?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18 = 2*j - 152*y + 156*y, -4*y - 17 = 3*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:37 PM and 1:22 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 26\/106655 or 0?\nAnswer: 26\/106655","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = -i**3 - 6*i**2 - 5*i + 10. Let d be r(-5). Let w = 2.9 - 3. Which is greater: d or w?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = 41*t**3 - 12*t**2 - 6*t + 36. Let k(b) = -124*b**3 + 38*b**2 + 19*b - 107. Determine 19*a(v) + 6*k(v).\nAnswer: 35*v**3 + 42","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -3271 rounded to the nearest 100?\nAnswer: -3300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 4450 less than -26.624092?\nAnswer: -4476.624092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5 + 4*i - 3 - 10.\nAnswer: 4*i - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 97570 and 5855.\nAnswer: 114254470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 645 and 230.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -7*2*3\/(-6). Suppose -5*l + i - 40 = -3*i, -i + b = -l. Let v = l + 28. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 77852035.\nAnswer: 5, 103, 151169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1595 and 5110380.\nAnswer: 1595","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-8)\/17*(-13)\/52.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 398 is divided by 104?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/13 + (-159)\/234.\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 13, 21, 49, 109, 213, 373, 601, 909?\n\"Answer: 2*s**3 - 2*s**2 + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = -2*m**2 + 32*m - 125. Determine i(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -219, -442, -665, -888, -1111?\nAnswer: -1334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c = -2*c - 4. Suppose 4*f - c*g + 0 = 4, 9 = 5*f - g. Let d be (-50)\/f*(-4)\/5. What is the greatest common factor of 5 and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 - (7 + 1 - 3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 3 + -484437627?\nAnswer: -484437624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -0.1 from -51212356706946.\nAnswer: -51212356706945.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 60 a factor of 7447?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express -53 + 53 - 50*n + (7*n - 67*n - 38*n)*(-2 - 1 - 1) in the form o + m*n and give m.\nAnswer: 342","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor 45*n**2 - 355610*n - 909075.\nAnswer: 5*(n - 7905)*(9*n + 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:13 AM and 5:59 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 3a - -3766?\nAnswer: 37a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (1 - (-4)\/2) + -1. Solve 0 = j*p - 7*p + 5 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -598, -698, -856, -1072?\nAnswer: -1346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 8861 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m = 3*m. Suppose 0 = 5*u - 0*u - 5*l - 25, 5*u - 4*l - 25 = m. Calculate the highest common factor of 5 and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -255*w + 207 with respect to w.\nAnswer: -255","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = 5. Let b(y) = y - 1. Let o(u) = 2*b(u) + p(u). Determine o(-7).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -503931, -504039, -504147, -504255, -504363, -504471?\nAnswer: -504579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y\/y**(-46))**(2\/27)*y**(-41)\/(y*y\/(y*y*y*y**(41\/5)*y)) assuming y is positive.\nAnswer: y**(-3688\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6\/14 - (1550035\/(-203) - (-2)\/29)?\nAnswer: 2, 23, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 1205, 11, -35, 5.\nAnswer: -35, 0, 5, 11, 1205","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Add together -0.7444993 and 4678.02.\nAnswer: 4677.2755007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2768898523.\nAnswer: 2768898523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/7?  (a) -2  (b) -2\/5  (c) -77668\/31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 10\/(-4)*-20*27\/10125?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (47 + 10 - 23)*(4*i - 2*i - i)*(-5 + 3 - 2)*(-4 - 1 + 3).\nAnswer: 272*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 449 is divided by 155?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -117*d - 1105 - 884 for d.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 69.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 53735, 214927, 483569, 859661, 1343203, 1934195, 2632637?\n\"Answer: 53725*d**2 + 17*d - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -6 (base 15) to base 7\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 2*7\/2*(-207)\/161?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (84\/(-77))\/((-31)\/(465\/9))?\nAnswer: 20\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = w**2 + w + 1. Let q be 0 + (18 - (-2 - 2)). Let m = q + -24. Let y be b(m). Are 7\/4 and y equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 m and 1 i when two letters picked without replacement from {m: 7, i: 4}?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 13 - 5. Let c = i - 4. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (8 + -2)\/(-3 + 5). Let t(k) = 11*k**2 + 3 - 5*k**2 - p*k**2 + 4*k. Let a be t(-2). Solve -a = -3*s - o, 2*o + o = -5*s + 5 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 50 + -69. Let m(c) = c**2 + 18*c - 14. Let k be m(q). Solve 4*f + 20 = k*o + 2*f, 4*f = -4*o + 16 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 94474\/589 - 4770\/31. Let z = -1994\/323 + f. Let d be (-2)\/(-9) + 99\/243*-3. Which is greater: d or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c + 72 = 3*c. Suppose i - 19 = c. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 78491 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v + 188 = -4*j, -4*v - 6*j = -3*j + 192. Let t = v + 95. List the prime factors of t.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 184387.94 or -0.2?\nAnswer: 184387.94","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*sqrt(90)\/sqrt(3)*1)\/((sqrt(90) + sqrt(90)*2)\/sqrt(9)*5).\nAnswer: -4*sqrt(3)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -193 - -270. Calculate the greatest common divisor of l and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5\/20*(-32)\/(-14).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is g in 4*g**4 + 233492*g**3 + 3407523872*g**2 + 3407290384*g = 0?\nAnswer: -29186, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1232149 - 9.9.\nAnswer: -1232158.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 811*k**6 - k**5 + 60*k**2 - 52*k.\nAnswer: 97320*k**3 - 60*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 at least as big as -1881\/89977?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 52828868 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = r + 12. Let m be t(-6). Suppose 3*s = s + m. Let f(z) = 3*z**2 - 2*z - 1. What are the prime factors of f(s)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 37, 156, 355, 634, 993, 1432?\n\"Answer: 40*f**2 - f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zyyz when four letters picked without replacement from iddlzdydzyyieyd?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3514646 by -6.\nAnswer: 1757323\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 667 minutes before 9:33 AM?\nAnswer: 10:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*u - 1 + 1 + (-1 - 7 + 1)*(0*u + 0*u - 7*u) + 3 - 3 + u as c + q*u and give q.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -48 = 3*y + 3*j, 3*y = -2*y + 67*j - 61*j + 41 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000151567 to 7 decimal places.\nAnswer: 0.0000152","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = 13*t**2 + 6*t - 6. Let u(o) = 2*o**3 + 35*o**2 + 19*o + 69. Calculate the remainder when x(5) is divided by u(-17).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*c**2 + 750590*c - 28169267405.\nAnswer: -5*(c - 75059)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 157 - 162 - (-2 + 3 - 10).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = -3*g**3 + 2*g**2 + g + 1. Let r(q) = 22*q**3 - 1141*q**2 - 7*q - 6. Determine -2*r(b) - 14*v(b).\nAnswer: -2*b**3 + 2254*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -34 + 34. Suppose s = 7*z - 18*z + 396. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2 - 4*y**3 + 658*y**2 + 5*y**3 - 3 - 905*y**2 as q*y**3 + a*y + u*y**2 + r and give u.\nAnswer: -247","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -8 + 4. Let k = d - -18. Let j = 20 - k. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c - 3*c = -6*c. Let o be ((-2)\/5 + c)*10. Let a(w) = 6*w**2 - 4*w - 25. Let t(g) = -g**2 + g - 1. Let n(i) = o*t(i) - a(i). Differentiate n(y) wrt y.\nAnswer: -4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*l**2 - 1111 + 2228 - 1117 + 7*l**2.\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((r\/(r\/(r**(-4\/9)*r)*r))\/r**(-2\/5))**(-15))**33 assuming r is positive.\nAnswer: r**22","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -38*n + 14*n**2 + 1 + 70*n - 32*n.\nAnswer: 14*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 138, -479, -1506, -2949, -4814, -7107, -9834, -13001?\nAnswer: -16614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 46918902*j**2*r**2 + 3*j*r**2 + 7761*j + 684*r wrt j.\nAnswer: 93837804*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 2939 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1341606?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is (-112)\/5880*(0 - -5)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2*(-3)\/(-7)*(-7)\/2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -514 + 152. Let c = z - -582. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4 - i - 51*i**4 - 15*i**3 + 9*i**2 + 49*i**4 - 9*i**2 to w*i**4 + q*i**2 + k*i**3 + j*i + n and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 115401318*g**3*y**3 + 5077*g**3*y**2 + 1055*g**2*y**2 wrt y.\nAnswer: 692407908*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = 33*v**2 - 3*v - 1. Let s(c) be the first derivative of 11*c**3 - 2*c**2 - 2*c - 1940. Calculate -4*i(r) + 3*s(r).\nAnswer: -33*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -545 + 1369\/3. Suppose -4*w + 132 = -5*h + 488, 4*w = -5*h - 356. Let t = b - w. What is the third smallest value in -1\/7, -3\/20, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-1512)\/(-60)*(((-29115)\/(-10))\/9 - 6). What is the highest common divisor of s and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -4890 + 4889.9992047. Round m to 4 dps.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 a and 2 p when four letters picked without replacement from {o: 2, p: 3, z: 1, a: 3, d: 1}.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 41 divided by 505\nAnswer: 41\/505","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 144369960 a multiple of 84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*o - 75*o - 26*o)*(-2*o**2 - 3*o**2 + 3*o**2)*(-46*o**2 + 105*o**2 - 49*o**2).\nAnswer: 1940*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*x + 13217 = 4*r + 13295, 4*x + 1623 = -183*r for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*c + 6*c + 9 + 2 - 7 to b*c + q and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -46 - -79. Let i = -34 + g. Put i, -3, 2, -6 in ascending order.\nAnswer: -6, -3, i, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -6249 + 9300. Which is smaller: 3050 or s?\nAnswer: 3050","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3.56?  (a) 4  (b) 0.3  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 8423d (base 14) to base 2\nAnswer: 1001101110100011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(125)*-3 + 1 + -4 + sqrt(125) + (0 + sqrt(125) - sqrt(125) - sqrt(125)) + -2)**2*-5.\nAnswer: -22625 + 1500*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*i**3 - 3*i**3 - i**3)*(-4*i - i + 3*i) + (-1 + 0 - 1)*(2 - 2 + i**4) - 4*i**2 - 6*i**4 + 4*i**2 + (-2 + 6 - 3)*(i**4 + 0*i + 0*i) - 2*i**4 - 3 + 3.\nAnswer: -7*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = 47*y**2 + y - 1. Let d be k(1). Let u(q) be the first derivative of -2*q - 2*q + 54 + 4*q**2 - d + 0*q. Find the first derivative of u(v) wrt v.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -133158*x**3 + 129527*x wrt x.\nAnswer: -798948*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 204209?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 4, -0.1, -3\/37, 0.3?\nAnswer: -3\/37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -3760*r**5 + 10*r**3 - 92406*r**2 - 41*r?\nAnswer: -225600*r**2 + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) be the first derivative of -168*z - 271\/2*z**2 + 307. What is the first derivative of k(c) wrt c?\nAnswer: -271","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -g*k**3 - 209*g*k**2 + 252*g*k + 7447*g - 54 wrt k.\nAnswer: -3*g*k**2 - 418*g*k + 252*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -31, -4, -83?\nAnswer: -83","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4.04325 millilitres to litres.\nAnswer: 0.00404325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7025*a**3 - 13243*a**3 + 6223*a**3.\nAnswer: 5*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -19 + 122. Let f = 80 - d. Which is smaller: f or -111\/5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 45202 + -8043. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -17598, -35197, -52794, -70389, -87982, -105573?\n\"Answer: i**2 - 17602*i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 83 - -28512?\nAnswer: 28595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1053) + (-1*sqrt(1053) - sqrt(1053)))**2*-2 - ((sqrt(91) + 3*-1*sqrt(91) - sqrt(91))\/sqrt(7))**2 - ((0 + 1*sqrt(1053))**2 + 5)*-3.\nAnswer: 951","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 5743301 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 160684409 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find x, given that -7*x + 122*x**2 - 240*x**2 + x**3 + 4 + 120*x**2 = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13932116 to the power of 1\/2, to the nearest integer?\nAnswer: 3733","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 2\/9, 34\/1065, -5\/3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 444440 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -115  (b) -7.79  (c) -0.2  (d) 2  (e) 27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = 101*o**2 - o - 5. Let g(h) = 126*h**2 - h - 5. Give 4*g(f) - 5*w(f).\nAnswer: -f**2 + f + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 2227789 to the power of 1\/2, to the nearest integer?\nAnswer: 1493","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Work out 3238 + -522480.\nAnswer: -519242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 7, -242, 2\/31, 0, 8\/9?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1476719 is divided by 48?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vrr when three letters picked without replacement from varvvrhrvvhrvrrvh.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.92007276 to 2 decimal places.\nAnswer: -0.92","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.044 take away 15287347?\nAnswer: -15287345.956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = -2*d + 6. Let z = -3703 + 3708. Let n(g) = 3*g**2 - 2*g - 27. Let c(o) = -6*o**2 + 5*o + 54. Let h(f) = d*c(f) + z*n(f). What is s in h(s) = 0?\nAnswer: -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 5 + 3)*(2*b + b - 5*b) + (b - 4 + 4)*(73 - 42 + 74).\nAnswer: 109*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bztk when four letters picked without replacement from {k: 2, z: 1, b: 2, f: 1, m: 1, t: 1}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -1 + (-435)\/33 - 0. Let k = u + 14. Let p = -0.001 + -0.399. What is the closest to -1 in -3\/4, p, k?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 2403 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*j + 4*t + 1644, 0*j - 2*j - t = 819. Is (0 - (-2 + j)) + 3 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2242888 is divided by 3647?\nAnswer: 3630","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = 4*o**2 + 4*o. Let f(m) = 5*m**2 + 5*m. Let d = -1 + -1. Calculate d*f(v) + 3*q(v).\nAnswer: 2*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 b and 1 k when two letters picked without replacement from {x: 1, b: 2, k: 1, v: 4, a: 1}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -39 + -5 + -29 + 64\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 z, 2 f, and 1 r when four letters picked without replacement from {z: 1, f: 4, p: 3, r: 2}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -1111111111 (base 2) in base 6?\nAnswer: -4423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = -6*u**2 + 3*u + 6. Let c(o) be the second derivative of 5*o**4\/12 - o**3\/3 - 5*o**2\/2 - 13*o. What is -4*c(v) - 3*q(v)?\nAnswer: -2*v**2 - v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = 2*p**3 + 3*p**2 + 2. Let r(z) = 5*z**3 + 7*z**2 + 3. What is 14*h(n) - 6*r(n)?\nAnswer: -2*n**3 + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert 563.9143m to centimeters.\nAnswer: 56391.43","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 431.445 milliseconds to microseconds.\nAnswer: 431445","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 53879?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -235781637 divided by 863669?\nAnswer: -273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-4 + 1*sqrt(539) + sqrt(539) + -2 - (((sqrt(539) + 0 - sqrt(539)) + -2 - sqrt(539)) + sqrt(539) + 0)) + 4)**2.\nAnswer: 2156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) be the second derivative of 2*t**4\/3 + 75*t. Let n(c) = 10*c. What is l(n(j))?\nAnswer: 800*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4540123022?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (13750*u**2 + 63000*u**2 - 1149*u**2 + 19092*u**2 + 3697*u**2)*(3*u**2 + 0*u**2 - u**2).\nAnswer: 196780*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(-20)\/h)\/(h\/((h*h\/(h*h**(-1\/11)*h))\/h)*h) assuming h is positive.\nAnswer: h**(-263\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1 + 0. Let v(h) be the second derivative of 7*h**5\/20 - h**4\/4 + h**3\/3 + 556*h. Let i be v(l). Calculate the greatest common factor of i and 48.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 - 14 = -f. Suppose 3*w - f = -w. Suppose -4*o + w*s = -66, -2*o + 18 = 2*s - 0*s. Does 10 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = -14 + 4*u - 4*u + 3*u. Let l be o(10). Let p be 8\/3*-10*-3. Calculate the greatest common divisor of p and l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -8313*g**6 - 20195*g**2 wrt g?\nAnswer: -997560*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round 5708841.4 to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*p + 4*p + 13 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:59 AM and 1:41 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is thirteen quarters of a microgram in nanograms?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = k - 17. Let f be a(17). Suppose 2*z + 10 = 3*u, -5*u - z - 4*z = f. Factor 3 + u*i - 13*i - i**2 - 3*i**2.\nAnswer: -(i + 3)*(4*i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 453987330 a multiple of 114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 35.62388 and 3.86?\nAnswer: 137.5081768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*((-3*sqrt(100))\/sqrt(5) - 2*sqrt(320))\/((sqrt(980) + (sqrt(980)*-1 - sqrt(980)))\/(-4*2*sqrt(5))))**2.\nAnswer: 619520\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 3002885 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = c**2 + 3*c - 7. Let m be d(-5). Let q be m\/(-3) + 4 - 3. Factor -6\/5*z**3 - 2\/5*z**2 + q*z + 0 - 2\/5*z**5 - 6\/5*z**4.\nAnswer: -2*z**2*(z + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 3\/1*(-1984)\/93. Let d be -2*((-8)\/n)\/(5\/12). Let m = 0.2 + 0. Which is the third smallest value?  (a) 7  (b) d  (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -900*h - 402*h + 87276 - 22722 + 17472 = 0 for h.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x**1)**(-46))**(7\/5) assuming x is positive.\nAnswer: x**(-322\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*y - 5*c - 65 + 50, 4*y + 28 = -c for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 29046568?\nAnswer: 2, 3630821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"}
{"text":"Question: Let f(c) be the first derivative of -c**5\/60 + 5*c**4\/24 - 2*c**3\/3 - 17*c**2 - 119. Let k(a) be the second derivative of f(a). Determine k(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y\/(y*y**(1\/4)))**39 assuming y is positive.\nAnswer: y**(-39\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = -t + 1 + t**2 - 3*t + 8*t. Suppose 3*y = 5*j + 10, -2*j - 3*y + y - 20 = 0. What is the lowest common multiple of n(j) and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 2, a: 1, i: 2, l: 1, p: 3, f: 6}. Give prob of picking 1 s, 1 a, and 1 l.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.5, -0.4, 15084.9, -4\/5, 10.\nAnswer: -4\/5, -0.4, 0.5, 10, 15084.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express -3691*q + 4*q**3 + 1826*q + 1837*q as v + l*q**2 + g*q + i*q**3 and give g.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.03 and -0.0385.\nAnswer: -0.001155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: (-10)\/(((-50)\/300)\/(961\/930))\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -27*h + 21 = -34*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p = 12, 3*r + r - 4*p = 32. Suppose -r*v + 22 = k, -4*k - 5*v + 4*v + 43 = 0. Calculate the remainder when 18 is divided by k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2694474287 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: (-1 - -2 - 0) + 0\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-208)\/16 + 21 + (-9)\/(-1). Solve 0 = -2*g + 2*f - 12, 3*f - y = 4*g + 3 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-5 - (-5 + -11)) + -3 - 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) be the third derivative of 23*u**7\/210 + 3*u**6\/20 - u**4\/6 + 211*u**3\/6 - 3*u**2 - 398. What is the second derivative of l(b) wrt b?\nAnswer: 276*b**2 + 108*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -17952\/5 or -3591?\nAnswer: -17952\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1031.3 - -1031. Let y = 0.08 + 2.92. Put 1\/3, y, r in descending order.\nAnswer: y, 1\/3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of (4 - (-3 - -40))*-1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -5 in 184, -0.1, -0.3, 0.4, 7\/16?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(132) - (6*sqrt(132)*2 + sqrt(132)))\/(sqrt(12) + sqrt(12) + 3*(sqrt(72)\/sqrt(6) + sqrt(12))))**2.\nAnswer: 99\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 135\/8 in -0.0178, 277, -4, -2\/9?\nAnswer: -0.0178","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5103 is divided by 44.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = 3*v - 47 + v**2 - 5*v**3 - 2*v + 44. Suppose -6*s + 3*s = 18. Let y = -4 - s. Let i(n) = -4*n**3 + n**2 + n - 2. What is y*d(t) - 3*i(t)?\nAnswer: 2*t**3 - t**2 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = -t**3 + 6*t**2 + t + 4. Let l be v(5). Suppose 5*d - l = -14. Let s = -1.5 + 1.4. What is the nearest to s in 2\/13, d, -0.4?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = -v**2 - 11*v + 2. Let g be w(-11). Suppose 0 = 8*a - 13*a + 3*o - 3, 3*a - g = -2*o. What are the prime factors of (a - 1\/1)\/((-1)\/10)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 78 = -2*f + 4*f. Is f a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1415788 and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = -4*m**3 + 10*m**2 + 46*m + 15. Let i(k) = -k**3 + k**2 + 10*k. Let v(s) = a(s) - 5*i(s). What is v(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1719852 to the power of 1\/2, to the nearest integer?\nAnswer: 1311","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 10055339.\nAnswer: 7, 205211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 3 + 4)*(4*l - 2*l**2 - 4*l - 1).\nAnswer: -6*l**2 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = -3*j**2 - 46*j - 159. Calculate r(-9).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1\/((-3)\/3) - -2 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -k**2\/3 - 22*k\/3 - 7 = 0.\nAnswer: -21, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -431454 * -2.91\nAnswer: 1255531.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 371 - 25*o**3 + 356 - 725.\nAnswer: -25*o**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = -12*s**2. Let u(p) = p**2 - 42. Determine u(n(v)).\nAnswer: 144*v**4 - 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 92029 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: (-35 - -42) + (0 - 52) + -8 + 0 + 5\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 38 - -40. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0.5  (b) -0.5  (c) 27  (d) 5  (e) 346\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in six fifths of a millennium?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -12*g + 3*g**3 - 5*g**3 - 2 + 8*g as y*g**2 + n + k*g + r*g**3 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 18\/(-4)*(1 + (-268)\/12)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1584 divided by -4.\nAnswer: -396","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 8 and 6602.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = 12*h - 2*h**3 + 6*h**2 + 4*h**2 + h**3 + 2. Let i be (-16)\/(-24) + 34\/3 - 1. What is the units digit of l(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 3\/(90\/(-4)*(-6)\/(-30)). Which is the fourth biggest value?  (a) 0.2  (b) m  (c) -2  (d) 0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -9365490 rounded to the nearest one hundred thousand?\nAnswer: -9400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round 3280.2555 to the nearest 100.\nAnswer: 3300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -11299372, -22598747, -33898122?\n\"Answer: -11299375*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3*(-2)\/(-8) + 4\/(-16)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = -3752*y + 16. Suppose 3*m = -2*x + 18, -4*m = -3*m - x - 11. Let o be w(m). Round o to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 684 and 8.\nAnswer: 1368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*a - 5*n - 495, 4*n - 213 - 495 = -3*a. Suppose -18*i = -6*i - a. Calculate the greatest common divisor of 180 and i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 7469 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1686 = -3*j + 129. Calculate the remainder when j is divided by 157.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -276387*c**3 - 3*c + 386363?\nAnswer: -829161*c**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2\/7*c**4 - 4\/7*c - 10\/7*c**2 - 8\/7*c**3 + 0.\nAnswer: -2*c*(c + 1)**2*(c + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = -v**3 - 12*v**2 - 13*v + 22. List the prime factors of a(-11).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.6 and -0.931.\nAnswer: -0.5586","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j = 5*t - 149, -j = -5*t - 4*j + 131. Let x(c) = 11*c**3 + 730 - 2*c**2 - 3*c**3 - 733. Calculate the remainder when x(2) is divided by t.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zz when two letters picked without replacement from {t: 4, z: 2, h: 1, x: 9}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = 55*q + 2685. Let u be j(-48). Let k(a) = a**2 - 43*a - 73. Determine k(u).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 97106474 to the power of 1\/3, to the nearest integer?\nAnswer: 460","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 4\/187 bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -51\/100970 and -91\/2.\nAnswer: 100970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 4398 and 18407829.\nAnswer: 2199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = -189964*m. Let y(r) = 212*r**2 + 2*r. Give v(y(l)).\nAnswer: -40272368*l**2 - 379928*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 277 minutes after 10:24 PM?\nAnswer: 3:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.12786 + -40.8.\nAnswer: -40.92786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.1 + 0. Suppose -3*f + c = 23, -6*c = -f - 3*c - 13. Let h be 1\/(-5)*(1 - (9 + f)). What is the biggest value in 4, d, h?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 910841 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*u = q + 9, 43*u = q + 46*u + 3 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -204 + 133. Let s be (4 + -6)*(-62)\/(-4). Let r = s - c. What is the remainder when r is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = 2*q**2 + 11*q - 1082. Let i be x(-32). What is the greatest common factor of i and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -94.646922 to the nearest 10.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (2 - 1)\/(3\/12). Suppose q*j - 13 - 15 = 0. Does 2 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a + 3*o = 262, 2*a + 0*a + 5*o = 254. Does 32 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from exsxxxxezsxsxbsx. Give prob of picking 1 s and 2 x.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.02829032247 to 3 decimal places.\nAnswer: -0.028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = -x. Let p(d) = 47*d + 2. What is -3*h(s) - p(s)?\nAnswer: -44*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10 is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Work out 7.03427 * -1.1.\nAnswer: -7.737697","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = -2*z - 8. Let i be k(-5). Let v = 22 - 13. Suppose f = -i*f + v. Solve -2*a - n - 4 = 6, 0 = 2*a + f*n + 14 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = 3*l**2 - 12*l + 30. Let m(i) = -4*i**2 + 10*i - 25. Let r(s) = 5*c(s) + 6*m(s). Let q(k) = -2*k**2 - 5*k + 5*k. Calculate r(q(b)).\nAnswer: -36*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) be the second derivative of -4849*i**5\/20 - 3*i**4\/4 + i**3\/2 + i**2\/2 - i + 2422. What is the third derivative of n(s) wrt s?\nAnswer: -29094","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d = 4*v + 1103 + 207, 3*v + 3*d = -987. Which is smaller: -325 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = -5*n + n**2 + 1 + n**3 + 4*n + 0*n**3. Let u(x) = -4*x**3 + 4*x**2 - 4*x. Let s(y) = -u(y) - 2*z(y). Suppose s(b) = 0. What is b?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.2, 2\/45, 5, 255, -2\/55.\nAnswer: -0.2, -2\/55, 2\/45, 5, 255","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 15781434?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*v + 125 = 5*v + 5*b, 5*v - 5*b = 105. Suppose 3*y = 4*d - 44, -2*d + y + 12 = 2*y. What is the remainder when v is divided by d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 392, 1211, 2448, 4109, 6200?\nAnswer: 8727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*h - 4*f + 11 = 9*h, 0 = -2*h - 3*f + 2 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/2 in -0.4, -232.6, 1\/3, 2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a = -2*o - 0*a, -2*a - 4 = -2*o. Suppose -o*p + 2*p - 2 = 0. Let t be 4*p\/3*-3. What is the greatest common divisor of t and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 14 + -10. What is the units digit of w\/16 + (-3)\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2*-218\nAnswer: 436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 4934 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: What is 5\/4 of a hour in seconds?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide 845 by 125.\nAnswer: 169\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -11 + -15 - (1020\/(-20) - -48)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 8698 + -8692. Let i be -3 - (-15)\/(-66)*-14. Sort i, -0.3, 0.5, h in increasing order.\nAnswer: -0.3, i, 0.5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = 2*s**3 - 421*s**2 + 210*s + 3. Give r(210).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.5 plus 759872?\nAnswer: 759872.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = 25*a**2 - 11*a - 24. What is the tens digit of x(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (9\/30)\/(120\/(-200))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = 2*g**2 + g. Let s(m) be the third derivative of m**5\/60 + m**4\/24 - 33*m**2. Determine -r(k) + s(k).\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*i - 34 = -4*v + 7, 5*i - 33 = -2*v for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00063478 to 4 dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 680160 is divided by 2435.\nAnswer: 795","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express -27*m**4 + 89*m**4 - 31*m**4 + 11 + 5*m + 2*m**2 - 33*m**4 as o*m**4 + a*m + b*m**2 + n*m**3 + g and give a.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*z**2 + 2*z - 2*z)*(-25 + 25 - 25*z) to the form n + q*z + u*z**2 + l*z**3 and give l.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Work out 2.807262 - 180.\nAnswer: -177.192738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-1 - -1)\/(2\/1). Suppose w + q = 19. Suppose w = 5*x - 21. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 75164636?\nAnswer: 2, 29, 577, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.916285 litres in millilitres?\nAnswer: 916.285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = -4*c**2 + 32*c + 70. Calculate t(-2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 22456.\nAnswer: 2, 7, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express 1 - 1 + 0 + 178*f in the form i*f + x and give i.\nAnswer: 178","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 2898 and 12716838?\nAnswer: 89017866","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 26 + -4 - (31 + (-32 - -23)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand -o**4 - 5*o + 5*o + (o**2 - o**2 - 2*o**2)*(0*o**2 + 0*o**2 - 2*o**2) + 2*o - 10*o**4 + 3*o - 4*o + 2*o**4 + 2*o - 2*o.\nAnswer: -5*o**4 + o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 50468 and 93.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1046247)\/(-41377) - (2 + 24\/(-14)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(-2))**(-1)\/((s**(-4\/7)\/s)\/(s\/(s**(-19)*s)*s)) assuming s is positive.\nAnswer: s**(165\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -93*j = 20825 - 74579. Is j a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = -t + 4. Let a be v(10). Let g be (-64)\/(-3) - (-2)\/a. Does 14 divide g*-1*8\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hpxwwxxwwxwxww. What is prob of sequence xx?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -0.2, 4, 5, 0.05, -2\/637?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = 11659*w. Let f(d) = -10773*d**2. Calculate f(j(s)).\nAnswer: -1464398463213*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 112 greater than 1230\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-10 - 8*v + 10)*(2 + 1 - 1)*(0 + 0 + 2).\nAnswer: -32*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-1)\/(4 + (-38)\/10). Let o be (-13 - -13) + 1\/k. Which is greater: o or -1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7*y**2 + 0*y**2 - 14*y**2 + 2*y**2.\nAnswer: -5*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -8 + -13 + 29 + -2?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 1, f: 1, k: 1, s: 2}. Give prob of picking 2 f and 1 s.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 10 - 9.6. Let f = 0.3 - p. Put 3, -0.3, f in ascending order.\nAnswer: -0.3, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 6268 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*o - 180 = 9*o - h, -2*o - 3*h = -172. Calculate the remainder when 176 is divided by o.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 32\/(-7) + (-2 + 7)*1?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = 4*n**2 + 21*n + 36. Calculate g(-4).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 38797220 divided by -590.\nAnswer: -65758","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = -6*f**2 + 5*f + 3. Let u be 304\/(-266)*(-7)\/(-2). Let p be (4\/18 + (-42)\/(-54))*u. Let w(r) = 7*r**2 - 6*r - 4. Calculate p*w(d) - 5*c(d).\nAnswer: 2*d**2 - d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 738*m - 221*m = -260*m - 777 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 5  (b) 4  (c) 0.03  (d) -4  (e) 24\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -279 plus -1139528?\nAnswer: -1139807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -130559 - -233226. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 588 minutes before 6:21 PM?\nAnswer: 8:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23*j - 57 = 12. Suppose -4*z + 5*g = 33, -3*z - 8 = -4*g + 17. Let u = j - z. Solve 0 = -u*s + 5*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = 4*j**2 + 8*j + 4. Let g be b(-3). Let i(z) = -21 + 18 + 3*z + g. Calculate the lowest common multiple of 4 and i(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*o - 22*o - 735 = 0. Is 63\/o + (-4434)\/(-7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 20706 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = -x - 3. Let k be v(-11). Factor -i**2 - k + 5*i - i**2 + 3*i.\nAnswer: -2*(i - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10212*b - 2766*b + 1383760 = 5454*b + 6278*b for b.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 218997.\nAnswer: 3, 8111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 531 + -527. Differentiate l*c - 5881*c**4 + 167 + 6041*c**4 - 4*c with respect to c.\nAnswer: 640*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 306 and 128362410.\nAnswer: 128362410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 38993 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -146 + 146. Suppose -35 = -5*x - 3*l, -3*l = 5*x - x - 31. Let h be (x\/6)\/((-3)\/(-18)). Put i, h, 1 in ascending order.\nAnswer: i, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 278 + -278. Suppose -40457 = -a - 2*i, k = 2*a + 32*i - 33*i - 80919. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s - 8*s = s. Let m be (46 - 44) + (s - 0 - 3). Are -2\/475 and m equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -635*n + 662*n - 459 = 0 for n.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 47, 201, 457, 815, 1275, 1837?\n\"Answer: 51*w**2 + w - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 28.8 + -29. What is the second biggest value in -5, l, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.01338569 * -0.4.\nAnswer: 0.005354276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -213 (base 4) in base 9?\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**3\/(j\/(j*j*j**(-4))))**(-2\/93) assuming j is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = v**3 + 2*v**2 + v. Let h(i) = -3276*i**4 + 8*i**3 + 16*i**2 + 8*i + 110. Let q(k) = h(k) - 8*l(k). What is the derivative of q(m) wrt m?\nAnswer: -13104*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1 - -2. Let r(z) = -z - 13. Let b(f) = -2*f - 27. Let g(x) = y*b(x) - 7*r(x). Let s be g(-6). Solve 0 = 2*t - 0*t - s for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:39 PM and 3:03 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*y = 13*y - 5. Suppose -7*g + y*g - 122 = 0. Let v = -41 - g. Calculate the remainder when 56 is divided by v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -20*i**3*k**2 + 143*i**2 - 8*i*k + k**2 - 31 wrt i.\nAnswer: -120*i*k**2 + 286","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 2 - 1. Let b be (-2 + 2 + 1)\/(-4). Let j = -11 - -7. What is the nearest to g in -0.4, b, j?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 49, 104, 175, 268, 389, 544?\n\"Answer: a**3 + 2*a**2 + 42*a + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 6767*r - 7478*r - 18486 for r.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = -k - 14. Let n be u(-8). Let z be (10\/2)\/(1\/n). Is 54 - ((-6)\/z + (-28)\/(-10)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from nnllnnnl. Give prob of picking 3 l.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -187c (base 13) to base 4\nAnswer: -321010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (0 + (-2)\/8)*410\/2. Let a = -779\/16 - j. Find the common denominator of -59\/116 and a.\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18*s - 5*t + 2959 = 2784, -13*s - 3*t + 116 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*q + 3*q + 3*q)*(-4*q**2 - 4*q**2 + 3*q**2 + (q - 5*q + 2*q)*(0*q + q + 0*q) + 5 - 5 - q**2).\nAnswer: -8*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1628041?\nAnswer: 487, 3343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v + 3 = -2*x, 24 = -4*x + 5*v + 73. Let k(b) = 2*b**2 + 6*b + 4. What is the tens digit of k(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -442722415, -885444832, -1328167249?\n\"Answer: -442722417*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1874378 and 5522.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n = 15 - 5. Let i be (-210)\/(-75) - 1\/(-5). Let x be (i - n) + -1*3. Which is smaller: 2 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {j: 1, o: 3, z: 1, m: 1, x: 1}. What is prob of picking 1 z, 2 o, and 1 j?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 302 and 755.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = -318*g + 15490. Calculate h(48).\nAnswer: 226","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 s, 2 v, and 1 p when four letters picked without replacement from {p: 2, v: 2, s: 1, c: 1, n: 1, b: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 2\/(-10) + (1 - 2). Suppose 3*c = 3 + 15. Let v be 41\/44 + c\/(-8). What is the second smallest value in v, s, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2552066161 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (128\/(-12))\/(-8)*12\/(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 6791 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 463 minutes before 9:38 PM?\nAnswer: 1:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = 50*y**3 - 5695*y**2 - 11680*y - 5830. Let u(p) = -3*p**3 + 335*p**2 + 687*p + 343. Let t(f) = -2*r(f) - 35*u(f). Let t(s) = 0. What is s?\nAnswer: -1, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 17 a factor of 48978781?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m**4\/5 + 498*m**3\/5 + 63461*m**2\/5 + 359652*m\/5 - 423612\/5 = 0. What is m?\nAnswer: -246, -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is a in 6*a**4\/7 + 15*a**3 + 435*a**2\/7 + 480*a\/7 + 144\/7 = 0?\nAnswer: -12, -4, -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (i**2 - i**2 + 3*i**3)*((-i + 4*i - 2*i)*(-2*i + 3*i + 0*i) + (-73*i**2 + 37*i**2 + 2*i**2)*(-2 - 3 + 3)).\nAnswer: 207*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (-525)\/70*50\/(-5685) and -34\/11.\nAnswer: 4169","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*i**4 - 275*i**3 - 870*i**2.\nAnswer: 5*i**2*(i - 58)*(i + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = 249*k**2 + 40*k - 7. Let u be (60\/(-90))\/((-2)\/6). What are the prime factors of b(u)?\nAnswer: 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 5970 and 16?\nAnswer: 47760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 34 a factor of 91766?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 97\/55000 and 87\/753500.\nAnswer: 7535000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 583 is divided by 122?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*i = -o - 190 + 196, 4*o + 2 = -3*i for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is (-8)\/(-40)*(-36 + -56 - -19)?\nAnswer: -73\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16569*z = -5*a + 16572*z - 23, 0 = 5*a + 4*z + 16 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-54)\/12)\/(1 - (-7)\/(-4)). Let r(a) = a**3 - 2*a**2 - 7*a + 7. What is the hundreds digit of r(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 705 and 33380199?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand 5*b**5 + 13*b**5 + 28*b**5 + (-3 + 3 - 4*b)*(b**4 - 2*b**2 + 2*b**2).\nAnswer: 42*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*s**5\/11 - 26*s**4\/11 + 76*s**3\/11 + 152*s**2\/11 - 48*s - 576\/11 = 0. Calculate s.\nAnswer: -2, -1, 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -10 - -7. Let u be 28\/63*(-243)\/(-72). Which is the nearest to -0.3?  (a) u  (b) w  (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -3278878*s**4 - s**2 - 7075048*s?\nAnswer: -39346536*s**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-1)\/(-8))\/(-1*2\/(-16))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-213*r - 37*r**3 + 2*r**4 + 213*r)*(12 - r - 27 + 14).\nAnswer: -2*r**5 + 35*r**4 + 37*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = -5*f + 2*u + 21, 0 = 3*f - u - 10. What is the third derivative of 12*d**3 - 12*d**3 - d**5 - 3*d**f wrt d?\nAnswer: -60*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + -4*1*(-3 + sqrt(288)))**2.\nAnswer: -672*sqrt(2) + 4657","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -46, -120, -246, -424?\nAnswer: -654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(sqrt(60)*2 + sqrt(60)))\/(sqrt(12) + 2*1*sqrt(12)).\nAnswer: 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y - k = 7 - 6, 4*y + 5*k = 1. Let i(u) = -5*u + 19. Calculate i(y).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.2 > -4.01?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -276 - 557667?\nAnswer: -560165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 904 and 16523877?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*j = 3*j - 3*y + 18, 0 = -y + 1. Let z = 47546 - 47542. Sort 0.04, z, -2, j.\nAnswer: -2, 0.04, j, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -365713.0199 + 365747. Let w = -0.0199 - h. Which is the third biggest value?  (a) -3  (b) 1  (c) w  (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 140*u - 4*s = 137*u - 2, s - 8 = -3*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express (3*y**3 - 8*y + 8*y)*(400*y + 4 - 1750*y - 1064*y - 106*y - 572*y) in the form q*y**3 + s*y**4 + a + j*y + v*y**2 and give s.\nAnswer: -9276","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -479*h**4*r**2 + 15694*h**2*r**3 - 32*h*r**3 + 7*r**3 + 72931 wrt h.\nAnswer: -5748*h**2*r**2 + 31388*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = s**3 + 14*s**2 - 2*s - 26. Let n be x(-14). Let k = 0 + n. Let t(h) = -1 + 0*h - 1 + 1 - k*h. What is t(4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -22c (base 13) to base 2\nAnswer: -101111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 32*i = 37*i - 1035. What is the greatest common divisor of i and 552?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1b (base 16) to base 13\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 7107.64 - 7107.139989. Let z = y + -0.5. What is z rounded to five dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*w - o = 35, -4*w + 8*w + o - 24 = -4*o - 19 - 48 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-3 + 7)\/12)\/(1\/3453) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 58 + -40. Suppose 1 = -4*z + 33. What is the least common multiple of v and z?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) be the third derivative of -z**5\/12 - 35*z**4\/24 + 65*z**3 - 569*z**2. Factor h(c).\nAnswer: -5*(c - 6)*(c + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 s, 1 y, and 2 f when four letters picked without replacement from {s: 4, y: 1, f: 3, u: 3}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -631, -477, -265, -25, 213, 419, 563?\nAnswer: 615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 269 is divided by 69?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = 8*a + 21. Let m be t(3). Suppose -2*h = 10, 5*j + 0*h + 5*h - m = 0. What is the greatest common factor of j and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 219*y**2 - 2 + 214*y**2 - 13*y**2)*(-2*y**2 + 4*y**2 - y**2).\nAnswer: 420*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 234231 is divided by 38?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-76)\/18 - (-12)\/54. Let n(w) = w**2 + 6*w. Let s be n(j). Let f = 10 + s. What is the greatest common divisor of 2 and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) be the first derivative of 49*z**2\/2 + 7*z - 2. Is g(3) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*g - n + 451695, 5*g + 568993 = 2*n - 183832. Let o = g + 580565. Round o to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3\/7*o**2 + 900\/7*o + 1788\/7.\nAnswer: 3*(o + 2)*(o + 298)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -285.58 - -282.58. What is the biggest value in -1\/6, -122, s?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many weeks are there in 306163.557 minutes?\nAnswer: 30.37336875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = 2*u**2 - 2*u + 3. Let g be i(2). Suppose -629 - 406 = 23*c. What is the least common multiple of 208 and (-30)\/g*210\/c?\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = 428*n**2 + 27*n - 41. Let i be j(9). What is i rounded to the nearest 1000?\nAnswer: 35000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.3 in 0, 88, -0.76, 2, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2228, 8816, 19796, 35168, 54932, 79088?\nAnswer: 107636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -12\/11 or -9.86?\nAnswer: -9.86","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 49 and 200655?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1306 = 7*f - 15410. List the prime factors of f.\nAnswer: 2, 3, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2439379 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 3\/11  (b) -0.4  (c) -9\/70\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (2\/3)\/(28\/(-63))*-2. Let r(v) = v**3 - v**2. Suppose 3*k + k = -20. Let w(z) = -4*z**3 + 3*z**2 - 2*z - 1. Let l(n) = k*r(n) - w(n). What is l(u)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -17 + 30. Let p = x - 13. Solve t = -p*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 3803 - 3801. Which is the closest to j?  (a) 1\/3  (b) 2\/7  (c) 2.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-6)\/33 + (-31)\/11. Let u be (-5)\/q + (-2)\/(-6). Solve -u*i - 5 = 3*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 11985 and 8751?\nAnswer: 34960245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 103 divide 20395751?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:31 AM and 9:09 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = 5*b**3 - 32*b**2 - 32*b + 20. Let n(h) = -2*h**3 + 11*h**2 + 11*h - 7. Let z(j) = 3*f(j) + 8*n(j). What is z(-7)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5847?\nAnswer: 3, 1949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k + 3*n - 101 = -2*n, -2*n + 8 = 0. What are the prime factors of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve j - 1410 = -1408 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 5696400 and 8037.\nAnswer: 324694800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = a**2 - 4*a - 7. Let s be r(-2). Suppose -3*c - 2*f = c - 12562, 0 = -5*c + s*f + 15680. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 133 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 5203 and 285692?\nAnswer: 473","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 6139 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 58120 and 3960?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-106 - 58374\/(-552)) + (-165)\/(-4) + 0.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(25) + (sqrt(1225) - sqrt(1225)*1))\/(2*sqrt(20)).\nAnswer: sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = -k**2 + 85*k - 324. What is the remainder when 1188 is divided by q(77)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) be the first derivative of -2*w**6\/15 - 92*w**5\/25 - 137*w**4\/5 + 44*w**3\/15 + 1452*w**2\/5 - 661. Determine y so that r(y) = 0.\nAnswer: -11, -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.03, 1\/11, 5, 2\/3.\nAnswer: 0.03, 1\/11, 2\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1108*t**3 + 1 + 2226*t**3 - 2 + 1 - 1105*t**3.\nAnswer: 13*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -63423996 divided by -3?\nAnswer: 21141332","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2791 - 2777. Solve -51 = -w*c - 9 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -4 + -3. Let h = y - -7.06. Which is the second biggest value?  (a) 2  (b) 3  (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1397904073 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 293 divide 2135970?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = -9*l**3 - 33*l**2 - 6*l - 127. Let x(v) = 2*v**3 + 2*v**2 + v - 1. Let y(a) = -j(a) - 6*x(a). What is the derivative of y(q) wrt q?\nAnswer: -9*q**2 + 42*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -607*n - 15530 = -611*n + 55438. List the prime factors of n.\nAnswer: 2, 3, 2957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 36, 138, 306, 540, 840, 1206?\n\"Answer: 33*n**2 + 3*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.08 in -1, 0.5, -7\/2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 120487 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 27 divide (-11976)\/(-168) - (-4)\/(-14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1\/22102 + -70505371\/198918. Let g = 33007\/90 + d. What is the common denominator of g and 115\/6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 284800 rounded to the nearest ten thousand?\nAnswer: 280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -3290 divided by 23?\nAnswer: -3290\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express 10*j**2 - 8*j**2 - j - 182*j**4 + 185*j**4 - 2*j**3 in the form q*j**2 + i*j**4 + y*j**3 + x*j + l and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = 127*o + 1. Let n be (6\/3 + -1)*1. Let m be y(n). What is the greatest common factor of m and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*y**4 - 108*y**3 - 2640*y**2 - 4816*y = 0. What is y?\nAnswer: -14, -2, 0, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -260 divided by 13?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -90 + 94. Solve 5*h = 6*d - 3*d + 15, -f*h - d = 5 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (39\/702*-18)\/((-1)\/18)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -4 times 0.08135178\nAnswer: -0.32540712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c - s = -13 - 32, 96 = 2*c + 4*s. Let m = 44 - c. Solve 5*h + 3 = m*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0 + 14. What is the remainder when 53 is divided by b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 318.224 + -391.2. Let o = -0.024 + n. Let m = 69 + o. Which is the second smallest value?  (a) 0.5  (b) -0.2  (c) 1  (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m\/m**(-1\/3))**(-24)*m**2*m\/m**(-2\/7)*((m\/m**(-5\/2))\/m**4)**(4\/5) assuming m is positive.\nAnswer: m**(-1019\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 22\/6 + ((-88)\/12)\/11. Which is the closest to 2\/7?  (a) 0.2  (b) -0.2  (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -132 - -50032?\nAnswer: 45500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + (sqrt(1800) + 1)*6)**2.\nAnswer: 3960*sqrt(2) + 64921","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Total of 0.241 and 1398.\nAnswer: 1398.241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*x - 56 = -4*r, 4099*x - 4100*x = -5*r + 64 for r.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 + -6 - -11 - 3 - -9.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -0.4, -2, -18, -11, 5\/2, 0.5?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 4304751 a multiple of 312?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -232321 = 4*g + 3*y - 1317150, -3*g - 2*y = -813623. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12735*y = -14929 + 16517 - 20764 - 69969 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -876 = 749*n - 603*n for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*x**5 + 14664848*x**4 + 17921578336512*x**3 + 7300677519877615616*x**2 + 146006381883535851520*x = 0. What is x?\nAnswer: -1222064, -20, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 1\/4, 2, -2\/75?\nAnswer: -2\/75","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 612647 is divided by 1033?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.3 and -33208.\nAnswer: -9962.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 5469396?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/2855 in 4, 2, -4, 1020?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3 in 0, 0.2, -0.6, 0.082?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = 5*z**3 + 2*z. Let k(l) = 2*l + 23. Let p be k(-12). Let d(r) = r**3 + r**2 + r. Determine p*y(s) + 2*d(s).\nAnswer: -3*s**3 + 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -20 - -35. Solve 4*z = -5*o + 9, -2*o = o - m for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = -2 + 8*g**2 + 0 - g + 3*g. What is the units digit of u(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -255, -260, -265, -270, -275, -280?\n\"Answer: -5*i - 250","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n = -3*q - 11, 4*q + 0*n - 8 = n. What is the remainder when 8 is divided by q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) be the second derivative of -h**5\/20 - 7*h**4\/12 - h**3 + 5*h**2\/2 + 3*h. Give v(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.5661877 less than -29.26996?\nAnswer: -29.8361477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 530 minutes after 2:42 AM?\nAnswer: 11:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mgm when three letters picked without replacement from gggmgmgggmgg.\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = -s - 12. What is x(5)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1430043 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 1000, 1951, 2868, 3751?\n\"Answer: -17*y**2 + 1002*y + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 92, -7633, -2 in descending order.\nAnswer: 92, -2, -3, -7633","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 12 + -4 + (6 - (15 + -4)). Let p be 30\/4*(-2)\/(-3). Suppose -1 + 4 = -d + t, 11 = -p*d + g*t. Is d >= -1\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h + 29 = h + u, 0 = -4*h + 5*u - 113. Let x = h - -59. Calculate the lowest common multiple of x and 7.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 309 at least 309?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 3  (b) 1  (c) 0.09  (d) 3\/5  (e) 490  (f) -5  (g) 11\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 30762960809 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 69\/4 - (-4)\/(-16). Let u = o - 20. Which is greater: -2 or u?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 g, 1 c, and 1 h when three letters picked without replacement from pcpgjcppclghp?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 7*j*u**3*v + 32*j*v - 13*u**3*v - 19*u wrt j.\nAnswer: 7*u**3*v + 32*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (168\/(-105))\/(1204\/(-10))*-42*13\/(-78).\nAnswer: 4\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 smaller than -137772?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2094 (base 11) to base 10.\nAnswer: -2765","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*r**2 + 0 + 0)*(r**2 + r**2 - r**2)*(-3*r + 0*r + 2*r) - 362003*r - 2118*r**5 + 362003*r.\nAnswer: -2116*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"}
{"text":"Question: What is twenty-seven quarters of a microgram in nanograms?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 70548236 to the power of 1\/2, to the nearest integer?\nAnswer: 8399","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 959\/(-2466) - 2\/(-9)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -2 + bc76d9?\nAnswer: bc76d7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is (204\/(-34))\/(1 + 0 - 2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-1)\/2)\/(3\/(-174)). Let s = c + -12. Let d = s + -9. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 739149 is divided by 783.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -24*r + 42*r + 65*r = -1826 for r.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.4 + 0.6. Suppose 0 = t - 428*m + 425*m + 14, -3*m = -9. What is the closest to 3 in f, t, -1\/2, -2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 22501 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 4, -877, -4, -3 in decreasing order.\nAnswer: 4, -3, -4, -5, -877","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = -2*a. Let x(b) = -11*b. Let o(u) = -16*u. Let t(k) = -5*o(k) + 8*x(k). Calculate t(v(j)).\nAnswer: 16*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 243\/4?  (a) -3\/10  (b) -5\/8  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 8.463117 litres in millilitres?\nAnswer: 8463.117","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + (((sqrt(405) - (-5*sqrt(405)*2)**2) + (sqrt(405)*2 - sqrt(405))*-6 + sqrt(405) + sqrt(405))*4 + -2)*3.\nAnswer: -486011 - 324*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.10473 + 0.04573. Does 1\/14 = p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1440 a factor of 34646400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 53066 + 4*f - 53066.\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 8\/(-24)*(-1 - 17). Suppose 0 = 3*r - 2*h - s, -2*r + 4*h - 1 = 3. Suppose 17 = t - 3*z - 2*z, -5*t = -3*z - 19. Sort r, 5, 2\/9, t in descending order.\nAnswer: 5, r, t, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -85959, -85957, -85953, -85947, -85939, -85929, -85917?\n\"Answer: z**2 - z - 85959","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -2\/9  (b) -0.8  (c) -1\/14  (d) -2\/5  (e) 155  (f) 2\/11  (g) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -72 + 73. Suppose 3*n = 4 - j, 0 = 4*t - n + 97. Let c = t + 22. Let z(x) = 2*x**3 + 3*x + 1. Calculate z(c).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*l + 60 = 33. Put -3, 4, l, 2 in descending order.\nAnswer: 4, l, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 180\/15*8\/(-12)*-6*2\/80?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = 1388347112*c. Let x(n) = -2*n**2. What is x(t(h))?\nAnswer: -3855015406797481088*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + 3 + (-5 + (sqrt(300)*-1*2 + sqrt(300) + 3*sqrt(300)*-5)*-5)**2.\nAnswer: -8000*sqrt(3) + 1920029","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w - u - 5 = 4*u, -10 = w + 3*u. Solve -6*n + 2*n = 3*s, -n = 2*s + w for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 2404 + 5.\nAnswer: 2409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = -y**2 + 11*y. Determine l(11).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = x**3 + x**2 - 4*x + 5. Let c be p(-4). Let m(w) = -w**2 + w + 78. Calculate the lowest common multiple of m(-5) and (8\/(-6))\/(6\/c).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = 116*x + 24. Let q be n(11). Suppose -3*f = -5*m - q, -2*m = -4*f + 150 + 1574. List the prime factors of f.\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let r = 33 - 30. Calculate the remainder when 5 is divided by r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8.1796 rounded to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -46, -60, -84, -124, -186?\nAnswer: -276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -9\/8, -0.02953, 1\/6 in descending order.\nAnswer: 1\/6, -0.02953, -9\/8, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from saiamuuuuu. Give prob of picking 1 i, 1 s, and 1 m.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 22 - 1\/(1\/(-2)). Suppose s + 13 = -1. Let c = s + x. What is the remainder when 29 is divided by c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 (base 10) in base 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(405) + 0 + 1*sqrt(405) - (sqrt(405) - (-4 + sqrt(405) + -3))**2.\nAnswer: -49 + 18*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(-9\/4)\/(k*k*k\/k**15))\/(k\/k**(-23)*k*k\/k**(-22)) assuming k is positive.\nAnswer: k**(-153\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -207*k + 765 = -212*k. Let b = k - -154. Which is smaller: -1\/73 or b?\nAnswer: -1\/73","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*k**4 + k + 22 - 366*k**3 - 2*k**2 - 2*k + 179*k**3 + 244*k**3 to y*k**4 + o*k**2 + c + v*k + f*k**3 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 1c0b (base 16) in base 6?\nAnswer: 53123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 385 minutes before 7:57 PM?\nAnswer: 1:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -80 + 82. Factor 2*j**t - 54*j + 18*j + 26*j.\nAnswer: 2*j*(j - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 25552 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert 522.6419 millennia to years.\nAnswer: 522641.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = n + 6. Let w(k) = -59*k - 183. Let a be w(-3). Calculate t(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine s so that -4*s**5 + 168*s**4 + 6676*s**3 - 45368*s**2 + 4608*s + 241280 = 0.\nAnswer: -29, -2, 4, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 24328 - 12*r**2 + 24326 - 48654.\nAnswer: -12*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s + 839990 = 4*l, l - 5*s - 38510 - 171500 = 0. What is l rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 72402?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 11\/281, 12, -0.1, 1961?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (127*m**5 - 297*m**5 + 150*m**5)*(3 - 2 + 2).\nAnswer: -60*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 10200111 + 2?\nAnswer: 10200120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -0.1, 329, 0.15?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 320, -835, 6, 5 in descending order.\nAnswer: 320, 6, 5, -835","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = k**2 - 6*k + 1. Let r be t(5). Let z(c) = -28*c**2 - 4*c - 5. Let u be z(r). Let i be 2746*u - (2 - 4). What is i rounded to the nearest 100000?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (9\/3)\/(6\/2)*1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1713*h + 2522*h + 712*h)*(4*h**4 + 0*h**4 - h**4) + 0 + h**5 + 0 + (h + 0 + 0)*(4*h**4 + 2*h**4 - 4*h**4).\nAnswer: 14844*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 2599472?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 9114395138?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -17.27 + 0.27. Let y = z - -12. Which is the nearest to 3?  (a) -2\/3  (b) -1\/3  (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = 124*t. Let q(l) = -5*l**2. Give o(q(z)).\nAnswer: -620*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y - 205 = 1574. Let v = y - -922. Is v a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 20 divide 213305160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-14)\/(364\/(-143))*(1 - -1).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 318 - 318.1. Let f = 3.5 - 14.5. What is the closest to -1 in m, f, 0.5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 164*g = -5*h + 716, -2*g + 149 - 177 = -3*h for h.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 296 is divided by 105.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = -189*p + 70 - 184 + 77 + 107. Is g(-7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 5057, 20282, 45657, 81182, 126857?\nAnswer: 182682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -37682, -37684, -37686, -37688?\nAnswer: -37690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 387147*g - 36 - 387151*g + 36.\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = -9*u**3 + 3 + 0 - 2. Suppose -3*c - 185 + 50 = 0. Let d = -46 - c. Calculate v(d).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = s**3 + 6*s**2 + 7*s + 6. Suppose 5*o = -20 - 5. Let n be m(o). Sort -2, 2, n.\nAnswer: n, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 374618369 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Are 197986\/729 and 272 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4456 (base 16) to base 14.\nAnswer: 6538","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 4641 and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(-9)\/o**(13\/5))\/(o**(-2\/15)*o**(-10)) assuming o is positive.\nAnswer: o**(-22\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-3 - 6)\/(-9))\/(1 - 222198\/222204) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 51\/4 of a litre in millilitres?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = u - 3. Let o be x(5). Suppose o*f - 12 = 4. What is the remainder when 15 is divided by f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*y**3 + 22 - 22)*((-3 + 3 - 2)*(3*y - 2*y - 3*y) - 13*y - y - 9*y).\nAnswer: 114*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -15.096 + 15.196. What is the second biggest value in 75, 47, u?\nAnswer: 47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (4\/(-6) + 1)\/(57\/(-18)). Which is the nearest to -0.1?  (a) -0.4  (b) -2  (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 196493387 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = -k - 5. Let h be v(-6). Is h at most -5\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*u - 28 + 26 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 4, 1\/12, 2\/21?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(-2\/9)*s**(-13\/2)\/s)**(-3\/8)*(s*s**(2\/5))**31\/(s\/s**(-2)*s*s\/(s*(s*s**(-9)*s)\/s)) assuming s is positive.\nAnswer: s**(8231\/240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.0999999 - 0.1. Let u = 0.11 - 0.11. Let a = y - u. Round a to 7 decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1027.98 + -1038. Let f = 0.02 + z. Let d = 38.94 - 39.34. What is the third smallest value in f, d, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -5  (b) 1.2  (c) -0.7  (d) 1  (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/7?  (a) -4  (b) -1.59  (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 150\/4*(-3)\/180*-24?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*m + 1 = m - j, -j + 12 = 3*j for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 1*-12*11\/(-22). Solve 5 = -5*j - d, -3*j - f*d + 4*d = -4 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 701\/266220 + 1\/580. Sort -5, -4, -3, f in decreasing order.\nAnswer: f, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n - o = 3*n - 15, 5*n - 4*o + 45 = 0. Let s = 11 - 7. Put n, -2, s in increasing order.\nAnswer: n, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4\/6*45\/(-30)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -3545805, -7091610, -10637415, -14183220, -17729025?\n\"Answer: -3545805*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-5)\/((-16)\/24 - (-19)\/6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 233 + -233.278. Let d = -0.139 - l. What is d rounded to two dps?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:53 AM and 11:35 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 22388 (base 11) to base 10\nAnswer: 32403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 8.40017 rounded to 0 dps?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-576)\/(-30) + 3\/(-15)*1. Let w(k) = k**3 - 17*k**2 - 39*k + 18. Let c be w(p). Let y(a) = -a**3 - a**2 - 2*a - 1. What is y(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (12 + -3)\/(-6 + (-135)\/(-18)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is -335783 bigger than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -16 - -22. Suppose k = -p + 4. Suppose 4*h = -o - 2*o + 17, 0 = 2*o - 4*h + 22. Which is the third biggest value?  (a) 5  (b) p  (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = 3*c + 2. Let y(d) = -d. Suppose -5*b - 2*u = 7, -u = -4*b - b - 4. Calculate b*m(o) - 2*y(o).\nAnswer: -o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**4*z*z*z)\/((z**(-3\/4)*z)\/z)*(z**(-1)*z)\/z**5 assuming z is positive.\nAnswer: z**(11\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = -27*c - 1365. Determine d(-58).\nAnswer: 201","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*z + 3 + 13 = 4*j, -17 = -5*j - 4*z for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kx when two letters picked without replacement from {x: 1, k: 2, r: 2, f: 4}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-330)\/(-16))\/(-5) - -4. Does 0.2 = o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1964814211 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1011001101010101010 - -1?\nAnswer: -1011001101010101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-6)\/(-27)*(-17 - (-16321)\/114 - (-4)\/(-24)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 10031015?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = x**2 - x. Let l(h) = -h**3 - 8*h**2 + 3*h - 6. Let i(m) = 6*f(m) + l(m). Let w be i(-3). Solve -4*j + 3*b = -0*j - w, 0 = 2*j + 4*b - 6 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 522919 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*k - 4 + 6 = -4*c, -4*c - 12782 = -3*k - 12768 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 114\/(-399)*14\/8*40\/4. Sort 68, -6, c in ascending order.\nAnswer: -6, c, 68","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 2\/5, 97, -5, -4, 422, -2\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 65 - 1681?\nAnswer: -1619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15*u - 17*u + 6 = d, -2*d = 5*u - 15 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -76 divided by 28932.\nAnswer: -19\/7233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.3 - -89.2?\nAnswer: 88.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p - 41 = m, 6*p - 2*p + 16 = 4*m. Is 6 a factor of (-4)\/(-1 - 3\/p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 817 and 209.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 159716325 to the nearest integer?\nAnswer: 12638","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round -192968.399 to the nearest 10000.\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = -q**2 + 16*q - 9. Let t be z(9). Let x = t + -49. Let j(f) = f**3 - 4*f**2 - 5*f - 6. Calculate j(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from miklmlmmmkimmkmim. Give prob of picking 2 l.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -5128, -5141, -5154, -5167, -5180?\n\"Answer: -13*s - 5115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 56 is divided by 34.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put -822, 4, 0.7, -2\/5, 17 in ascending order.\nAnswer: -822, -2\/5, 0.7, 4, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u - 245 = -240. Which is the closest to u?  (a) 1\/4  (b) -1\/4  (c) 74  (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hkk. What is prob of sequence kk?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = -4*m. Let z(i) be the second derivative of -5*i**4\/12 + 25*i. Give z(t(l)).\nAnswer: -80*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z + 5*g + 0*g - 70 = 0, 0 = -4*z - 5*g + 60. Let m be 12\/(-1)*z\/(-30). Solve 4*q + 10 = 2*s, m*s = -4*q - q - 32 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -88 * 0.24\nAnswer: -21.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 6*w - 249 + 297 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = -4*k**2 + k. Let y(j) = 2*j**3 - 24*j**2 + 6*j - 755. What is -6*i(q) + y(q)?\nAnswer: 2*q**3 - 755","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 681 minutes after 10:57 AM?\nAnswer: 10:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*t + 31 = -17. Solve -15 = -o + t*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + sqrt(272) + sqrt(272)*2.\nAnswer: -4 + 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*l - l + 4*l)*(-2*l - 2*l + l)*(0 + 2 + 1) to j + p*l**2 + i*l and give p.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 47908419.\nAnswer: 3, 13, 433, 2837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5416\/(-72) + (140 + -133)*(-2)\/(-63).\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f = -3*g + 562, f + f + 186 = g. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 200 + -197. Suppose -j*m = -2*q - 304, -2*m + q + 233 = 31. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 35, 76, 143, 236, 355, 500, 671?\n\"Answer: 13*n**2 + 2*n + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 556 is divided by 168.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f + 55048 = 4*d, -1952*f = -1953*f + 3*d + 13754. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mmj when three letters picked without replacement from {m: 5, e: 2, o: 4, j: 2}.\nAnswer: 10\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.477 - 1.077. What is the second smallest value in t, 2\/17, -5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r - 4 = -84. Let d be (-92)\/r + 5\/(-20). Is (35\/(-3) - 1)*(d - -3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -97782 - 5.46.\nAnswer: -97787.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24*u - 49128 = -0*u. What is the thousands digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 4 - -13. What are the prime factors of g?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = -o**3 - 9*o**2 - 5*o - 31. Let l be z(-9). Solve -3*t - 8 + l = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 78*j - 82*j = -16 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17 = -82*y + 65*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:08 AM and 9:25 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-6)\/(-3) + 0 - 0. Let n(v) = v**2 + 2*v**2 - 4*v**y. Let q(f) = -5*f**2. Give n(q(d)).\nAnswer: -25*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 1, -28, 251 in increasing order.\nAnswer: -28, 1, 5, 251","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*u + 677 = 637. Suppose -5*y + 40 = -0*y. Put 5, -5, u, y in descending order.\nAnswer: y, 5, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1249*z - 1233*z - 1238*z + 6192*z - 1233*z - 1237*z.\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -19\/96 and 33\/339200.\nAnswer: 1017600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*l - 40 = -4*l. Let z be 8\/20 - 34\/l. Let v be 5 + (6 + z)*-1. Solve 3 = -v*w + 11 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -3319.523553 to the nearest 100.\nAnswer: -3300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -297718, -595531, -893344?\n\"Answer: -297813*d + 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v = -5*i + 33 - 21, -5*i - 3*v = 12. Put 0.4, -4\/7, i, 6\/7 in ascending order.\nAnswer: -4\/7, i, 0.4, 6\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g + 26 - 98 = 0. Let y be 3\/(-2)*(-168)\/g. Let l be y\/25 + 21\/(-35). Which is bigger: l or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = -30*n**2. Let i(b) = -254390*b. Give i(d(o)).\nAnswer: 7631700*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 990*-103\nAnswer: -101970","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.02 + -1.02. What is the closest to 2\/25 in 4, i, 2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-828)\/(-42)*1596\/171. Calculate the greatest common divisor of 15456 and k.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -173\/30 and 59\/61728.\nAnswer: 308640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = -3*p**2 + 3*p - 8. Give y(-5).\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = 2*c**2 + 3*c + 3. Let i be h(-3). Let d be (-1)\/(-2) - (-30)\/i. Suppose x + d*x - 360 = 0. Calculate the highest common factor of 10 and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = 5*a**2 - 7*a + 4. Let k(z) = -11*z**2 + 13*z - 9. Let u(i) = -4*k(i) - 9*n(i). Let o be u(8). Let t = 47 - o. Is 8 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = -16*c - 3. What is the hundreds digit of y(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 111032004 + -30?\nAnswer: 111031644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = -2619854 - 49425 - 840721 - 4*w. Let f be d(0). Round f to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 a and 1 y when two letters picked without replacement from yauffvvyyy?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = -1645 - 34*n**2 + 1645. Let b(o) = -2*o. What is b(d(h))?\nAnswer: 68*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1.01 + 0.9. Let v = y - -0.1097. Round v to 4 dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*u - 4*q - 38, q + 3*q + 32 = -2*u. Suppose -4*o = -6*o + 26. Let i(w) = 2*w**2 - 7*w - 6. Let a(t) = 4*t**2 - 15*t - 13. Give o*i(k) + u*a(k).\nAnswer: 2*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*((sqrt(1900) + (sqrt(1900) - (6*(1 + sqrt(1900)) - sqrt(1900))))*-5)**2.\nAnswer: 18000*sqrt(19) + 856800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*i**2 - i - 93079*i**3 - 2*i - 2 + 3*i**2 + 4.\nAnswer: -93079*i**3 - 2*i**2 - 3*i + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 21\/3*25\/25\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2041 and 377?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 787231 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from egggegg.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.001 in -4, 0, 2\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 + -3 + (-10 - -9).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -4, -1, 3, 0.3, 11, 452?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = i + 6. Suppose -6 = 5*w + 9. Calculate b(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r = -3*y + 113 - 290, -2*r = -4*y - 96. Let s be 511\/r - (-1)\/(-6). What is the greatest common divisor of s and 96?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 22189?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = 4*l**3 + 2*l**2 - 10*l - 11. Is s(12) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m + 18 = -4*m. Let n = -9472 + 9472. Sort -5, n, 5, m in ascending order.\nAnswer: m, -5, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -44*y + 68 = -108. Let h(q) = -q - 1. Let b be h(-6). Solve y*m + b*p + 17 + 10 = 0, 18 = -m - 5*p for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 2 - 2. What are the prime factors of q + 31 + (-18)\/(-6)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 5366143*b**3*f - 33*b**3 + 11703*b**2*f - b**2 - b*f - 11*b - f + 2 wrt b?\nAnswer: 32196858*f - 198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 9442 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 43 divide (-51)\/(-119)*32837 - 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 132 minutes before 4:26 AM?\nAnswer: 2:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d - 60 = -14*d. Factor 125*j**3 - 864*j**3 - 3456*j - d*j**5 + 7776*j**2 + 146*j**4 - 1061*j**3.\nAnswer: -2*j*(j - 12)**3*(2*j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 4 in 156, 1, 0.1, 1.3?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Determine r, given that 1\/5*r**3 + 1\/5*r**4 - 1\/5*r - 3\/5*r**2 + 2\/5 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -17*z + 20*z + 11*z**3 + 5*z wrt z.\nAnswer: 66*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 11 - 4 - (3 - 4) - (24 - 7).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = -v. Let u(r) = -1308*r. Determine u(j(p)).\nAnswer: 1308*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 20758 is divided by 27.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 77723?\nAnswer: 77723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l**3 + 105882*l**2 - 2539797*l + 12591390 = 0. Calculate l.\nAnswer: 7, 17, 35270","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 103160180?\nAnswer: 2, 5, 151, 34159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*i - 2*b + 31, 160*b + 51 = 163*b for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = -r**2 + r - 1. Let q(n) = -8*n**4 - 2*n**2 + 25*n - 2. Let j(d) = 2*g(d) - q(d). Find the second derivative of j(k) wrt k.\nAnswer: 96*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 274  (b) 3  (c) -11  (d) 4  (e) 1196  (f) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*o**3 + 23504*o**2 + 1376688*o.\nAnswer: -4*o*(o - 5934)*(o + 58)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 4897 - 4897. Solve s*g = 4*g + 20 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = -14*m**2 - 30*m + 42. Let h(g) = -8*g**2 - 14*g + 22. Let j(u) = 5*h(u) - 3*x(u). What is j(-10)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3 in 3\/94, -2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*a + o + 10 = -7*a, a = -5*o + 6 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -8*o - 4*o**4 + 2\/3*o**5 + 22\/3*o**3 + 16\/3 - 4\/3*o**2.\nAnswer: 2*(o - 2)**3*(o - 1)*(o + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -4890563741.7 and 0.068.\nAnswer: -4890563741.632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 4185 and 451515.\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d = w - 40, -2*d + 2 = -w + 32. Solve 4*b + 0*i - w = 5*i, 5*i = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 540 and 300?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Determine z so that -11*z**5\/4 + 17*z**4\/4 + 5*z**3\/4 - 17*z**2\/4 + 3*z\/2 = 0.\nAnswer: -1, 0, 6\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -37.54426 less than -2?\nAnswer: 35.54426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*u + 111281 = 111257 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.05 - -0.05. Let t be -2 + -1 + (-23)\/(-7). Let g = 7\/13 - 5\/13. Which is the nearest to 0?  (a) q  (b) g  (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 24251 is divided by 105?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ed when two letters picked without replacement from {o: 3, e: 1, d: 5, s: 1}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = 5*j**2 - 110*j + 7. Calculate n(22).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (23\/(-7705))\/(530\/2650)?\nAnswer: -1\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = i**3 + 132*i**2 + 352*i - 4925. What is q(-129)?\nAnswer: -410","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i = -2*m - 68, 3*m - 7*i + 107 = -2*i. Let d be m*(2 - 4) - 1. Suppose t + t = -j + 40, d = 5*t - 4*j. List the prime factors of t.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + (-1*(((sqrt(343)*-1 - sqrt(343)) + sqrt(343))*-2 - sqrt(343)) - -4*2*sqrt(343)*-2).\nAnswer: -119*sqrt(7) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-790 + 242 - 61)*(1 - 3 + 1)*(-4 - h + 4) to the form f*h + y and give f.\nAnswer: -609","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = 9*a**2 + 45*a + 804. What is the hundreds digit of p(-37)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 82346*s - 2*s**3 - 82346*s.\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 67 + -55. What is the remainder when g is divided by (-4)\/(-6) - 38\/(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 159582?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l = -l + 15. Suppose q = -2*m - 2*q + 10, l*m + 2 = 4*q. Suppose m*o = -0*o - 320000. What is o rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 14\/4*(-188)\/6251?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6960 = -2*h + 5*p, 51*p - 3469 = -h + 48*p. Calculate the highest common divisor of h and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 22266 to the power of 1\/2, to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) 3  (b) -1\/8  (c) 5  (d) 1  (e) 1.2  (f) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-570 + 185*b + 570)*(-14*b - 18*b + 15*b + (-3*b + 4*b - 2*b)*(-2 + 1 + 0)).\nAnswer: -2960*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 14359519?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 628?  (a) -2\/7  (b) 0.1  (c) 0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 3, -5, -1609682 in descending order.\nAnswer: 3, -1, -5, -1609682","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-9 + 10)*(19 + 1). Let o(t) = -t**2 + 23*t - 51. Determine o(r).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = g**2 - 18*g + 85. Let z(c) = 2*c**2 - 125*c - 316. Let o be z(65). Determine q(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = 25*h - 2. Let v(u) = -76*u + 6. Calculate -16*l(r) - 5*v(r).\nAnswer: -20*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hpuo when four letters picked without replacement from uxphxuxupppoxx?\nAnswer: 1\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 13cbd3 (base 16) to base 2.\nAnswer: 100111100101111010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -0.12423 from -26372377.\nAnswer: -26372376.87577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) be the first derivative of -b**4\/2 + b**3 + b**2 + 2*b + 294. Determine c(-2).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.015845 + 115090.984155. Let g = -115088.99999 + q. Let i = 2 - g. Round i to 5 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 84967488?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3 - (3 + -8)) + (-15 - -6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 499.012 - 499. Let a = -28 + 28.038. Let c = t + a. What is c rounded to 2 dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) be the first derivative of -8 + 2\/45*i**3 - 1\/5*i**2 + 4\/15*i. Factor n(z).\nAnswer: 2*(z - 2)*(z - 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = -3*t - 4*w, 0 = -3*t + w - 3 + 5. Let s(h) = -h**3 - 5*h**2 - 4*h + 2. Let u be s(-4). Sort t, u, 3.\nAnswer: t, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-4)\/(-6) - (-6)\/(-9). Suppose 2*v - v - 5 = 0. Let z = 7 - v. Put z, l, -4 in increasing order.\nAnswer: -4, l, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -28901458 to the nearest one million.\nAnswer: -29000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1.7 - 2. Let j be (4035\/100)\/((-4)\/(-10)). Let q = j - 101. Which is the third smallest value?  (a) 2\/5  (b) q  (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 81519547 to the power of 1\/5, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = 186*w + 7110. What is the remainder when u(-27) is divided by 123?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k - 97 = a, k - 3*a - 23 - 4 = 0. What is the remainder when 40 is divided by ((-12)\/2 - -3) + k?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*c - y - 0*y + 3, 2*c + 16 = -4*y. Suppose -c*s + 4*s = o - 5, o + 2*s - 17 = 0. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-8)\/(-2)*((-165)\/(-55))\/(2\/(-2)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 33375868 is divided by 40.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1238 = -19*r + 4905. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = 365*x**2 + 1123*x + 12. What is h(-3)?\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 4198416527 to the nearest integer?\nAnswer: 1613","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 29 + (-16 - -29 - 17) + -5?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = 1306*x**3 + 8*x**2 - 22*x - 2. What is the ten thousands digit of f(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -21*o**5 - 2697864*o**4 - 86648068905*o**3 + 24756811350*o**2 = 0. Calculate o.\nAnswer: -64235, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = 6*f**3 + 2*f**2 - 1. Let u be h(1). Suppose -5*g + 18 = -u. What is the highest common factor of 5 and g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) be the first derivative of 86 + 7\/5*q**5 - q**2 + 0*q**3 + 0*q**4 - 87*q. Find the first derivative of s(z) wrt z.\nAnswer: 28*z**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 274283525*i**2 + 17*i + 3125603.\nAnswer: 548567050","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = -l**2 - 3*l + 3. Let p(t) = 3*t - 2. Let w(r) = -2*g(r) - 3*p(r). Is w(11) 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 1110969?\nAnswer: 3, 23, 1789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round -412670 to the nearest 1000.\nAnswer: -413000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (0 - 1\/(-1))*0. Let y(a) be the third derivative of p*a + 1\/300*a**5 + 2\/15*a**3 - 3*a**2 + 0 + 1\/30*a**4. Find b such that y(b) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -7816 + 171869\/22. Let n = -97633227\/19481 + 35082\/7. Let r = n + 208737\/11132. What is the common denominator of h and r?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is next in 2566, 2567, 2568?\nAnswer: 2569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out -38403379557 - 0.8218.\nAnswer: -38403379557.8218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is v in 2*v**5\/5 + 14*v**4\/5 - 42*v**3\/5 - 38*v**2\/5 + 136*v\/5 - 72\/5 = 0?\nAnswer: -9, -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u\/(u\/u**(-16\/7)*u)*u\/(u*u*u**31*u*u))\/(u**(8\/7))**(-3\/4))**37 assuming u is positive.\nAnswer: u**(-9435\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 + 4 - ((4 - (10 - 3)) + -4).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 56 and 4?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = 8*c**3 - 2*c**2 - 2*c - 1. Let x = 192 - 193. Calculate l(x).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Total of 336696410122480 and 1.\nAnswer: 336696410122481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = -6*d**2 + 117*d + 7. What are the prime factors of x(14)?\nAnswer: 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -x - 3*x + 4*x + x**2 + 6*x - 2*x**4 + 2 to the form b*x**4 + t*x**3 + w*x + l + y*x**2 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u + 5*y - 101 = 0, 4*u - 466 = -3*y - 79. Suppose 2115 - 9075 = -29*q. Calculate the highest common divisor of u and q.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) be the first derivative of -3*z**2\/2 - 1. Let t(x) = -x**3 + 6*x**2 - 4*x + 3. Let i be t(5). Let h(d) = -d + 0*d - i + 8. Give b(h(r)).\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 538*y**2 - 2*y - 8568 wrt y?\nAnswer: 1076*y - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1625086 - -767736. Let j = t + 857398.9937. Let f = -49 + j. What is f rounded to three dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 4571, 4955, 5595, 6491?\n\"Answer: 128*a**2 + 4443","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 9.937 + -199.937. Which is the closest to 1?  (a) 0.5  (b) 1  (c) j  (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1580 or 201?\nAnswer: 201","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1029*f**4 - 13*f**3 + 554894*f**2 wrt f.\nAnswer: 24696*f - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -4 + -2. Let v = l + 8. Let d(x) = x**2 - 3*x + 2. Let o be d(2). Solve o = -h + 3 - v for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -1.22  (b) -10\/7603  (c) -2\/5  (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -47\/10550 and -137\/73850?\nAnswer: 73850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:27 AM and 2:04 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -60*a = -37*a + 87 + 258. Sort 3, a, -0.5 in ascending order.\nAnswer: a, -0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) be the third derivative of g**4\/6 - 11*g**3\/3 - 10*g**2. Let u = -121 + 139. Is 10 a factor of z(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 29178 is divided by 1716?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -5*g*t**2 + 6*g - 5*t**4 - 25 wrt t?\nAnswer: -10*g*t - 20*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 1e76a7 (base 16) in base 7?\nAnswer: 22653366","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -102258 divided by 3\nAnswer: -34086","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 821790186, 821790188, 821790190, 821790192?\nAnswer: 821790194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 157, 122, 57, -44, -187, -378, -623, -928?\nAnswer: -1299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 5302 (base 7) in base 6?\nAnswer: 12344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wktj when four letters picked without replacement from twtttwjhkk?\nAnswer: 1\/315","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 78 and 143.\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -236*w**5 + w**3 - 3*w + 82?\nAnswer: -4720*w**3 + 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -29 + 27. Let g = -198 - -2176\/11. Which is the third smallest value?  (a) p  (b) -5  (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 601174 and 8?\nAnswer: 2404696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = -6*h + 7. Let m(l) = -5*l. Let a(t) = t. Let i(y) = 6*a(y) + m(y). Give n(i(s)).\nAnswer: -6*s + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is (75\/(-45))\/(119\/(-102)*150\/(-280))?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from ckukukkcccu.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -490, -2023, -4564, -8107, -12646, -18175, -24688?\nAnswer: -32179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v + 1 = -4*m - 9, -16 = v - 5*m. What are the prime factors of 2*-10*3\/v?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*c - 4*m + 17 = 0, 45*c - 47*c + 5*m = 16 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) 9\/5  (b) 1\/4  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u\/u**1)**(2\/15)*(u*u\/u**3*u)**2 assuming u is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -568 + 841. Calculate the remainder when 828 is divided by g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -2 - -32?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -13, 0, 13, 26, 39?\n\"Answer: 13*u - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Add together 0.10687 and 89.\nAnswer: 89.10687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:45 PM and 2:08 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 44\/5 of a litre?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = -2*h**3 + 3*h**2 - 102*h - 12. Let l(y) = -y**2 - 3*y - 3. What is 4*l(q) - t(q)?\nAnswer: 2*q**3 - 7*q**2 + 90*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.2 + 0.3. Suppose -5*p - g - 28 = 0, -7*g - 1 = 2*p - 10*g. Sort p, v, -1 in decreasing order.\nAnswer: v, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 267 + -279. Let h(m) = m**3 + 19*m**2 + 71*m - 3. Does 9 divide h(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -366fa (base 16) to base 7.\nAnswer: -1616026","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 33142 (base 5) to base 2\nAnswer: 100011111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -475839*t**2 + 3330903*t - 210 = 0. What is t?\nAnswer: 10\/158613, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -4903, -9809, -14715, -19621, -24527?\n\"Answer: -4906*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3\/22?  (a) 0.2  (b) -2\/3  (c) 1\/6  (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -423 - -5502\/13. Let x = 1\/52 + u. Are x and 5 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find f, given that 0 + 3*f**5 + 4\/3*f - 5\/3*f**4 - 13\/3*f**3 + 5\/3*f**2 = 0.\nAnswer: -1, -4\/9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 2\/(-10)*(-20)\/8. Let a = 45\/2 - 139\/6. What is the closest to -1 in 2, v, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 10\/3, -4, 3, 42?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*o - 3*f - 45 = -2*o, -14*o + 25*f - 32 = -10*o + 115 for o.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/8 of a meter in millimeters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -97 + 103. Solve 2*k + v = 2 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = 5*d**2 - 11*d + 5. Let p(c) = 3*c**2 - 5*c + 2. Give -2*b(f) + 5*p(f).\nAnswer: 5*f**2 - 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 454592305?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -66*t + 21 + 108*t + 18 - 39 + 7*t**2.\nAnswer: 7*t**2 + 42*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = -10*s. Let h be m(-1). What is the highest common divisor of h and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 4, o: 3, l: 2, x: 8}. What is prob of picking 1 o and 1 n?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 594 times -3?\nAnswer: -1782","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) be the second derivative of 1\/6*k**3 - 1\/2*k**2 + 0 - k. What is i(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 222*u - 49 + 126*u + 48 to the form o + f*u and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 13743 is divided by 13739?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*l**2\/5 - 24*l - 333\/5.\nAnswer: -3*(l + 3)*(l + 37)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o = -o + 30. Solve u + 2*u = -3*v + o, -5*v - 22 = -3*u for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -14*g - 9*g + 5 - 956*g**4 + 947*g**4 wrt g.\nAnswer: -108*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -9, -1, -15, -0.3, 310, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) be the second derivative of -g**7\/28 - 7*g**6\/10 - 24*g**5\/5 - 59*g**4\/4 - 95*g**3\/4 - 21*g**2 - g + 1393. Solve r(y) = 0 for y.\nAnswer: -7, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 - 3 + 5)*(3*i - 3*i + 2*i) + 4 - 14*i + 12*i - 3*i - i - i - 6*i.\nAnswer: -15*i + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in one quarter of a tonne?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -823*x = -410*x + 2824*x - 135954 for x.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from yhhrhrhihyhhyhihihhh. Give prob of sequence yy.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round 45.6071 to 1 dp.\nAnswer: 45.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -39 + 52. Suppose 7*g = j*g. Suppose 2*v = 3*c - g*v - 8, 43 = 3*c + 5*v. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 513222517 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t - i = -371, 73 + 243 = 4*t - 4*i. Is 58 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 554\/22 - (-12)\/(-66). Suppose -11*b + t = -6*b. Solve 3*y - j + 6 = -1, -b*j = 3*y + 37 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y = -5*p + 48, 3*p - 54 = -y - 2*y. Calculate the remainder when 81 is divided by y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 93147194 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.1 and 266854.\nAnswer: -26685.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.8 - -4.2. Let h = -12 + 4. Let q be 4*-2*(-2)\/h. What is the nearest to q in 2, 1, o?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = -101*b - 8132. Let k be m(-81). Calculate the highest common factor of 1393 and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1*sqrt(120))\/sqrt(8))\/(sqrt(180) + sqrt(180)*-1 + sqrt(5))*-2.\nAnswer: -2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00012297 to 6 dps.\nAnswer: -0.000123","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -2*(4\/(-4))\/2. Let s(h) = -h - h**2 - q + 1 + 5 - 4*h. What is s(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 189 - -228. Let b = 419 - s. Calculate the highest common factor of b and 134.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -5*f*k**3 - 100*f + 2*k**3 - 182 wrt f.\nAnswer: -5*k**3 - 100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = 62*u + 4015. Calculate s(-64).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -0.2 times 1.545\nAnswer: -0.309","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Add together -419.7 and -2075.\nAnswer: -2494.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 44 and 484.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -97*c - 122287 + 465138 + 658189. What is the thousands digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = l**2 - 15*l - 10. Let s be a(16). Suppose 2*f = i + 1, 4*i + 2*f + 0*f - s = 0. Solve j - i = -0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 750 is divided by 88.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -443c + -2?\nAnswer: -4440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = a**3 - 11*a**2 + 31*a - 8. What is b(6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = 103*u - 15544. What is k(153)?\nAnswer: 215","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l = -8*m + 4*m + 181, 2*l + 120 = 2*m. Let p = 66 - l. What is the greatest common factor of 25 and p?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 39 in -0.1, -0.02, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -1\/52060 and -7\/1252180.\nAnswer: 23791420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 20518363 is divided by 72503?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*((sqrt(1584) + 1)*5)**2*-2.\nAnswer: -158500 - 2400*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6351 (base 8) to base 3.\nAnswer: 11112102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w**(-2\/7))**46)**(-47) assuming w is positive.\nAnswer: w**(4324\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 11386409 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = -g - 4. Let c be w(-4). Suppose 29 = 3*d + b, c = -4*d + 5*b + 7 - 0. Suppose 0*y + 4*y = d. Solve -v - 2*v = -y*f + 16, 0 = -3*f - 2*v - 2 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 830 is divided by (630\/(-45))\/(21\/(-78)).\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -85  (b) 0.069  (c) 2  (d) -1\/198\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = -5*v - 1. Let r be x(-1). Differentiate 4*j**r + 6 - 10*j**4 + 4*j**4 wrt j.\nAnswer: -8*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1 - 0.365917.\nAnswer: -1.365917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -1 + -2 - (-28)\/1. Suppose h = -5*t, 4*b + 0*t = -3*t + 37. Solve 5*x + b = -12 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -f - 5*m + 23 + 7, 2*f - 3*m = -5. Suppose -28 = -f*a - 4*h, 4*a = -h + 3*h + 12. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 34 + 4\/(1 + -5)*1. Suppose 2*x = -4*b - 16, 5*x = 5*b + x + y. Put b, 3, 2, 0 in ascending order.\nAnswer: b, 0, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 198.7036 centuries in months?\nAnswer: 238444.32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -4 + i - 14 + 14 + (-17*i - 12*i - 5*i)*(3 - 3 - 2)*(0 - 1 + 2) as j*i + y and give j.\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 25, 1.1, 0.4, 4\/3, 9?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is q in 16\/3*q - 2*q**3 - 1\/3*q**4 - 4 + q**2 = 0?\nAnswer: -6, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1774 is divided by 201.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = -214*a + 65. Let w(g) = -43*g + 13. Let q(j) = 2*o(j) - 11*w(j). Is q(6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*x = 3*w - 16, -1504*x = -1502*x - 5*w + 24 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -7584190*x**2 - 6312949*x.\nAnswer: -15168380","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.412 - -5.888. Is -2\/5 at least as big as g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1104*y - 1109*y + 2*f - 497 = -f, 3*y = 69*f - 567 for y.\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 126700941*g - 126700941*g + 1453*g**3.\nAnswer: 1453*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = -2*l - 3. Suppose 3*o + 5*h = 1 + 13, 3*o + 3*h = 12. Let v be ((-9)\/o - -1) + -1. Give r(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -40192695 to the nearest 1000000.\nAnswer: -40000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -2 - (-1)\/((-39)\/(-81)). Let m = -24 + 23. Is t greater than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 254 + -10. Let c = d - 172. Let z = -26 + c. What is the highest common divisor of z and 69?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:21 AM and 5:46 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 14 + -10. Suppose -h*l - 2*y = -16 - 2, 5*y = -l - 9. Let j(k) = k**3 - 7*k**2 + 8*k - 9. Let r be j(l). Are r and 2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 35 divided by 2162786?\nAnswer: 35\/2162786","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: ((-275)\/20)\/((-370)\/(-592))\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -201 + 12?\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2 and 92?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 14313 - 14313 - r.\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round -1.4765 to one decimal place.\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.35, -2, 64?\nAnswer: 64","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -909, -739, -569, -399?\nAnswer: -229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 11230 divided by -5.\nAnswer: -2246","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 17 and 24.\nAnswer: 408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-25)\/(-10)*(2 + 0). Suppose h*r + 72 = 8*r. Is r a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = q**3 + 3*q**2 - q - 2. Let n be j(-2). Let p = 204 - 196. Calculate the highest common divisor of n and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 6 in -24\/29, -1727, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*f + 3*f + 16 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 75 a factor of 1650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 1, -1079, 1819, -4\/3, 7, -3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = 5*m - 12. Let r = 5 - m. Suppose 26 = 3*z - r*z. What are the prime factors of z?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = -21*d**3 - 5*d**2 + 6. Let j(r) = -46*r**3 - 10*r**2 + 14. Calculate 2*j(l) - 5*x(l).\nAnswer: 13*l**3 + 5*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ddcp when four letters picked without replacement from pdcdcdc?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 40 = 3*o - 2*j, 2*o + 3*j - 25 = 6. Let b = -130 + 132. What is the highest common factor of o and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*h**2 + 10*h**2 - 2*h**2.\nAnswer: 5*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 126290469?\nAnswer: 3, 71, 673, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -7*t + 112. Let v be c(15). Solve -v*u + 12 = -4*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 56 is divided by 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 341569736*n**3 - 267*n + 377008 wrt n?\nAnswer: 2049418416*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 46, 86, 116, 130, 122?\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-3)\/5 - (-28)\/20. Which is the closest to -1?  (a) 0.1  (b) p  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 28*c**2 + 36?\nAnswer: 56*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1.1?  (a) 13\/6  (b) -2  (c) 1\/6  (d) -0.12  (e) -4\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 24257?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.5 - 784052147.8?\nAnswer: -784052148.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = -5*a + 12. Let w be i(5). Let y(d) be the second derivative of d**5\/20 - d**4\/2 - 4*d**3\/3 - 7*d**2\/2 + 3*d. Let o be y(7). Is o equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-6)\/3 - (-2 + -26). Let t be -1*6\/(-4)*j. Let d = -27 + t. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 145 - 144. Let q be 1 + (9 - 9) + -5*z. Sort 1, -3, 2, q in increasing order.\nAnswer: q, -3, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vvtvvvvvvvvv. Give prob of picking 2 v.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 32854 + 2176 - 4464 = -1054*t for t.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 80414 is divided by 80375.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(-2 + sqrt(3)) + -5 - (sqrt(5184) + (sqrt(5184) - -2*sqrt(5184)))\/sqrt(12).\nAnswer: -50*sqrt(3) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1737?\nAnswer: 3, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence iii when three letters picked without replacement from iiiieiiieieiiiii?\nAnswer: 143\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 minus -48762?\nAnswer: 48765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 743028 and 182?\nAnswer: 5201196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 23\/924 and -157\/770?\nAnswer: 4620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000030606 rounded to 7 decimal places?\nAnswer: -0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3\/10 in -20\/21, 3, 1, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 131388 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 15\/9*6\/5. Suppose 0 = j - 4*x - 23 + 11, -5*j = 5*x - 10. Solve 0*a - j*a = 4, -r*a = 2*b + 12 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0094721 to 3 dps.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express (59*f**2 - 11*f**2 - 3*f**2)*(-11 - 9 - 4 + (-4 + 0 + 2)*(11 - 16 - 12)) in the form q*f + h*f**2 + s and give h.\nAnswer: 450","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 149902523?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.024 greater than 41?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is (4 + 26\/(-6))\/((-2)\/2706) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 38656 + -2435.9086.\nAnswer: 36220.0914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = 15*p**2 - 5*p. Give q(-1).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 1893189 to the power of 1\/2, to the nearest integer?\nAnswer: 1376","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1184*k + 504 = 1160*k for k.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*k = 2*k + 36. Let r = k + 105. Let b = r - 59. Solve -4*i - i + b = 2*o, 2*o - 4 = i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -25377292 and 0.5.\nAnswer: -12688646","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"}
{"text":"Question: -0.3*0.263\nAnswer: -0.0789","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {u: 13, n: 3}. What is prob of sequence uunn?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 262*s**3 + 260*s**3 + 256*s**3 - 1452*s**3 + 260*s**3 + 147*s**3 + 259*s**3.\nAnswer: -8*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 - 3 = -4*u, 4*x - 14678 = 3*u. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k*(k\/(k*k*(k\/(k*k\/(k*k**(-8\/7))*k)*k)\/k*k))\/k)**48\/(k\/k**(6\/19)*k*k*k\/(k\/k**(-2\/5))*k) assuming k is positive.\nAnswer: k**(2376\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -142309 divided by 24?\nAnswer: -142309\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 2 + 0)*(93 - 93 + 14*a) - 1 + 2 + 5*a + 1.\nAnswer: 19*a + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/7, -4, -41, 275, -1, -0.3.\nAnswer: -41, -4, -1, -0.3, 2\/7, 275","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 78\/5 - 15. Let h = -2.923 + -0.077. Let r = -145\/9 + 49\/3. Which is the nearest to 1?  (a) j  (b) r  (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -13 + 19. Suppose o*c = 2*c. Which is greater: -7\/5 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1 + 2 - 5) + 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (8\/(-84)*-12)\/((-4)\/(-14)). Solve 3*p + 7 = -3*s + 25, 0 = -w*p + 3*s + 3 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 2\/41, 1\/6, 2\/17 in descending order.\nAnswer: 1\/6, 2\/17, 2\/41, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve t = -3*y + 3*t + 5, y + 3*t = -13 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (522*r**2 + 161*r**2 - 65*r**2 - 32*r**2 + 159*r**2)*(-6*r**2 + 6*r**3 + 6*r**2).\nAnswer: 4470*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.63617 - -0.43617. Suppose -3*t - 4*i = 0, -4*t + 6*i + 25 = 3*i. Which is the closest to x?  (a) 6\/7  (b) -1  (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23*m + 22*m + 2 = 0. Let h be (-16)\/(-20)*(-90)\/(-1). Suppose 0*k + h = 4*k. Solve 3*w - 2*t = -18 + 3, -m*w - k = -4*t for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3068*u - 5*y - 8 = -3073*u + 6140*u, 2*u - 1 = 5*y for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 276207, 552502, 828797, 1105092, 1381387?\nAnswer: 1657682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) be the third derivative of -7*l**5\/60 + 5*l**4\/24 + 8*l**2. Find the second derivative of u(g) wrt g.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = 28*b**2 - 1. Let u be q(-1). Suppose -u - 7 = 2*t. Is -18 less than or equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = d**3 + 4*d**2 - 14*d + 2. Let g be j(-6). What is the greatest common factor of g and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -258958 divided by -742.\nAnswer: 349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 124?  (a) -1\/12  (b) -0.3  (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4*15\/(-200))\/((-111)\/259)?\nAnswer: -7\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 176462 (base 8) to base 16.\nAnswer: fd32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i - y = -i + 9, -15 = 5*i + 5*y. Let l = i + 2. Let v = 37 - 33. Put v, l, 0 in descending order.\nAnswer: v, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-1)\/((-530)\/(-3614) + 2\/(-13))?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000240893 rounded to five dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = 0 - 2*o**2 + 7*o + 2*o**2 - 5 - o**2. Let v be k(5). Suppose -v*c = -0*c - 50. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -122*w**3 + 50*w**3 + 76*w**3.\nAnswer: 4*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = 7*s - 3*s - 12 + 4*s - 3*s. List the prime factors of o(5).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -7 + 12. Suppose -62 = -2*u - 3*r, -w*u = 3*r - 222 + 76. What is the remainder when 83 is divided by u?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = -168*a**2 + 2050. Let c(k) = -2*k. Determine q(c(s)).\nAnswer: -672*s**2 + 2050","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0.5  (b) 2\/3  (c) 0  (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 5\/4 of a kilometer?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.8 - -1.2. Let z = -69 + 66. Which is the nearest to -1?  (a) -4  (b) t  (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*z + 16 = l, -5*z - 37*l - 55362 = -55239 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (29\/(-87))\/(2\/30)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12\/14*-7 + 20855\/1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 6\/63307  (b) 11  (c) 4\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 3478 and 3?\nAnswer: 10434","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -53\/18773520 and 69\/16.\nAnswer: 18773520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {n: 3, c: 4}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 24677?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m + 48 = 152. Let g = 22 + m. Let x = g + 116. List the prime factors of x.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.5 - 0.9. Let f = 22 + -22.3. Let l = j - f. What is the biggest value in 0.4, 0.5, l?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*b - 10 = 3*w, -w + 9*w + 6 = 5*w + 3*b for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 q, 1 k, and 1 e when three letters picked without replacement from {q: 4, e: 1, o: 2, a: 4, j: 2, k: 1}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 41172653 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 divided by -175955?\nAnswer: -2\/175955","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((0 + 0 - 2)*(4*r - r - 5*r) + 2*r - r + r + 4 + 2*r - 4)*(151 + 177 - 90).\nAnswer: 1904*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1120 = 256*m - 428*m + 228*m for m.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1019493?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = x + 12. Let u be o(8). Find the first derivative of -591*a + 591*a + u - 81*a**2 wrt a.\nAnswer: -162*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 20\/63 and -25\/14.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort 155, 3, -4, 1 in increasing order.\nAnswer: -4, 1, 3, 155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 29 and 493.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 divided by -86313?\nAnswer: 2\/86313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -51*j - 3*i = -48*j + 10045794, -4*i - 10045792 = 3*j. Round j to the nearest 100000.\nAnswer: -3300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = 1. Let b(k) be the third derivative of -17*k**4\/12 + 34*k**3 - 5*k**2 - 530. Calculate -b(t) + 204*q(t).\nAnswer: 34*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 48674 to the nearest integer?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u + 3 = v + 10, -2*v + u = -21. Let c be ((-176)\/(-12))\/((-4)\/(-30)). Suppose c = s + 4*s. What is the remainder when s is divided by v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.077 and -10.4.\nAnswer: -0.8008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -d**3 - 3*d**2 - 9. Determine s(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1646, -3328, -6244, -10394, -15778?\nAnswer: -22396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*i + 10*i - 2*i)*(104 + 113 - 33).\nAnswer: 1840*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is -136 at most as big as -102?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 2\/13 - 19\/39. Let l = 0.2 + -0.4. Which is the nearest to -1?  (a) -2\/7  (b) l  (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -5\/1473 + 48689\/23568. Calculate the common denominator of 33\/(-6) - (0 + -1) and p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.21*0.041\nAnswer: -0.00861","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g = 3*t - 29, -62*g + 63*g - 9 = -t. Sort 6, t, 5.\nAnswer: 5, 6, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1710*g + 1470*g + 494*g.\nAnswer: 3674*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -23 + 12 + 11 - (-8 - 2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s*(s\/(s*(((s*s\/s**(-2\/9)*s*s*s)\/s)\/s)\/s)*s)\/s)\/(s*s\/(s\/s**(-2\/33))) assuming s is positive.\nAnswer: s**(-214\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 4336683 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1 - (15 - 1)) + (87 - (128 + -33)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -18388191*g**2 - 2*g + 11299856?\nAnswer: -36776382","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0055479813 to 6 dps.\nAnswer: -0.005548","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(sqrt(343) + 0 + sqrt(343) + 3)*4*-5.\nAnswer: -560*sqrt(7) - 120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 616 a factor of 79071209?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.013 + -2.113. Let u = 1.1 + f. Which is the nearest to u?  (a) -1\/6  (b) 1  (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -13 + (13 - 8) + 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -5  (b) -0.685  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -883 + 2313. Calculate the greatest common divisor of 26 and l.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -2 - -2.4. Suppose 5*k + 15 = 5*j, 3 = -4*j + 6*j - 5*k. What is the third biggest value in 2\/9, v, j, 0.5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 492867?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*l + 4*l + 2*l**3 + 0*l**3 wrt l.\nAnswer: 12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -88, -150, -204, -244, -264, -258, -220?\nAnswer: -144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**28\/x**(-3\/5)*x*x**5*x**(-13))**(-32) assuming x is positive.\nAnswer: x**(-3456\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Add together 60 and 10377495.\nAnswer: 10377555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 5106258607?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = 2*z**2 - 8*z + 17. Calculate the remainder when q(8) is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 2  (b) 435  (c) -2\/43  (d) 3  (e) -0.13  (f) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -9*i**4 + 656 + 1000 - 782*i + 74*i**3 + 782*i wrt i?\nAnswer: -36*i**3 + 222*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 656 and 64?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 22 + -12 + -4 + -23.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h - 462 = -0*h - g, -4*g - 8 = 0. What is the hundreds digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-17)\/(221\/104)*3\/((-72)\/51).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5 - 10*z**3 - 23*z**2 + 82*z**2 + 5*z**3.\nAnswer: -5*z**3 + 59*z**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k**2\/2 + 3208*k - 44961\/2 = 0. Calculate k.\nAnswer: -6423, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 618815?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -34541*c**3*t**2 + c**2*t + c**2 - 27*c*t**2 + 48*t**2 + 17 wrt c?\nAnswer: -207246*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand -6 + 6 + 27387*p**5 - 28785*p**5 + (1 - 4 + 5)*(-2*p**2 + 2*p**2 + 2*p**5).\nAnswer: -1394*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*n**4 + 860*n**3 + 44415*n**2 + 617320*n - 4307600.\nAnswer: 5*(n - 5)*(n + 44)**2*(n + 89)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 34199 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {w: 1, y: 1, r: 1, c: 1, d: 1, q: 2}. What is prob of sequence wqq?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6*9\/(-162) - (-186648)\/18.\nAnswer: 10369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.045506 and 77.\nAnswer: 3.503962","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1667 + -1544. Calculate the least common multiple of m and 24.\nAnswer: 984","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**(-30)\/i**(-5\/16))\/(i*i**18)**(-2\/89) assuming i is positive.\nAnswer: i**(-41667\/1424)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u - 1 = -65. Suppose -k = 4*x - 11, -2*k = -5*x - k + u. What is the units digit of 3*(1 - (-11)\/x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = 15*m**2 + 3 + 2*m**3 - m - m**3 - 9*m**2. Is f(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((b**(-3)\/b*b)\/((b\/b**4)\/b))\/((b**(2\/11)\/b)\/(b*b*(b\/((b*b**(1\/4))\/b))\/b)))**(-3\/28) assuming b is positive.\nAnswer: b**(-471\/1232)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express -r**3 + 95 - 200 + 90 as j*r**2 + p*r**3 + a + k*r and give a.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 1\/2, 51\/5, -21.04?\nAnswer: 51\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 e and 1 m when two letters picked without replacement from wtewwieeitwettem.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 2*p*s**3 + 4*p*s - 455*p - 58*s**4 wrt s.\nAnswer: 6*p*s**2 + 4*p - 232*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (14 - 2460\/175)\/((-1)\/7). What is the third smallest value in -12, -13, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -14\/135, 3, -548?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(32)\/(sqrt(32)\/sqrt(4)))\/(sqrt(12)\/(sqrt(30)\/sqrt(5))) - ((sqrt(96)*-3 + sqrt(96) - sqrt(96))\/sqrt(4))\/(2*sqrt(48)).\nAnswer: 7*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 0 divided by 246546\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p - 4 + 0 = q, 9 = 3*q - 4*p. Let i be (7 + -4)\/q + 30. Let z = -345 - -507. Calculate the greatest common factor of z and i.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = -o**3 + 19*o**2 - 19*o + 30. What is k(18)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 0.08, 0.3, 0.2, 1\/3, -0.1?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -6 + 2.5. Let n = 7 - u. Let o = n - 5. Round o to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -58711*g + 12400 wrt g?\nAnswer: -58711","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-260)\/(-6) + (-2)\/(-3). Let c = 47 - w. Suppose -2*h - 42 = -4*u, 2*u = -2*u + c*h + 37. Solve 4*s = 2*m - s + 8, 5*m + 4*s = u for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:37 PM and 5:40 AM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 5\/(40\/(-28)) + 520\/208\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hqhh when four letters picked without replacement from {h: 5, q: 13}.\nAnswer: 13\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put -9889, -3, 0 in descending order.\nAnswer: 0, -3, -9889","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Determine l so that 2*l**3\/5 - 4207236*l**2\/5 + 4207222*l\/5 + 25243404\/5 = 0.\nAnswer: -2, 3, 2103617","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2786 by 398.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3484970?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*g**2 - 30*g.\nAnswer: -2*g*(g + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*k**2 - 4*k**2 + 4*k**2)*(11 + 4 + 0 + 11 - 9).\nAnswer: -51*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -128242 rounded to the nearest 10000?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4527?\nAnswer: 3, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -613, -1128, -1643, -2158, -2673?\n\"Answer: -515*u - 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 13, 18, 27, 40, 57, 78?\n\"Answer: 2*p**2 - p + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 406 = -d + 3*q, -14*d + 1624 = -18*d + 3*q. Does 10 divide 2\/4*(-6 - d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = 3651 + v**2 - 3635 + 15*v + 0*v**2. Give f(-13).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 55496?\nAnswer: 2, 7, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = p**2. Let g(j) = 4*j - 86. Give i(g(s)).\nAnswer: 16*s**2 - 688*s + 7396","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jaj when three letters picked without replacement from {a: 1, i: 1, b: 7, j: 4}.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 160 divide 11593518?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-1 - (-3 - -2)) + 8. Suppose -10 - 6 = -p*h. Let j = 43 - 27. Calculate the least common multiple of j and h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -63*k - 5*r + 3619 = -62*k, 14499 = 4*k - 3*r. List the prime factors of k.\nAnswer: 2, 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h + h - v = 14, -4*v - 8 = 4*h. Suppose -2286039 = -4*l - h*l. Suppose i = -3*b - 1799995, -i + l = -5*b - 2673428. Round b to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -68 (base 14) to base 16.\nAnswer: -5c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2\/(-10)*7*2550\/(-2040)?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 775720 and 645.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = 7*z**2 - 33*z - 61. Let y(d) = -2*d**2 + 8*d + 13. Determine 2*b(r) + 9*y(r).\nAnswer: -4*r**2 + 6*r - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.1503 + -0.0703. Does b = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n\/(n**7*n)*n*n*n\/((n\/(n\/n**(-2\/19)))\/n*n))\/(n**0\/n)**(-1\/3)*(n**1)**(-23)*n\/n**(-3\/2)*n**(-2\/15) assuming n is positive.\nAnswer: n**(-14171\/570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 632625390 a multiple of 90?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 17163959.\nAnswer: 601, 28559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -133, -136, -149, -178, -229?\nAnswer: -308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17 = h + 4*l, -4*h = h - 3*l + 16. Let u = 8 + h. Let c = 834 - 822. Calculate the highest common factor of u and c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 43 + -20. Let a = 31 - q. What is the tens digit of -6*((2 - a) + -2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:00 PM and 9:16 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*u = 242913 - 242931, 5*r + 2*u + 42 = 0 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 1715.8527us in days?\nAnswer: 0.00000001985940625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 67 minutes before 10:32 PM?\nAnswer: 9:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = -2*z**2 + 2307*z + 4599. Determine l(-2).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(-1\/11))**(4\/7) assuming z is positive.\nAnswer: z**(-4\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -39*c = d - 34*c - 3, -2*c = 4*d - 12. Let v be (2\/(-4)*-4)\/(-5). Which is smaller: v or d?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 22.9 * -2.7\nAnswer: -61.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -242, 1597, 4662, 8953, 14470, 21213, 29182?\n\"Answer: 613*o**2 - 855","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -34033408.9 + 34061243.9043. Let s = -27840 + q. Let k = s + 5. What is k rounded to three decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.2 in 2, 7, 0.5038?\nAnswer: 0.5038","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Add together 24 and 213538.\nAnswer: 213562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2207953.\nAnswer: 11, 200723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 k and 2 y when three letters picked without replacement from {y: 8, k: 3, d: 6}?\nAnswer: 21\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1998674 is divided by 423.\nAnswer: 422","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = n**2 + 3*n + 4. Suppose -k - 14 = -3. Let y = k - -7. Determine j(y).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*g - 38 = -122*w + 127*w, 5*g - w = 2 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*t**3 + 158633*t**2 - 158633*t**2.\nAnswer: 3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m = -18 + 21. Solve 4*n + 3 = -2*x - m, -x + 5*n = 9 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -4 + 6. Suppose z*m - 27 = 7. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1.967 in -1, 1\/3, -3, -42.425?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = -s**3 + 4*s**2 + 11*s - 5. Let r be 10\/(-15)*(-45)\/6. Let h be v(r). Let j = h - 22. Calculate the remainder when 3 is divided by j.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-v**3 + 16*v**2 - 28*v**2 + 23*v**2)*(-2*v + 3*v - 3*v) to p*v**2 + j + m*v + i*v**3 + n*v**4 and give i.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000373946947 to 7 dps.\nAnswer: -0.0003739","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = 12*h**2 + 9*h + 8. Let n = 64 - 68. List the prime factors of v(n).\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*sqrt(70) - sqrt(70))*-4)\/(sqrt(1210)*-1).\nAnswer: 4*sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4 + 2)\/(1*(1 + 0)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -26884.4 - -6.4\nAnswer: -26878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 17\/2 of a hour?\nAnswer: 30600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Are 0.03 and -16 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 1298269408 divided by 4\nAnswer: 324567352","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) 3\/5  (b) 0  (c) -3\/5  (d) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*x = 15*o + 236 + 100, 91*o - 96*o = -5*x + 57 + 43 for o.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -18305 divided by 5\nAnswer: -3661","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 12\/25 of a microsecond in nanoseconds?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 (base 13) in base 14?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 28 and 1204.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = 2*j**2 + 27*j + 16. Let a be b(-13). Let i be a*(-1)\/((-9)\/3) - -48. What is the highest common divisor of 49 and i?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.9, -29, 44, -1, -15.\nAnswer: -29, -15, -1, 0.9, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is -1131740 > -1131740?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -589.9 + 590. What is the nearest to -0.06 in -1, -0.1, c?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 8859090?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {a: 1, b: 6, p: 4}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = -430*x + 2. Let n(p) = 1462*p. Calculate n(y(a)).\nAnswer: -628660*a + 2924","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 17 - 3. Let w = i - -13. Let q = 23 - w. Let h(y) = -y - 3. Calculate h(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/2 of a microgram in nanograms?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1585 is divided by 58.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -87 + 92. Suppose 4*i = -t - 117, 6*t + a*i + 358 = 3*t. Let s = 122 + t. What is the highest common divisor of 4 and s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -918 - (20\/(-25))\/(2\/5). Let q = -476 - l. List the prime factors of q.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*m**2 + m**2 + 2*m**2)*(5*m - 3*m + 0*m) + 4*m**3 - m**3 - 4*m**3 + 5*m**3 - 3*m**3 - m**3 - 2*m**3 - 2*m**3 + 3*m**3.\nAnswer: 5*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-66)\/88)\/(18\/16)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((w**0*w)\/w)**7)**(-18\/7)*(((w**6*w)\/w)\/w)\/(w*w**(1\/3))*(w**1)**(-40) assuming w is positive.\nAnswer: w**(-109\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 0.5470078 kilometers?\nAnswer: 54700.78","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express (4*q**2 - 3*q**2 + q**2)*(3219 + 162*q - 3219) as w*q + b*q**3 + a*q**2 + r and give b.\nAnswer: 324","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 100100011111001100 - 110101?\nAnswer: 100100011110010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:09 AM and 7:55 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*c - 10*c - o + 97, 5*o + 15 = 0. Let s(i) = -3*i**2 + 187*i - 415. Let l be s(60). Solve -4*d = 3*w + c - 2, -d = -4*w - l for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 4*a*q**3 + 3*a*q**2 + 64*a*q + 44013*a + q wrt q.\nAnswer: 12*a*q**2 + 6*a*q + 64*a + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3308?  (a) 1  (b) 0  (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0 - 87. Let d = -75 - h. Calculate the highest common divisor of d and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 30 - 16*b**3 - 32*b**3 + 2*b**2 - 32*b + 16*b + 17*b - 3*b**2 wrt b.\nAnswer: -288*b - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = -5*u + 55. Let w(i) = 3*i - 27. Let z(l) = -4*h(l) - 7*w(l). Let m(k) be the first derivative of -3*k**2\/2 - 191. Give z(m(a)).\nAnswer: 3*a - 31","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 13220563 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 46\/3 and -33\/917?\nAnswer: 2751","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k - 2*l + 2 = 4, 3*k = -2*l + 8. Calculate the smallest common multiple of (2 + 1)*8\/6 and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -313 and -67977.\nAnswer: -68290","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 9 + -3 + -2 - 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve r = -3*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-157 + 77 - 19 + 2*z)*(2*z - 2*z + 2*z**2).\nAnswer: 4*z**3 - 198*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -261*j = -258*j + 4*h - 15605, -j + 5159 = -4*h. Is 12 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -31 - ((10 - 158) + 38) - 1?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = 8*p**3 + p**2 + p + 1. Suppose 5*f - 65 = -3*r, 39 = 3*f - 4*r + 6*r. Suppose 4*v + 5 = f. Let z be -4*(-1)\/(-2 - v - 0). What is g(z)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = -3*b + 2. Let l be (-2)\/(-2) - (1 - -1). Let f(r) = 19*r - 18*r - 1 + 0. Let i(v) = l*g(v) - 2*f(v). Let j(u) = -u**2. Give j(i(h)).\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 1206950607 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = 4*o**2. Let f(u) = 8*u**2 + 24*u + 239. Let r(j) = 21*j**2 + 62*j + 623. Let c(x) = -31*f(x) + 12*r(x). Give c(z(m)).\nAnswer: 64*m**4 + 67","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (0 - (-28)\/(-12))*-3. What is the second derivative of -11*y + 8*y**2 + p*y - y**2 wrt y?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y\/y**(-3\/4)*y)\/y**2)\/(y**(-2\/7))**(20\/9) assuming y is positive.\nAnswer: y**(349\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-36)\/(-15))\/2*(-20)\/6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2391 + 40 + (-3)\/(3 - 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(7\/4)*((t*t**(12\/7)*t)\/t)\/t)\/((t*t*t*t\/(t\/((t*t**(-7))\/t)))\/t)**21 assuming t is positive.\nAnswer: t**(3037\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (4*g**3 + 7*g**3 + g**3)*(4*g - 4*g + 5*g) to r*g**2 + o*g**4 + h*g**3 + v*g + y and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -2361, 4, -7, 7, -3, -5 in descending order.\nAnswer: 7, 5, 4, -3, -5, -7, -2361","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -600 + 600. Suppose t = 402*d - 395*d - 651. Is d a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.33736 rounded to one dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4787713 is divided by 145082?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 23 divide 1564?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is -472 at most as big as -135553\/287?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2 - -2. Suppose p = u, g - 5*p - 8 = -3*g. Calculate the remainder when g is divided by 2\/1*(10 - 9).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-27)\/25 - (-146)\/1825. Put 8, -5, r, -3 in decreasing order.\nAnswer: 8, r, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*h**3 + 17 - 17 + (2 - 2 + h)*(2*h**2 - 3*h**2 + 2*h**2))*(-18*h**2 + 6*h**2 - 8*h**2).\nAnswer: 20*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00600711376 to 4 decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 17, 161, 417, 839, 1481, 2397, 3641?\nAnswer: 5267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = -j**3 + j**2 + 3*j - 2. Let d be m(2). Let q = -627.7 + 689. Let i = 61 - q. Which is bigger: i or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l - 4 = -6*l, 4*l - 4 = -3*q. Suppose 5*a - 1505005 = -5*z, z = 5*a - q*a - 1504999. Round a to the nearest 10000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 1  (b) 5  (c) 2  (d) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v = -391*t + 392*t - 172973, -3 = -t. What is the thousands digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 5*t**5\/6 - 114*t**4 + 13013*t**3\/6 + 23665*t**2 + 164896*t\/3 + 10064 = 0. What is t?\nAnswer: -4, -1\/5, 34, 111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is d in -11*d**2\/2 + 94*d - 17\/2 = 0?\nAnswer: 1\/11, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round -33.025905 to zero dps.\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o + o = -4. What is the common denominator of o\/(-1) - 170\/(-18) and -35\/11?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o = 2*y + 26, 6 = -y - y. Let a be (-6)\/(5 + (-26)\/o). Let m = 1 - 2. Put 2, a, m in increasing order.\nAnswer: m, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -16475575, -16475571, -16475565, -16475557, -16475547, -16475535, -16475521?\n\"Answer: c**2 + c - 16475577","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*w**2 - 2*w**2 + 5*w**2 + w**2 - 7*w**2.\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 149 not equal to 147?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 449146373 to the power of 1\/2, to the nearest integer?\nAnswer: 21193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 342 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.15, 4, 1\/2, 80?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Determine y so that -y**4\/7 - 6255*y**3\/7 + 6257*y**2\/7 + 6255*y\/7 - 6256\/7 = 0.\nAnswer: -6256, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4*x**2 + 184 - 184 + 240*x**2 to r + n*x + w*x**2 and give w.\nAnswer: 244","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c - 3*i = 2*i - 10, -i + 11 = 2*c. Calculate the greatest common divisor of c and 81.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -124684 = 3723*g + 31682 for g.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2262031, -4524062, -6786093?\nAnswer: -9048124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g**(-38)\/g**(4\/11))**(-1\/5))**(-2\/3) assuming g is positive.\nAnswer: g**(-844\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = -16*z**3 + 3*z - 2. Let p be q(1). Let i be 30\/p*(1 + 1). Let f be (0\/2)\/((-2)\/2). Sort f, i, 5 in decreasing order.\nAnswer: 5, f, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = k**2 + 45*k + 168. Let i be x(-4). Solve -i*m - 10 = -5*a - 4, 4*a - 8 = 4*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*d = -d + 4*x + 15, -3*d + 24 = -5*x. Suppose 3*f - d = 12. Solve 0 = f*g - 11 + 1 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q*q*q\/q**6*q)**(1\/62)\/(q\/(q**(-5)\/q)*q**(-2\/63)))**35 assuming q is positive.\nAnswer: q**(-68360\/279)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 78 and 25.\nAnswer: 1950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = 3*l**2 - 2*l + 2. Let a(q) = -q**2 + q. Let z(m) = a(m) + y(m). Let t = -10 + 15. Does 12 divide z(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 27934?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -1122110 (base 3) to base 15\nAnswer: -550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand 8*j**5 - 23*j**5 + 28*j**5 + 18*j**5 + (2*j - 10*j + 2*j)*(-3*j + 3*j + 2*j**4).\nAnswer: 19*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -232 - -927\/4. What is the smallest value in -41, 3, a?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/5?  (a) 1\/3  (b) 116  (c) -12  (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 36\/90 - (-62)\/120 and 59\/168?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*j + j - 2*i + 4 = 0, 0 = -3*i + 9. What is the second derivative of 7*k + k**2 - k - j*k**2 wrt k?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (3 - -1 - 4)\/(-1). Solve -4*o + 4*w - 8 = -2*o, o - w = g for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/2 in -1, 4, -0.08, -3\/2?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-2)\/4)\/(1\/(-6)). Suppose -3*c = s + 3, s - 3*c = -s + j. Suppose 5*z - 278 = -4*g, -4*z - g - 6 + 224 = s. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22 = -2*s - 2*y, 0 = -4*s + 3*y - 4*y + 47. Let w(j) = 154*j - 52*j + 23*j - s + 207*j. Let k be w(-4). Round k to the nearest 100.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 13, n: 2, d: 3}. What is prob of sequence dd?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -434488, -1737896, -3910244, -6951532, -10861760?\nAnswer: -15640928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -153 + 367. Suppose i - s = -61. Is 11 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 16 + -8. Let u = 7 + 0.7. Let h = r - u. Which is the smallest value?  (a) 5  (b) h  (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 2682 and 1192.\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 1\/10 of a centimeter?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) be the third derivative of -o**6\/24 + 16*o**5 + 965*o**4\/24 + 17*o**2 - 106*o. Factor h(z).\nAnswer: -5*z*(z - 193)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = -2*c**2 + 7*c. Let t(w) be the first derivative of -w**2\/2 + 1. Let r be ((-2)\/(-4))\/(0 - 1\/(-8)). Give r*t(y) + a(y).\nAnswer: -2*y**2 + 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = 50358*y. Let q(u) = 19*u**2. Determine q(j(z)).\nAnswer: 48182635116*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1 or -2\/22837?\nAnswer: -2\/22837","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2 - (-29)\/4)\/((-33)\/(-44)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/4 in 3\/7, 1357, 0.01, 0.529?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*z**2 + 1 + z - z**2 + 3*z**2.\nAnswer: 4*z**2 + z + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -90.877 + 1.4.\nAnswer: -89.477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 128.6439944 + -21.9821214. Let u = 608.662339 - v. Let g = u - 502. Round g to 4 decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 divided by 135932?\nAnswer: 5\/135932","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 2527807 and -0.3?\nAnswer: -758342.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -115, -475, -1081, -1939, -3055, -4435, -6085, -8011?\nAnswer: -10219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 13*i**2*y**2 - 421*i**2*y + 2*i*y - 4*i - 18117*y**2 wrt i.\nAnswer: 26*i*y**2 - 842*i*y + 2*y - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = -221*b + 227*b - 3*b**2 - 2*b**2 + b**3 - 5. Let g be -5*(-2)\/10*4. What is o(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -476288 = -60*m - 102*m + 34*m. What are the prime factors of m?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 1\/(-2) - 10\/(-4). Solve 3*z - k + 8 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = 2*b + 35. Let x be j(-17). What is the units digit of x*(-3 + 28) + -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -454 (base 9) to base 7.\nAnswer: -1042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 105666412 or 105666415?\nAnswer: 105666415","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = -i**2 - 25*i + 267. Let v be u(-33). Solve -3*z = 15, -2*z - 4 = 3*f - v for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -16798 + 16797. Put 1, l, -9, -597 in ascending order.\nAnswer: -597, -9, l, 1","meta":{"dup_signals":{},"source":"comparison__sort_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: Simplify (k\/(k**(-1\/6)*k))**(-26) assuming k is positive.\nAnswer: k**(-13\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f = 3, 3*f = 3*l + 7*f - 19. Let w(g) = 4 - g**2 + 1 - 4*g + 6*g. Give w(l).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from jwzwqox. What is prob of sequence zjq?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 35952, 71902, 107854, 143808, 179764, 215722?\nAnswer: 251682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*m = -16*m - 33*m + 988 for m.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x + 1 + 7 = 0. Let u be (-3)\/x*(-8)\/2. Suppose -u*c = 2*c - 35. What are the prime factors of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 2 - 3. Let l = n + 7. Suppose -9*g - 204 = -249. Which is smaller: g or l?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -22*b + 3*b**2 - 270 - 261 + 531 - b.\nAnswer: 3*b**2 - 23*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 12 + 11 + 4 + -31 - -30.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-16 - -6) + 7 + -3?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 32745  (b) -4  (c) 22  (d) 1\/8  (e) 5  (f) 1  (g) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -14 (base 5) in base 6?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 39 divide 793?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -7\/2329 and 99\/3562.\nAnswer: 60554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1223 - 135 = 272*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) be the first derivative of -u**4\/4 - 4*u**3 - 10*u**2 + 3*u + 1641. Give y(-10).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = 4. Let q(f) = -f + 3. Let v(z) = 2*n(z) - 4*q(z). Let b be v(3). Suppose 0 = -0*g + 4*g - b. Solve 0 = -g*a + 4*a + 2 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 1, d: 3, q: 1, o: 3, s: 3, p: 3}. What is prob of picking 2 p?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 95*v + 194*v + 50*v.\nAnswer: 339*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.3 in -0.1, 294, 0.5, 653, 3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = -2*d**2 + 184*d + 6. What is r(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/4, -49, -2\/23, -0.096, -14.\nAnswer: -49, -14, -0.096, -2\/23, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -718.5 - -718. What is the smallest value in 0.6, -14, f?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-220)\/40)\/((-1474)\/16884)?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 18637 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 28 - 26. Suppose 3*y - 10 = -o*y. Suppose 0*j = y*j - 4. What is the greatest common factor of j and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1043478026 a multiple of 162?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a - 3*c + 13 + 53 = 0, -2*c = a - 16. Let o(k) = -a*k + 6*k + 4*k. Let n(q) = -3*q. Determine o(n(u)).\nAnswer: 6*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 81215 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 15279007 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort 128, 1, -3 in increasing order.\nAnswer: -3, 1, 128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 58610317 is divided by 34?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 55453 is divided by 54.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y*y**(2\/25))**(-3\/7) assuming y is positive.\nAnswer: y**(-81\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 3\/12 + 24\/(-32). Let x = -0.01 - 2.99. Let f = -3 - -3.1. What is the nearest to f in x, -3\/7, d?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = 13*k**2 - k**2 + 3*k**2. Let m(g) = -g**2. Calculate m(q(s)).\nAnswer: -225*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 15 and 1110?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Work out 124570279 + -1.\nAnswer: 124570278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 56 a factor of 243\/(-486) + (-6374)\/8*-2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 702 minutes after 4:14 AM?\nAnswer: 3:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-z + 2*z + z + (32 + 12 + 15)*(-2*z - z - 2*z)*(3 - 1 - 4))*(3*z - z + z) to the form t + f*z**2 + j*z and give f.\nAnswer: 1776","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(4\/7))**(7\/4) assuming k is positive.\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = 26*y - 24. Let r(c) = 13*c - 12. Let n(q) = 11*r(q) - 6*v(q). Let p(i) = 6*i - 6. Let l(a) = -2*n(a) - 5*p(a). Differentiate l(w) wrt w.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u - 1 = -10. Solve 2*g**2 + 16*g**4 + 5*g**5 + u*g**3 - 7*g**4 + 3*g**4 = 0 for g.\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -3.515161742 to two decimal places.\nAnswer: -3.52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*z**3 + 40*z**3 - 16*z**3 + (-z - z + 3*z)*(-z**2 + 2*z**2 + z**2) + 5*z**2 + z**3 - 5*z**2)*(1 + 0*z - 4*z + 0*z).\nAnswer: -84*z**4 + 21*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 620?\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.15 times 44.15?\nAnswer: -6.6225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -23\/52920 and 181\/15288?\nAnswer: 687960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -26 divided by 13887.\nAnswer: -26\/13887","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in 0.2, 2\/3, -11?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 19105?\nAnswer: 5, 3821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 108780 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 200476447 - 2?\nAnswer: 200476445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 302 - 487. Let j = a - -185.4. Sort j, 1.8, -3 in increasing order.\nAnswer: -3, j, 1.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1551717799 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -3314\/9 - -366. Find the common denominator of 4\/3 and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 48732 and 1834?\nAnswer: 341124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 17571 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -30*k - 117*k = 119 - 3353 for k.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = c**3 + 9*c**2 + 2*c + 12. Let r be w(-10). Let s = r - -198. Calculate the greatest common factor of s and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = -6*h**3 - 20*h + 235. Let o(c) = 2*c**3 + 7*c - 78. Determine 17*o(p) + 6*x(p).\nAnswer: -2*p**3 - p + 84","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k - 3*k - 5 = 0. Let m = 1.6 - -2.4. Let f = -14 - -15. What is the nearest to f in -2\/19, k, m?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -99\/40 and 1\/6*(-2190)\/40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -k + 9*k - 4*k + (5*k - k - 2*k)*(1 + 0 + 2) - 2 + 2 - k + 2*k + 4*k - 4*k.\nAnswer: 11*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*h - 2*h - 5*f + 5, 2*h = 3*f + 27. Let b be 90\/(-27)*h\/(-4). Suppose 5*o = 27*o + 88. Sort 2.4, b, o in decreasing order.\nAnswer: b, 2.4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -5 - 1d94cd?\nAnswer: -1d94d4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 71\/5 of a millimeter in micrometers?\nAnswer: 14200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4483*i**3 - 6 + 6 - 1656*i**3.\nAnswer: -6139*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1984\/(-280) + (18 - 11))*7?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 7 - 7 - 3*1. Let x be i\/(3\/12*-2). What is the highest common factor of x and 48?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*q**2 - 2*q**2 - 11*q**2 + 2*q**2.\nAnswer: -8*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is (-65)\/5 + 12 - (-3 - 24\/(-14))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = v**2 - 75*v - 1036. Calculate r(89).\nAnswer: 210","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b - 4*h = 353, -5*h + 238 = 2*b + 18. Calculate the highest common factor of b and 2645.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2288101 * 91\nAnswer: -208217191","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 184.3 times 0.034?\nAnswer: 6.2662","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: (-6)\/4*-1*9\/27\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0018395 to 5 decimal places.\nAnswer: -0.00184","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) be the third derivative of -857*f**7\/42 + 461*f**5\/10 - 29*f**2 + 3*f + 12. Find the third derivative of u(n) wrt n.\nAnswer: -102840*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 656238112.\nAnswer: 2, 19, 1079339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert -5808 (base 15) to base 12.\nAnswer: -a98b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -52, -102, -152, -202?\nAnswer: -252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 36086957 and 218.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Work out -13202 - -394.\nAnswer: -12808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -156 = 2*x - q, -3*x - 234 = -10*q + 5*q. Let z = x + 75. Let l = z - -7. Solve 4 = -2*h - 4*b, l*h - 5*b = -b + 28 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -8 + -3 + 0 + 5.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -243*n = -251*n - 24 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -66 + 202\/3. Put 2, -2\/27, -0.5, k in descending order.\nAnswer: 2, k, -2\/27, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d + 3*t = 6*t + 36, 3*d - 3*t = 108. Is d a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -15  (b) -5\/3  (c) 0.2  (d) -1  (e) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r - 139 + 7 = -2*f, 5*r - 5*f = 220. What is the greatest common divisor of r and 374?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1252)\/313*(1421\/(-420))\/29?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 81973.\nAnswer: 81973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 3, p: 2}. What is prob of picking 3 p?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (12 - -9) + -9 + -21?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 16284473 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 226.2574 years in months?\nAnswer: 2715.0888","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1 + -6. Let c(p) = 5*p - 14. Let w(y) = -4*y + 13. Let h(v) = 5*c(v) + 6*w(v). Calculate the remainder when 1 is divided by h(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 3 + ((-259)\/(-9) - (-6)\/27). Suppose -3*y - 2*y + 3*i + g = 0, 3*y + 3*i = 0. Differentiate 166*o**3 - 85*o**3 - 82*o**3 - y - o wrt o.\nAnswer: -3*o**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 23567?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 18191 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -45 - -0.048.\nAnswer: -44.952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-237*c**4 + 52*c - 1 - 53*c - 23*c**4)*(2 - 1 - 5).\nAnswer: 1040*c**4 + 4*c + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 338.4 - 338.7474. Let o = p + 0.409. What is o rounded to 3 dps?\nAnswer: 0.062","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = w**2 - 37*w + 329. Determine h(15).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ffeeffffffeeeefffexf. Give prob of sequence xe.\nAnswer: 7\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*b**3 + 51*b - 22*b - 30*b - 13*b**3 to the form o*b + p*b**3 + r + k*b**2 and give p.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w = -2*o + 3*w + 7, -3*w = o. Suppose -160 = -o*d - d. Suppose 4*p - d = 120. What is the greatest common divisor of p and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = 5*k**2 - 14*k + 27. Let o(z) = -2*z**2 + 7*z - 13. Let g(r) = -3*i(r) - 7*o(r). Suppose f + 63 = -6*f. Calculate g(f).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(7\/6)\/(g*g*g**(-8)))\/((g*(g\/((g**(10\/11)\/g)\/g))\/g*g)\/(g*g**9)) assuming g is positive.\nAnswer: g**(929\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 3316 divided by 8\nAnswer: 829\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = -313*g - 13. Let x be k(9). Let m = x + 56613\/20. What is the common denominator of m and 113\/14?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -107\/456 and 23\/798?\nAnswer: 3192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 56, 480, 1264, 2408, 3912, 5776?\n\"Answer: 180*y**2 - 116*y - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*3*sqrt(2299)*2)**2 - (-6*sqrt(57)*1)\/(sqrt(9)\/sqrt(3)*-3).\nAnswer: -2*sqrt(19) + 744876","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*v + 10 = -4*i - 2*i + 11*i + 3*v, -14*v = -70 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve k + 5*z + 22 = 0, 2*k = 5*z - 10*z - 24 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-12)\/15)\/(4\/(-10)). Let k(w) = -5*w**3 - 2*w**2 + 1. Let m be k(-2). Let u = m + -23. Solve -u = 4*f + y for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4b8 (base 16) in base 3?\nAnswer: -1122202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28 = -3*q + 2*a, 0 = -2*q + 30*a - 32*a + 12. What is the highest common divisor of q and 512?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1154990?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = 76*c + 57. Let p be r(6). What is p rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = 2*n + 1. Let z be (-3 + 0)\/(n\/(-2)). Let y = 2 - z. Solve 2*a = 5*x - 24, y*a + 4*x + 12 = 5*x for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (14\/(-12))\/(10\/((-1540)\/(-539))).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -6.2 + 7. Let l = 6 + -9. Let g(f) = 8*f - 4. Let y be g(0). Put y, l, q in increasing order.\nAnswer: y, l, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 56*z**2 + 57*z**2 + 28*z**2 to the form s + a*z**2 + n*z and give a.\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -4 + -7 + 14 + (-707)\/3. Let o = z + 234. Factor -4\/3*c**2 - 16\/3*c + o*c**3 + 16\/3.\nAnswer: 4*(c - 2)*(c - 1)*(c + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 82854260?\nAnswer: 2, 5, 17, 197, 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 213?\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) be the first derivative of -3*b**7\/7 - b**4\/4 + 47*b**3\/3 - 3. Find the third derivative of u(t) wrt t.\nAnswer: -360*t**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r = -4*r - 8. Let j be (19 - 4)\/(-2 - -1). Let q = j + 29\/2. Is q at most r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 983719\/94 - 16780897\/423. Let w = q + 29214. Calculate the common denominator of ((30\/32 - 2) + 1)*42 and w.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 5668?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/4, -0.4, -2\/17 in descending order.\nAnswer: -2\/17, -1\/4, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o + 40 = -2*u + 8, 0 = -5*u + 4*o - 35. Let r(p) = p + 23. Let z(g) = 35*g**3 + g**2 - 2*g + 1. Calculate the remainder when z(1) is divided by r(u).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = b**3 - 2*b**2 + 3*b - 1. Let d be v(2). Let h = 10 + -2. Let o = h - 4. Are d and o unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*y - 3*v = 2*y, 0 = 2*y + 2*v. Let a be 0 + -1 + 0 + 5. Suppose -x + 2*x + a = y. Let t(f) = f**3 + 5*f**2 + 2*f - 1. Determine t(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1713 and 6?\nAnswer: 3426","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 86 and 11051?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -6c - 4a0?\nAnswer: -53c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify j\/j**10*j*j*j**(2\/11)*j*(j**(-12)\/j*j)\/(j*j*(j\/(j\/(j\/(j*((j*j\/(j\/(j*j*j*(j*(j**(-4\/7)\/j)\/j*j)\/j)))\/j)\/j))))\/j) assuming j is positive.\nAnswer: j**(-1416\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5 + 7 + -13 + 11.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Do -37555154 and -37555153 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = -14*n**3 - n**2 - 2. Let b(a) = 22*a**3 + 2*a**2 + 3. Let u(z) = -5*b(z) - 8*w(z). Determine u(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine u so that 2*u**4 + 38*u**3 - 126*u**2 + 130*u - 44 = 0.\nAnswer: -22, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 32 - 54. Put b, 5, 2 in descending order.\nAnswer: 5, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -67\/14967351 and 23\/1348410.\nAnswer: 149673510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = -s**2 + 16*s + 7. Let i be f(13). Calculate the highest common factor of i and 115.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-9880)\/(-95))\/4 + 70 + 0.\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2154325019.\nAnswer: 7, 11, 1031, 2467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.046, 2\/3, 0.2, -1 in decreasing order.\nAnswer: 2\/3, 0.2, -0.046, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 112 and 2198.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 12440 and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = l**2 - l - 31. Let i(u) = -11*u**2. Give j(i(h)).\nAnswer: 121*h**4 + 11*h**2 - 31","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is (60\/(-48)*6)\/(3\/(-2))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l = 5*l - 8. Solve -5*m = l + 3 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 9 + -4 + -3 - (5 + -1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 2601 (base 8) to base 7\nAnswer: 4052","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -2 + 4. Let b = 4695 + -51687\/11. Calculate the common denominator of ((-1)\/(-2))\/(s\/15) and b.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c\/c**0)\/c)\/(c\/c**(6\/11))*(c**0\/c*c)**(-13) assuming c is positive.\nAnswer: c**(-5\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express (-5 - 15*d + 5)*(-3*d**2 - 4*d**2 + 3*d**2)*(-6 + 1 + 1) as t*d + v*d**2 + a*d**3 + u and give a.\nAnswer: -240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 863784 at most -20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 106304048 to the power of 1\/2, to the nearest integer?\nAnswer: 10310","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = f**2 + 1. Let t(u) = 4*u**2 + 5*u + 6. Let a be 1\/(-4) + 6\/(-8). Let i(h) = a*t(h) + 6*v(h). What is the second derivative of i(m) wrt m?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from nwpqwnnwnnnqpxnnnwn. Give prob of sequence pxqp.\nAnswer: 1\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*(sqrt(108) + sqrt(108) + -3*(sqrt(108)*-2 - sqrt(108)))\/sqrt(4))\/((sqrt(27) - -1*sqrt(1323))\/(sqrt(24)\/(sqrt(24)\/sqrt(3))))*5.\nAnswer: -165*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 0.3*13.23\nAnswer: 3.969","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/(-12)*0\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide -374074 by -9.\nAnswer: 374074\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = -3*v**2 - 11*v - 3. Let q(i) = -7*i**2 - 23*i - 6. Let x(y) = -9*k(y) + 4*q(y). Suppose 2*l = -2*l + 24. Determine x(l).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.1 + -0.1. Let a = -31.284 - -31. Let c = -0.016 + a. What is the smallest value in -4, p, c?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 166 + 546 = -254*r + 76*r. Put 3, -1, 42, r in ascending order.\nAnswer: r, -1, 3, 42","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is b (base 16) in base 10?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -44 in -0.8, -4, 0.3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 723*z**2 + 67*z**2 + 268*z**2 + 542*z**2 + 5*z.\nAnswer: 1600*z**2 + 5*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4 + 0*j**2 - 2*j**2 + 15.\nAnswer: -2*j**2 + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*w**2 + 5*w**2 + 35*w**3 - w**2.\nAnswer: 35*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 135025 - -20?\nAnswer: 135045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 2360445 and 54447598.\nAnswer: 816713970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m - 4*c - 19944000 = -c, -5*c = -2*m - 19944000. What is m rounded to the nearest one hundred thousand?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*4*(sqrt(99)\/(6*sqrt(36)\/sqrt(4) - sqrt(9)) + 1).\nAnswer: -4 - 4*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many weeks are there in 1132930.26 seconds?\nAnswer: 1.87323125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1136 + -1135. Solve -5*i + 14 = -3*u, 3*i - g = -u - i for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = -z**2 - 158*z - 638. Calculate b(-154).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) be the second derivative of k**4\/12 + k**3 + 5*k**2 + 31*k. Let c be q(-4). Suppose 0 = -15*n + c*n + 7449. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w = k + 65, 0 = 5*k - 2*k + 4*w + 216. Let j = -129 + 341. Let u = j + k. Calculate the highest common divisor of u and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a**4 + 95*a**3 - 267*a**2 - 823*a - 460 = 0. Calculate a.\nAnswer: -1, 5, 92","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2069*i - 995*i + 10422 = 87022 for i.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -8352451188 - 3?\nAnswer: -8352451191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.3?  (a) 0.4  (b) 186  (c) -1  (d) 52  (e) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 232, 233, 236, 241, 248, 257?\nAnswer: 268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -27  (b) 3\/2  (c) 3282  (d) -2\/33\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*v + 42 = 5*n, 5*n + v + 733 - 739 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 362 + -6156\/17. Which is the nearest to 0.1?  (a) y  (b) 2\/23  (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 5  (b) 3496  (c) 0.5  (d) 826  (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 4971, 4951, 4903, 4815, 4675?\n\"Answer: -2*l**3 - 2*l**2 + 4975","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 606*u**2 + 2*u + 3*u - 5*u + 603*u**2 - 1896*u**2 + 688*u**2.\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = -2*w - x + 1, 0 = 5*w - 5*x - 5. Let h = 3 + -2.9. Which is the closest to w?  (a) h  (b) 2\/7  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -5 + 7. Let t(a) = -a**3 - 40*a**2 - 352*a - 23. Let q be t(-27). Find the first derivative of -13 + 6*s - q*s + 12*s**3 - x*s wrt s.\nAnswer: 36*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 31726723997 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14 + 26 = 4*k. Let a be -2 + (-7)\/4 - (0 - k). Suppose 0 = -5*x - 3*s, x = -2*x - 2*s + 1. What is the biggest value in 3\/5, x, a?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 698261099 to the power of 1\/2, to the nearest integer?\nAnswer: 26425","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 735 = -k + 2144. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 82179905 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) be the second derivative of -n**7\/1050 + n**5\/150 - n**3\/30 + 4*n**2 + 5*n. Let k(j) be the first derivative of o(j). Factor k(y).\nAnswer: -(y - 1)**2*(y + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) be the first derivative of -1528*h**7\/7 + 1958*h**3\/3 - 1381. What is the third derivative of a(t) wrt t?\nAnswer: -183360*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 23282760 and 720.\nAnswer: 139696560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -138545 + 1477661.9.\nAnswer: 1339116.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 13148 - 14626.682. Let k = v - -1480. Round k to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 23c530 (base 13) to base 10.\nAnswer: 855517","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 78229 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 116988 and 84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -2\/5 or -15530410?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -5.5722 plus -580?\nAnswer: -585.5722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = 2*s - 6. Let w = 14 + -17. Let d = 6 + w. Let l be z(d). Solve l = 5*b + 3*k - 25, 0*k = -2*b + 4*k - 16 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (33171 - 3809 + 12155 - 3828 + 9005)*(-b + 2 - 2) as c*b + t and give c.\nAnswer: -46694","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 78 + -75. Suppose 5*o + 5*y = 442 + 553, -5*o + i*y = -971. Is o a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((k*k*k\/(k*k**6)*k)\/k)\/(k\/(k**(-2\/25)*k*k*k)))**(24\/7)\/(k*k*k**(-7)*k**7\/k*(k\/(k**(1\/3)\/k))\/(k\/((k\/k**(-6\/11))\/k))) assuming k is positive.\nAnswer: k**(-53959\/5775)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 41381 - 41468.444. Let c = x - -87. What is c rounded to 2 decimal places?\nAnswer: -0.44","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = -3*q + 4*q + 1 + 3*q - q. Let m be x(5). Suppose 2*t + m = 3*t. What is the highest common factor of t and 144?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3\/2?  (a) -0.1  (b) -1  (c) -0.2  (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1419620958 and 999.\nAnswer: 999","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put 14, -0.374, -19.68 in decreasing order.\nAnswer: 14, -0.374, -19.68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -48, 2\/3, 103, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 56*x = 53*x - 21, -344 = 3*v + 50*x for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -6 - cbaa3?\nAnswer: -cbaa9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -32 + 152 = 24*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2084771660?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = b + 26. Let g be x(6). Calculate the greatest common factor of g and 56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 126 minutes after 4:22 PM?\nAnswer: 6:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k + 23 = 5*v, 9*k + 26 = 13*k + 2*v. Solve 21 = -k*x + 21 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2366 is divided by 2356?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(-2))**(-31\/2) assuming w is positive.\nAnswer: w**31","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -16*x - 8*x + 31*x - 8*x - 90*x**2 + 7*x**3 - 83*x**2 to the form s*x**3 + g*x + a + o*x**2 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = 4*c**2 - 2*c - 9. Let a = 0 + -3. What is the tens digit of u(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*v - 176 = 4*v. Let g = v - -84. Is g a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 328 + -294. Suppose 27*z - m*z + 6433 = 0. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1.56 + -2.77. Let f = j - -0.63. Let m = -0.3 + f. Which is the second biggest value?  (a) m  (b) 1\/5  (c) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*c + 2*z + 37, -4*z = -c - 16 - 15. Let b = 22 + c. Let h be (-2)\/4 + (7 - b). Are -1\/8 and h unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*k**2 + 11926*k\/5 + 109182\/5 = 0. What is k?\nAnswer: -587, -93\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 16\/7 - (-2 - 96\/(-42)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 26 + -48. Let g = -18 - k. Let j(u) = -u - g*u + 3*u + u. Let l(y) = y. What is l(j(r))?\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18 = 2*b + 12. Suppose 5*p - g - 2099 = 0, -3*g + 469 = b*p - 776. What is the remainder when p is divided by 35?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 241301212\/15 + -301304983019\/18730. Let u = l - -6\/1873. Find the common denominator of u and 103\/22.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 70939 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = -2 - 1 - 2*z**2 + 2 - 2*z. Let x(i) = 14*i - 128. Let c be x(9). What is w(c)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = z**3 - 16*z**2 + 33*z - 129. Calculate v(15).\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 525471?\nAnswer: 3, 71, 2467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -24*k - 20 = -20*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 2 + 2)*(-3*j**3 - 1 + 1).\nAnswer: -21*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 27, 3, 9, -4842?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (12\/(-8))\/(10\/(-20)). What is the remainder when (-28)\/(2 + (-7 - a\/(-1))) is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*o = -3*t + 11, 5*t + 5*o - 13 = t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 11101100 - -110110110?\nAnswer: 1010100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 126 - 79. Find the first derivative of 6*d**2 + c*d + 71 + 46*d - 93*d wrt d.\nAnswer: 12*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 10, -3, -30, -6?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -566 + 946. What is a rounded to the nearest 10?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = -r**3 - 82*r**2 - 1682*r - 33. Give l(-41).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7324.\nAnswer: 2, 1831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = c**3 - 8*c**2 - 1011*c + 8087. Calculate t(8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = 60*k**3 - 3*k**2 - 25*k - 3. Let b(f) = -f**3 - f**2 + f - 1. Let c(l) = 3*b(l) - x(l). Find the second derivative of c(q) wrt q.\nAnswer: -378*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of ((-54)\/4)\/((-7)\/28).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-137)\/5 - (-10)\/25. Suppose -j - 2 = -0. Let b = j - x. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (168 + 90 + 4 + 356)*(-2 + 2 - 4*v).\nAnswer: -2472*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from phkkkpkt. Give prob of picking 1 h and 1 p.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -24510398 divided by -6.\nAnswer: 12255199\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 7 - 3. Let r = -29 + 28. Sort i, r, -3 in ascending order.\nAnswer: -3, r, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 2, v: 1, l: 1, g: 4, z: 1}. What is prob of sequence vu?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1*sqrt(160))\/sqrt(10) - sqrt(16))\/sqrt(8) + -4.\nAnswer: -4 - 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -358 + 404 + 2300\/(-23)\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 100.597 + 234193?\nAnswer: 234293.597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x**0)**(-43))**(-18)\/((x**0)**31*(x*x**(-2\/5)*x*x)\/(x**6\/x)) assuming x is positive.\nAnswer: x**(12\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 7 + -19. Let g be 9\/2*k\/(-9). Suppose 3*l = o + 17, -g*o = -o + 25. Solve 0 = l*b - 9 + 1 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 1944020 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -11 + 16. Suppose p*t - 9 = 16. Is t\/(-10) - 2445\/(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -1.38  (b) 4  (c) 3  (d) 3\/2  (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 960, 2102, 3438, 4974, 6716, 8670?\n\"Answer: n**3 + 91*n**2 + 862*n + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-47502)\/10556)\/(9\/(-28)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -6 + 27. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = 1027*q - 183. What are the prime factors of t(3)?\nAnswer: 2, 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 1, n: 3, r: 13}. Give prob of picking 1 z and 1 n.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -60.9, -2\/7, -2, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -21735, 2\/13, 4, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = 23*d**3 - 1. Let c be y(1). Suppose -5*l - 2 = -c. Suppose 0 = -v - v - 4*z + 72, -126 = -l*v - 2*z. Is 10 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1107 divided by 488.\nAnswer: -1107\/488","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 99862 smaller than -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert 457 (base 9) to base 12.\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (24*v**2 - 7*v**2 + 5*v**2)*(-58*v**2 + 34*v**2 - 16*v**2).\nAnswer: -880*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:24 PM and 3:58 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19 = -5*d - 4. Suppose 22 = n + 2*n - 4*i, -i + 17 = d*n. Calculate the smallest common multiple of (1\/(-3))\/((-1)\/21) and n.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1743*h - 11 - 3143*h + 1589*h + 4 to the form y*h + r and give r.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) be the first derivative of y**3\/3 - 2*y**2 + 11. Let x = -50 - -54. Suppose -3*l = s + 11, -3*l + x = -4*s - 7*l. Give k(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-4 - -2) + 0 + -3. Let b = d + 9. Solve -k - 26 + 8 = -4*t, 0 = 5*t + b*k - 12 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify q**(4\/3)\/((q\/(q*q*q**(2\/21)))\/q)*q**(-3\/7)*q*q\/(q**21\/q) assuming q is positive.\nAnswer: q**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rz when two letters picked without replacement from {z: 6, r: 4}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = 7*d**3 - 7*d**2 + 1. Let j(t) be the first derivative of 10\/3*t**3 - 2*t - 2 - 5\/2*t**4 + 0*t**2. Let z(r) = -7*h(r) - 5*j(r). Give z(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = -c**2 + 8*c + 14. Let x be s(10). Calculate the remainder when (54\/(-5))\/(x\/20) is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = w**3 + 12*w**2 + 11*w + 5. Let a be -2 - (-1 + (-3)\/3). Suppose a = -4*x + 4 - 48. What is the units digit of i(x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 4975 to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) be the second derivative of 63*a**3\/2 - a**2\/2 + a. Let n be t(1). Suppose 0 = i + 3*i - n. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5534.059 rounded to the nearest 100?\nAnswer: -5500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = 7*y + 35. Let g be z(19). Suppose -c + g = -15*c. Put -4, c, -5 in decreasing order.\nAnswer: -4, -5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 32 + -32. Suppose -4*y + 2 = n - 0, s = -y. Suppose -3*r = n*r - 680. Calculate the remainder when r is divided by 35.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 0.5, -1, 0.4, -0.11, 1\/52, 989?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -49*v**5 - 286083*v**4 - 5529871*v**3 + 57119751*v**2 - 31258912*v + 4399164 = 0. Calculate v.\nAnswer: -5819, -27, 2\/7, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xxxx when four letters picked without replacement from xtvxxxxrvtvvxxvnl?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4638 is divided by 51.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 52 less than 54?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 37433*m**4*w**2 - 11190*m**2*w**2 wrt m.\nAnswer: 898392*m*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify s\/(s**0\/s)*s**(4\/7)*s**(-3\/4)\/(s\/s**(-1\/4))*(s\/(s*s*s\/s**(-1\/2)))**(-1\/4)*(s\/(s*s*s**(-1\/4)*s))**23 assuming s is positive.\nAnswer: s**(-2187\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*z + 2*z + 28119*z**3 - 28118*z**3.\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 1040327?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*y - 25, p - 4*p - 4*y = 41. Let i(b) = b**3 + 9*b**2 + 9*b + 9. Does 11 divide i(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 268906236.\nAnswer: 2, 3, 151, 148403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Add 41293473 and -188783.\nAnswer: 41104690","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nsvo when four letters picked without replacement from {s: 5, v: 1, o: 1, c: 2, n: 2, z: 2}.\nAnswer: 1\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l = -o - 1224, 5*l + 3699 = -3*o + 8*l. Which is bigger: -1235 or o?\nAnswer: -1235","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -29330 divided by 1\nAnswer: -29330","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = 9*w**2 - 42*w - 582. Determine f(6).\nAnswer: -510","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r + 4 = -r. Let b(a) = -15*a**2 - 1 - a**3 - a + 0 + 12*a**2. What is b(r)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4 - 14 - ((-158 + 13 - 11) + 7)\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) be the second derivative of 0*y**6 + 1\/12*y**4 + 0 + 0*y**5 + 0*y**2 + 0*y**3 - 6*y - 1\/14*y**7. What is the third derivative of g(z) wrt z?\nAnswer: -180*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 13311161\/10820754 + 2\/257637. Calculate the common denominator of -16\/27 and v.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v = 4*k - 5*k + 25, 4*k = -v + 56. Let t = k - -3. Does 3 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = -62*o**3 - 8*o**2 - o + 6. Let t(j) = -147*j**3 - 22*j**2 - 2*j + 17. What is -8*n(b) + 3*t(b)?\nAnswer: 55*b**3 - 2*b**2 + 2*b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d - 172 - 68 = 0. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 477833 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 84988, 106635, 128280, 149923?\nAnswer: 171564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*h**2 + 4*h**2 - h**2 + (-2*h - 2*h + 6*h)*(0*h + 0*h + h) + h**2 + 2*h**2 + h**2 + 4*h**2 - 2*h**2 - 4*h**2)*(-7 + 7 + 3*h).\nAnswer: 15*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -75*i = 5*m - 430, -i - 4*i + 34 = -0*i - 0*m + 4*m - 5*m for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Total of 0.198 and -4482.7.\nAnswer: -4482.502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 4718*l**3 + 18*l**2 + 46*l - 2 wrt l?\nAnswer: 28308","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -129603 divided by 1\nAnswer: -129603","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 18894 or -1?\nAnswer: 18894","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 1\/1 - ((-265)\/(-36) + -9) and 55\/18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -24733.96 and 6075.2.\nAnswer: -18658.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*k - 3*k - 15 = 0. Suppose 5*l - 30 - k = 0. Suppose 0 = -4*a + 3*i - l*i + 60, -2*a + 3*i + 55 = 0. List the prime factors of a.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 16338504 is divided by 5446161.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 92563 and 12873.\nAnswer: 613","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 9*(-24)\/108*-5\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*g - 3*m + 4 = 0, 3*g - 112*m - 6 = -109*m for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) be the second derivative of -n**5\/40 + 5*n**4\/6 - 77*n**3\/12 - 121*n**2\/2 + 6*n - 3. Determine x so that l(x) = 0.\nAnswer: -2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 12*j**4 - 374675*j**3 + 12987233*j**2.\nAnswer: 288*j - 2248050","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((-3 + sqrt(320) + 0)**2 + sqrt(320))*4 + 1 + 3)*5.\nAnswer: -800*sqrt(5) + 6600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -3 + 3. Suppose 0 = -l + 3*u - 0 + 5, r = -l + u + 1. Let n be l - (0 - 1 - 1). Sort 4, n, 0 in ascending order.\nAnswer: 0, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 66*r - 71*r = 78*c - 2033, -2*c + 52 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:21 AM and 6:15 PM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -113*l + 21?\nAnswer: -113","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -396 - 10*s + 396.\nAnswer: -10*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0355 + -0.6?\nAnswer: -0.5645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -27 - -32. Suppose 0 = 3*a - b*r - 31, -5*a - 11 = -3*a + 3*r. Solve -m - a = y, 14 + 2 = -4*m for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 572*h**2 + 393*h**2 + 2244*h**2 + 1896*h**2 in the form l*h**2 + c + n*h and give l.\nAnswer: 5105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 11010111 - -11?\nAnswer: 11011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 21 divide 4\/(-10) - (-3726)\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = c**3 + 6*c**2 + 5*c + 5. Let k(u) = u**3 + 6*u**2 + 7*u + 5. Let q be k(-5). What is the lowest common multiple of 4 and f(q)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 108555\/(-21711)*(-52)\/10?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/7, -158, 0.1 in descending order.\nAnswer: 0.1, -2\/7, -158","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l = -2*n - 1742, -4*l - 2*n + 3466 = -0*l. Suppose -3*d = -d - l. Suppose -3*t - 9 = 0, 0*t = 5*m + 2*t - d. Is 7 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 10*v**3 - 7*v**2 - 93*v**4 - 9*v + 4*v + 26*v**4 - 13*v + 66*v**4.\nAnswer: -v*(v - 9)*(v - 2)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) be the first derivative of 3*x**5\/5 - 755*x**4\/4 - 46*x**3\/3 + x**2\/2 - 10436. Find the third derivative of b(r) wrt r.\nAnswer: 72*r - 4530","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 1553986 and -12573107.\nAnswer: -11019121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*v + 17 - 2. Suppose v*f - 5*p = 47, 6*f + 5*p - 97 = 3*f. Suppose -3*q + 99 = f. Calculate the remainder when q is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -218033 * -2.62.\nAnswer: 571246.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 146639 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 - 1 - 1048*r**3 - 13*r**2 - 1126*r**3 + 2173*r**3.\nAnswer: -r**3 - 13*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 1018 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h = 5*h. Suppose h*n - 5*d - 21 = -4*n, -2*n = 4*d - 30. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -121\/234 and -61\/78.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h - 53 = s - 3*s, 0 = 4*h - 5*s + 56. Let q be ((-4)\/(-6))\/(h\/(-324)). Suppose 0 = -3*w + w + q. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:11 AM and 11:33 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(190) - (-3*-1*sqrt(190) + sqrt(190)))\/(sqrt(10) - sqrt(80)\/sqrt(2) - sqrt(10)).\nAnswer: 3*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 26 divided by -2095.\nAnswer: -26\/2095","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b + 2*k - 1907 = 0, -6*b + 3*b = 3*k + 1932. Let a = b - -921. Suppose 3*v = -0*v + a. Is v a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -14 and -96.\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = -2 + 0*c + 3 + 0*c - 6*c. Is j(-1) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 16a6 (base 14) to base 8\nAnswer: 7742","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 1\/66  (b) -3\/2  (c) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 2, -3, -814 in descending order.\nAnswer: 3, 2, -3, -814","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -6724, 1\/3, -5\/6?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 592115232 to the nearest integer?\nAnswer: 840","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -2 - (1 - 3 - -987). What is the common denominator of 47\/2 and (4\/14)\/(72\/w)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = 152*j**2 - 40*j + 32. What are the prime factors of v(-5)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 647 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -88 = 7*h - 74 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 13 - 10 - 2*b - 3*b**4 + 0*b - b**3 + 4*b to a*b**3 + v*b**4 + r*b**2 + w*b + n and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*d + 3*d + 3 = 0. Let q = 10 - 65. Let y = q + 277\/5. Do y and d have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (-84)\/224 - (-4203)\/8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -37*z + 89*z = 4680. Solve -56*i = -71*i + z for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -38.18 or -7\/12?\nAnswer: -7\/12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -48839 and 3?\nAnswer: -146517","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -63907 times -38.01\nAnswer: 2429105.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) be the first derivative of m**4\/4 - 10*m**3\/3 + 9*m**2\/2 + 6*m + 5. Let q be x(7). Let l = q - -145. What is the tens digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-12*w + 23*w - 41*w)*(-1 + 1 + 2 + w) to y*w + t + b*w**2 and give y.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 12 + -7. Suppose 14 = 3*x - 1. Solve 0 = -3*g - 2*z - 19, -5*z - x = -f*g - z for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 70653 is divided by 406.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.131, 2, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.3, -0.28, -3, -0.1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 440071?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Divide 74 by -9.\nAnswer: -74\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 1220  (b) 30855  (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 127560072?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -5.673 times -7.3?\nAnswer: 41.4129","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -9, 37, 121, 261, 475, 781?\n\"Answer: 3*z**3 + z**2 + 22*z - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1068131 is divided by 182.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b**(-2)\/b*b*b**(-4\/7))**(16\/7))**(-42) assuming b is positive.\nAnswer: b**(1728\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -889053 or -889042?\nAnswer: -889042","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = 10*m**3 - 62*m**2 + 75*m - 390. What is f(6)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = -3*p. Let k(i) = 43*i**2. Give x(k(r)).\nAnswer: -129*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -949172088*w**2 + 2*w**3 + 949172088*w**2 + 0*w + 0*w.\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 21\/8 of a second?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 29\/2270 and 4\/3.\nAnswer: 6810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -1, 104, -4 in decreasing order.\nAnswer: 104, 3, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 186662615?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find g, given that -10*g**5 + 254*g**4 - 314*g**3 - 542*g**2 + 324*g + 288 = 0.\nAnswer: -1, -3\/5, 1, 2, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3370 - 3409) + (-214)\/(-5)?\nAnswer: 19\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 18\/(-14) + 4\/14. Let i = 58187 - 58183. Sort -5, -2, w, i.\nAnswer: -5, -2, w, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8532996541 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.13 + 0.33. Put -1\/2, s, 10 in decreasing order.\nAnswer: 10, s, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 421140 (base 5) in base 13?\nAnswer: 644a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Do -532201888 and -532201890 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 120\/55 - 8\/44. Let p be u\/(-3)*(-10)\/((-80)\/114). Which is bigger: -10 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = -2*l + 40. Let b be o(12). Suppose 3*a = 4*a - 5*v + b, 0 = 4*v + 4. Let p(g) = 11*g. Let r(u) = -56*u. Give a*p(w) - 4*r(w).\nAnswer: -7*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round 9906 to the nearest one hundred.\nAnswer: 9900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 12620870.\nAnswer: 2, 5, 1262087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*k = -3*f - 18, 2 = -11*k + 6*k - 3*f for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/2 in -2, 0.5, 4\/7, -5\/6?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = 4*g**3 + 43*g**2 - 28*g + 30. Let u(l) = 2*l**3 + 21*l**2 - 13*l + 15. Let i(n) = 2*r(n) - 5*u(n). What is i(-10)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -7215103*c**3*z - 4*c**3 + 320*c**2 - 148*c*z - 2*z - 4 wrt c.\nAnswer: -43290618*z - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6.41 - 886225.\nAnswer: -886218.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 4?  (a) -0.24  (b) 0.2  (c) 1\/7  (d) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -12 + -32. Let f = 43.9999937 + i. Round f to six dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-16)\/(-24))\/1*3. Solve -5*m + 5*g - 30 = 0, -21 = 6*m - k*m - g for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k*k**(-6\/13)*(((k**27\/k)\/k)\/k*k*k*k)\/k)**20)**22 assuming k is positive.\nAnswer: k**(151800\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 11765 to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 389 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 1335978 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 1990159 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2)\/3)\/((-24)\/252).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve c + 3076*w + 460 = 3099*w, 5*w - 97 = -5*c + 3 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = 5*b**2. Suppose -407*w + 396*w + 363 = 0. Let z(m) = 9*m - 36*m**2 - 7*m + w*m**2. Determine z(q(p)).\nAnswer: -75*p**4 + 10*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000071978 to seven decimal places.\nAnswer: 0.0000072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor 23*x**3 + 2827*x**2 + 84210*x - 7344.\nAnswer: (x + 51)*(x + 72)*(23*x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 39*m + 134*m - 1142 - 1280 = 0 for m.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 8247?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((3 - 2 + 0)*(2*o - 1 + 1) + 83*o + 24*o + 53*o)*(-10*o + 10*o - 10*o**2).\nAnswer: -1620*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = 21*v**3 - v**2. Let u(l) = -l - 3. Let s be u(-4). Does 10 divide b(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -156, -153, -148, -141?\n\"Answer: u**2 - 157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = -r - 11. Let o be w(-17). Let c be 4 - 36\/o - -22. Solve 3*f - c = 2*k, 2*k = -3*f + 3*k + 16 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:51 AM and 5:19 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide 1373484?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8*a**3 + 2*a**3 + 2*a**3 + 9*a**3.\nAnswer: 5*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1954912 divided by -16.\nAnswer: 122182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 0  (b) 4376  (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = -104*i - 4. Let s be c(-1). Suppose -3*v + 671 = -2*x, -v + 2*x = -121 - s. Suppose -u + v = 4*u. Round u to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a + 411 = -0*a. Suppose 0 = -6*u + 151 + a. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y + 7 = 2*g, y - 1 = -0*g + g. Which is smaller: -2 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11 (base 2) in base 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*p - 250 - 23 - 231 + 147.\nAnswer: 3*p - 357","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 43805 divided by -8761?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z*(z**4\/z)\/z)\/z**(-6)*z\/(z\/z**8)*(z\/(z*z\/z**1))\/z*z*z*((z\/(z**(-2)\/z))\/z*z**(-4)*z)\/(z*z**(-7)*z*z**(-4)\/z) assuming z is positive.\nAnswer: z**28","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*w - 185 = w. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:05 AM and 9:25 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -541*i + 534*i - 52581 = -406*i - 632*i for i.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 8\/25 of a meter?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 893.9178 centuries to decades.\nAnswer: 8939.178","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5670.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2 (base 14) to base 11.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Add together 1.196 and 3.\nAnswer: 4.196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:28 PM and 12:58 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = -69*h + 9. Let m(s) = -137*s + 14. Determine -5*g(q) + 3*m(q).\nAnswer: -66*q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 4.6 - 5. What is the fourth smallest value in -2\/11, 0, w, -3\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1\/3348 - 2231\/3348. What is the biggest value in 5, s, 6.47?\nAnswer: 6.47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m + 3*k = 73 + 275, -5*k + 356 = -4*m. Calculate the common denominator of -55\/16 and 410\/(-116) - m\/21.\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 554*n - 545*n = -63 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -14*f**4 - f**4 + 13*f**4 + 4*f**3 - 160 wrt f?\nAnswer: -8*f**3 + 12*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.2  (b) -2\/11  (c) -142  (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.05, 13.452, 0.1 in descending order.\nAnswer: 13.452, 0.1, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0004794 to five dps.\nAnswer: 0.00048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2483 + -3474. Is o smaller than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -12881 - 1?\nAnswer: -12882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) be the first derivative of -u**3\/3 - 3*u**2\/2 + u + 1. Let x be y(-3). What is the tens digit of (38 - (1 - x)) + 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 3.9 - -88.1. Let i = -92.2 + d. Is i <= 12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 506888925?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 16 and 28?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1041\/4180 - -1\/1045. Which is the closest to 1?  (a) 3  (b) n  (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 200 + 123?\nAnswer: 323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*q**2 - 7 + 6 + 6*q**2 + 1.\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = -2*u - 12 + u + u - u. Let q be b(-7). Sort -4, 2, q in descending order.\nAnswer: 2, -4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -45 = -18*z + 3*z. Let c**4 + z*c - 4*c**2 - 84 + 86 + c**3 - 4*c + c**2 = 0. What is c?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -109 + 116. Suppose -3*v = -5 - 16. What is the units digit of 335\/x + v\/49?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 198 and 264.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (1 - -7)*9\/2. Suppose -5*x = 20, -5*x = -5*t + 3*t + l. What is the remainder when t is divided by ((-3)\/6)\/(1\/(-6))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b - 15 = 4*v + v, -v + b - 1 = 0. Let l(d) = d + 11. Let k be l(v). Solve -k*h = 2*c + 29, 0*h + 17 = 4*c - 5*h for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 78*u + 473*u + 161*u + 28*u.\nAnswer: 740*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x = -1 - 7. List the prime factors of (x\/4)\/((-3)\/72).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o = 3*r + 303, 3*o = -0*r + r + 313. What is the hundreds digit of o - (-4 - -4 - -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(sqrt(77) - -2*sqrt(77)) - -2*-1*sqrt(77))\/(-5*sqrt(275)*1 - sqrt(275) - sqrt(275)).\nAnswer: sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7436.\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {a: 12, h: 6}. Give prob of picking 4 h.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = -46*w - 79. What is j(-2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = -3*d. Suppose -4*u + 3*u + 7 = 0. Suppose -2*g + u = 3. Let v(t) = -t - t**2 + t + 3*t**g. Give v(c(n)).\nAnswer: 18*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in seventy-one quarters of a millennium?\nAnswer: 1775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 320, 324, 330, 338, 348, 360, 374?\n\"Answer: g**2 + g + 318","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 98 + -90. Find the common denominator of 67\/12 and 47\/(-22) - 1 - (g - 9).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b + 33 - 43 = 0. Suppose -3*m + 25 = b*m. Let n(g) = 2*g**3 + 6*g**2 - 6*g - 4. Let j(y) = -2*y**3 - 7*y**2 + 7*y + 5. Give m*n(o) + 4*j(o).\nAnswer: 2*o**3 + 2*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2059, -8152, -18303, -32506, -50755?\nAnswer: -73044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:48 AM and 4:37 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) -171  (b) -5  (c) -3  (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 9*k**3 - 4*k**2 - 144*k + 64.\nAnswer: (k - 4)*(k + 4)*(9*k - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = -3*b. Let x(v) = 2801*v**2. Calculate r(x(m)).\nAnswer: -8403*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 190*m**2 + 20*m**3 - 13*m**3 - 192*m**2 to g*m + n + z*m**2 + b*m**3 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-6)\/9)\/((-2)\/3). Let x(z) = 3*z**3 + 3*z**2 - 1. Let n be x(1). What is the nearest to a in 4\/5, 0.2, n?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -3213 + -22339?\nAnswer: -25552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-78)\/52*(-8)\/18. Suppose -3*f - 5 = 3*p + 13, 2*f + 3*p = -14. Let n = 0 - 0. What is the third smallest value in n, v, f?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = 4*o**2 + 24*o - 22. What is the remainder when p(-8) is divided by 26?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-33)\/(-3) + (-2 + 5 - 7) + (-95)\/30?\nAnswer: 23\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1920543 to the nearest integer?\nAnswer: 1386","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 7142486423 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 58696?\nAnswer: 2, 11, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 121, 108, 93, 76, 57, 36?\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.31454 - -0.12372. Round p to 1 dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.45497 to one decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = 125*w**2 + 12368*w - 191. Give d(-99).\nAnswer: 502","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 5 - 16a0?\nAnswer: -1696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express -5*i**2 - i**2 - 13*i**2 as o*i**2 + k*i + m and give o.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (40\/(-16))\/((-6)\/(-12))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = n**3 + 2*n**2 - 2*n + 4. Let r be j(-3). Let c be r\/4 + 390\/8. Let q = -6 + c. What are the prime factors of q?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -11*w**2 + 8*w**2 - 23600*w**6 - 74*w + 22498*w**6 wrt w?\nAnswer: -132240*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (6\/(-9))\/((-4)\/(-6)). Let x be ((-2)\/6)\/(q\/(-9)). Let k be 5202 + x + 1 + 0. Round k to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -869\/3, 3, 116, 3.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert b64 (base 15) to base 12.\nAnswer: 15a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x + 26 = 5*a + 4*x, 11 = 2*a + x. Let t(d) be the first derivative of d**3\/3 - 4*d**2 + 17*d - 1. Let w be t(a). Solve -w*p = -p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wywy when four letters picked without replacement from wwwwywyywwwwwwwwwwwy?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: (-4*((-29)\/(-12))\/29)\/((-1)\/57)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = w**2 + 5*w - 6. Let r be g(-6). Suppose 3*u - l + 41 = r, -4*l + 4 = u - 4. Which is greater: u or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = q**2 + 6*q + 1. Let d be s(-5). Let z = 8 + d. Suppose 3*w = -z*n + 143, -2*n = 2*w - n - 97. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-7)\/(-1) + (-2 - 1). Suppose 23 = -4*m + 5*f, -5*m = -3*m - f + 19. Let k be (-1)\/((m\/3)\/100). Solve -9 = z*i - k for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = l**2 + 2*l + 2. Let h(a) = 6*a**3 + 0*a**2 - a**3 + a**2. Let y be h(-1). Let d be p(y). Calculate the greatest common factor of d and 100.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = 31*u - 28*u. Suppose 0 = 4*p - u*a - 2, -4*p = -3*a + 1 - 7. Let w be -1*(-1)\/(-3)*1. What is the nearest to 0.1 in p, w, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 17 + (62 - 129) + -1?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-384)\/288*(-54)\/(-8)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 8814, 8821, 8832, 8847?\n\"Answer: 2*n**2 + n + 8811","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.2 in 4\/7, -0.03, 0.1?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m = -12*m - 9. Let z be (-40)\/(-7) + m\/(-14)*4. Calculate the highest common divisor of z and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 18*f + 14*f - 48*f + 17*f.\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*z + 11*z = 4. Solve 0 = -k + z*k - 9 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m - 1 = 0, -3*f + 8*f + 4*m - 1166 = 0. What is the greatest common factor of f and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10001001010110 (base 2) to base 15.\nAnswer: -2910","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 16\/(((-2)\/((-4)\/(-5)))\/(4990\/3992))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (z - 2*z + 2*z)*(0*z**3 + 7*z**3 - 5*z**3) to v*z**3 + l*z**2 + m*z**4 + h*z + a and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000077426 rounded to six dps?\nAnswer: -0.000077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Work out -14 * -3.38.\nAnswer: 47.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 590163?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -23, -3, 30, -0.05?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (265\/(-1219))\/(130\/(-13))?\nAnswer: 1\/46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a + 5*f + 8 = 0, -5*a + 10*a - 37 = 4*f. Suppose h = -1 - a. Let p = 10 + h. Solve -5*j + 0*j + 15 = p for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.1, -0.1, -1143111?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -689 - -604. What is the nearest to 1\/4 in 2\/5, y, 3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q = 5 + 7. Solve w = q*h - 13, -2*h + w = -3 - 4 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = 3*b - s, -2*b + s + 1 = -1. Let f(t) = t + 3. Let g(y) = -y - 1. Let h(r) = f(r) + 2*g(r). Let d(o) = o**2 - 4*o + 4. Determine b*d(z) - 4*h(z).\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-153)\/238)\/(36\/84)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = 5*k**2 + 7*k. Let t(b) = -3*b**2 - 4*b. Let z(p) = -4*i(p) - 7*t(p). Factor z(j).\nAnswer: j**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9288605?\nAnswer: 5, 659, 2819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = 28*r**3 - r**2 + r. Let x be i(1). Suppose -x = -5*k + k. Let f = 12 - k. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 30.2 - 30. Let x = -2.908 - 0.092. Let u = 0.3 - 0.6. Which is the third smallest value?  (a) q  (b) u  (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j + c + 33 = 0, 0 = -4*j + 5*c - 0 + 37. Calculate the least common multiple of j and 4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = a**2 - 134. Let u(t) = -t + 20. Determine u(d(i)).\nAnswer: -i**2 + 154","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 910 and 546?\nAnswer: 2730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:35 AM and 6:58 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 481 minutes after 2:00 PM?\nAnswer: 10:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 15413, 14619, 13825, 13031, 12237, 11443?\n\"Answer: -794*u + 16207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -11025.1 + 11027. What is the smallest value in -1, -1.2, m, -2\/9?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1256404 to the power of 1\/2, to the nearest integer?\nAnswer: 1121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -29367, -58739, -88113, -117489, -146867, -176247?\n\"Answer: -u**2 - 29369*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -5937 - -123554. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*q - 2*q + 10 = 0. Suppose -h - 3*j = 2, -q + 21 = 2*h + 2*j. What are the prime factors of h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 131\/115640 and -49\/119360.\nAnswer: 345069760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -19683*w + 9844*w + 9847*w.\nAnswer: 8*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(5*(0 + -3 + 6*((sqrt(11) + sqrt(33)\/sqrt(3) - sqrt(11)) + -1)))**2*4.\nAnswer: -43200*sqrt(11) + 190800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5307*o + 5303*o + 0*o**3 - o**2 + 21*o**2 + 5*o**3 to the form d*o**2 + x*o + y + n*o**3 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 256\/35 - 38\/5. Let s = 1.2 - 1. Let d = s + -0.2. What is the nearest to d in u, -0.5, 0.3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.5, -5, -171\/4, 0.038, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of d - 6*d + 7*d**4 - 9*d + 4*d**4 wrt d.\nAnswer: 132*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) be the second derivative of u**4\/12 - 11*u**3\/6 + 5*u**2\/2 + 2*u. Is p(-9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 78 + 112?\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 6*(2 + 30\/(-9)). Let s(j) = -j**2 - 6*j + 8. Let d be s(r). Let c = d + 18. What is the greatest common divisor of c and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*t + 10 = i, 0 = i - 29*t + 27*t + 10 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put together -28789 and -1962567.\nAnswer: -1991356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = -4*b + 2 + 6*b - b - 3*b. What is the tens digit of i(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19 - 17 = -3*v. Suppose 7*x - 13950 = v*x. Round x to the nearest 100.\nAnswer: -2800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:33 AM and 11:47 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6, -9, -16, 3, -3 in decreasing order.\nAnswer: 6, 3, -3, -9, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = -s**3 - 25*s**2 - 66*s + 20. What is the remainder when 177 is divided by w(-22)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g - 4*q = 29, -g = -2*g + 3*q + 8. Suppose 4*x - 1 = -l, -5*l - 3*x + x + g = 0. Which is bigger: -1\/4 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 208*((-6237)\/(-1232))\/(-81).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 992, 1044, 1096, 1148, 1200?\n\"Answer: 52*p + 940","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 315180 and 1496?\nAnswer: 6933960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14*i + 49*i + 70*i - 27*i = -7950 for i.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = -4*x**3 - x. Let s(o) = o**3 - 7*o**2 + 1. Suppose 5*v - 30 = f, 3*v = v + 3*f - 1. Let k be s(v). Give i(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -79 - -80. Suppose -5*c = -4*m + 90, -30*c - 72 = -26*c + 3*m. Sort c, -2, 4, b.\nAnswer: c, -2, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-4)\/3 - (-20)\/60. Let p = 48 + -45. Which is the closest to -1?  (a) q  (b) 2\/19  (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = -5*m - 19, 5*m + 60 = -5*v. Let t(u) = -u**3 - 9*u**2 - 23*u - 8. Let d be t(v). Is d > 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2895939*g = 2896303*g - 9100 for g.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 52792 divided by 8.\nAnswer: 6599","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 2\/4 + 12\/8. Suppose a*p - 7*i + 8*i = 670, 2*i = -p + 332. Does 16 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = p + 12. Let u be t(-12). Let a be 4\/(-10) - (-2 - 39\/(-15)). Is u greater than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = 3*x + 9. Suppose -2*w - f - 6 = 2*f, 0 = -w - 3*f + 3. Let t be n(w). Let u be 10\/(-35) - t\/14. Solve 0 = h + u - 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (0\/(-6))\/(8*9\/72).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*n = 3*f + 43, -30*n = -29*n + 2*f + 29 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand 10*k**3 + 2*k**3 - 4460*k**2 + 4927*k**2 + 0*k - k**3 + 0*k + 3*k + k**3 - 3*k + (-2*k**2 + 0*k**2 + 0*k**2)*(-2*k - k + 4*k).\nAnswer: 10*k**3 + 467*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*y + 4 - 14 - 37*y**2 + 136*y**2 + 10 in the form b*y + i*y**2 + p and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 346.3 - 346.9. What is the second smallest value in -38, -4, t?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 1\/2, -0.64, -3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -206 + 1026\/5. Let x = 436.6 + -437. Let l = -1.3 - -2.3. What is the closest to l in x, u, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve z + 6 = -4*n, -9 = -5664*z + 5662*z - n for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m - 3*c - 66 = 16, 0 = -5*m + 5*c + 90. Suppose 172 + m = 2*w. List the prime factors of w.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 22043 is divided by 45.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = -567*h**2 - 27. Let v(r) = 44*r**2 + 2. Let i(q) = 4*t(q) + 54*v(q). Let f(m) = m**2. Give i(f(g)).\nAnswer: 108*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express -82*b - 2 - 7*b**3 + 23*b - 48*b**2 + 61*b - b**3 in the form c + n*b**2 + t*b + z*b**3 and give z.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -142166, -568650, -1279458, -2274590?\nAnswer: -3554046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -203121 + 310242?\nAnswer: 102121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 1613 and 492008?\nAnswer: 490395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.08, -8\/7, 0.265, -242 in descending order.\nAnswer: 0.265, 0.08, -8\/7, -242","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1889 in 0, 14, -0.5, 2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 0.4 and -0.0146?\nAnswer: 0.4146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -1333127911, -1333127910, -1333127909?\n\"Answer: y - 1333127912","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0034793 to 3 dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 702566 is divided by 169.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.471, -4, -1\/8, -5\/2 in decreasing order.\nAnswer: 0.471, -1\/8, -5\/2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*j = 250 + 177. Suppose 4*c - 9 = -1. Suppose 3*h = o + 99, c*h + 2*o + 1 = 59. Calculate the remainder when j is divided by h.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 0.062  (b) 14  (c) -0.36  (d) -2  (e) -2\/17  (f) 0.01  (g) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3*-1477.\nAnswer: 4431","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 71386662.\nAnswer: 2, 3, 11897777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000077382 to six dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = 13*h - 9. Let g(w) = -5 - 1 + 3 + 4*w. Suppose -27*o - 4*o + 62 = 0. What is o*f(r) - 7*g(r)?\nAnswer: -2*r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 9, w: 2, y: 2, c: 1}. Give prob of sequence ymm.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.5 + -1.5. Let c = -14 + 14.3. What is the third biggest value in x, -4, c?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 71\/32222190 and -197\/1170?\nAnswer: 96666570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = 73*f**2 - 290*f - 12. What is t(4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = 323*y + 11616. What is r(-35)?\nAnswer: 311","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -7860220, -31441028, -70742384, -125764294, -196506764?\nAnswer: -282969800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) be the third derivative of -b**4\/24 - 5*b**3\/6 + 7*b**2. Let l be a(-5). Suppose -12*r + 10*r + 30 = l. Is r at most 14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = 15*n**2 - 12*n + 23. Let b be a(3). Suppose 127*v - b*v - 295 = 0. List the prime factors of v.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 30\/24*(0 - -56). Suppose u + 3*r - 21 = r, -5*u = 3*r - x. Solve -d - l - 2 = 2, 4*d - u = 5*l for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 1620\/(-55) - (-30)\/(-55). Let d be (w\/(-2))\/(3\/72*8). Are d and 43 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*t**2 - 42*t + 76.\nAnswer: 2*(t - 19)*(t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 890 = 43*x + 11*x + 35*x for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -21619, -21692, -21765, -21838, -21911?\nAnswer: -21984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = 6*u**2 - 3*u + 3. Let z be r(2). Let n(y) = -2*y**3 + 40*y**2 + 46*y - 28. Calculate the remainder when 278 is divided by n(z).\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = 5*j + 8. Let z(m) = 6*m + 9. Let w(o) = -4*u(o) + 3*z(o). Let d be -2 - (0 + (2 - -1)). Let p(i) = 1. Let f be -2*1 - (1 + -2). Give d*p(v) + f*w(v).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (0 - -38) + (-2884 - -2878)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -s - 10294 + 5142 + 5142.\nAnswer: -s - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -294 - -295. Which is the fourth biggest value?  (a) 0  (b) -6\/35  (c) q  (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 51 - 76005\/1485 - (-126)\/814?\nAnswer: -1\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 14 divided by 728?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = -17*m**3 - m**2 - m. Let r be -1 - -1 - 3 - -2. Determine k(r).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = 11*f - 29. Let t be u(7). Let m = t - 48. Let s be ((-2)\/4 + 0)*4. Sort m, s, 7 in decreasing order.\nAnswer: 7, m, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 191 minutes after 2:52 PM?\nAnswer: 6:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 28, 62, 100, 142?\nAnswer: 188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 4\/14 - (10\/7)\/5. Does v = -3\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 3673 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 + 3 - 2)*(-2*i + 8*i + 0*i).\nAnswer: -24*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = -6*u**2 + 2*u + 1. Let j(m) = -7*m**2 - 4*m - 5. Let p(t) = -22*t**2 - 15*t - 18. Let c(g) = 7*j(g) - 2*p(g). Calculate -4*c(o) + 3*l(o).\nAnswer: 2*o**2 - 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 384 and 448?\nAnswer: 2688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ffccfcfcfcfff. What is prob of picking 4 f?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 15736122 is divided by 17123.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 1590398141 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 599022671 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/2, -4, 795, 4 in decreasing order.\nAnswer: 795, 4, -1\/2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from wywlwwwlwlwklwwy?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-16)\/112)\/(((-117)\/1547)\/(-9))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Add together -326304 and 0.3.\nAnswer: -326303.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -94902198 - 3*p + 94902198.\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -74 - -1037554?\nAnswer: 1037470","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00063492 to 4 dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = 3*y**2. Let h(c) = 44*c. Let u be -6*(-4)\/(-40)*5. Let v(a) be the first derivative of -5*a**2\/2 + 1. Let x(k) = u*h(k) - 28*v(k). Give x(t(s)).\nAnswer: 24*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*v, 5*h + v - 40 = -0*h. Let l = h + 11. What is the remainder when l is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {u: 11, q: 1, r: 1, a: 1, x: 2}. What is prob of sequence xqx?\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) be the second derivative of 0*c**3 + 21\/2*c**2 - 23*c + 0 + 1\/24*c**4. Let w(x) be the first derivative of j(x). Let k(z) = -2*z**2. Calculate w(k(r)).\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 111\/45*9\/30 and 121\/20?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -83  (b) -3  (c) 5  (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -255  (b) -0.3  (c) 0.4  (d) -115  (e) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2699*149.\nAnswer: 402151","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 38849 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 80 + 41. Let v = s + -120.6. Which is the third biggest value?  (a) 5  (b) v  (c) 5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1189?\nAnswer: 29, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 10*r + 10895 - 38045. Calculate the highest common divisor of r and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = -84*m**3 - m**2 + 5*m + 7. What is the hundreds digit of v(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2\/((-66)\/9))\/3.\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1378 - 791. Let s = a - 528. Solve -9*k - 14 = -s for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -2 + 5. Solve w = -2*p - 3 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8*(6916\/(-208) - -37)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from eeeeegeeeeellwewrgle. What is prob of sequence eg?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 - (-4)\/(-5)*30\/(-12).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 205851 to the power of 1\/3, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n\/(n**(-2\/7)\/n))**(9\/2)\/(n**(-1))**42)\/((n**(-5)*n\/(n*n*n**0\/n)*n)\/(n**(-2\/7))**(-15)) assuming n is positive.\nAnswer: n**(424\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = 11*f - 5. Let k(j) = -10*j + 3. What is 4*k(m) + 3*w(m)?\nAnswer: -7*m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = -3*u - 1 - 4 + 4. Let z be x(7). What are the prime factors of (3\/(-6))\/(1\/z)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -269722 * -5.4\nAnswer: 1456498.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 281243 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence lm when two letters picked without replacement from mmmlmmmmmmlmmlmm?\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -31231779*w**4 + 2*w**2 + 345124679?\nAnswer: -124927116*w**3 + 4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand i - i**2 - i + 0 + 0 - i**2 + (3*i + 0*i - i)*(1 - 1 - i) + 2*i + 22*i**2 - 2 - 42*i**2 + 21*i**2.\nAnswer: -3*i**2 + 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -171.969 + 0.769. Let n = -158 - z. Round n to the nearest integer.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-1)\/2 - (-105)\/(-30). Let h = -3 + 4. Let v = 3 + h. What is the third biggest value in v, u, -3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*j = 2*s - 6*s - 12, -3*j - 12 = 5*s + 11 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c = -c - 20. Suppose -3*h + 8 = 2*v, v = c*h - 9 - 13. Solve -2*q + 3*w = 3*q - 6, 4 = h*q - 2*w for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -5*g**4*j - 341074*g**4 - 2*g**3 - 50462*g**2 - 196*g*j wrt g?\nAnswer: -120*g*j - 8185776*g - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((v*v**(2\/7))**43)**10)**(-48) assuming v is positive.\nAnswer: v**(-185760\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -816 - -799. Let l = -16.516 + 0.016. Let u = y - l. Which is the nearest to -3\/4?  (a) -2  (b) 0  (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 104276448 a multiple of 333?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 16940168 is divided by 27.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.12113 - 3.12113. Let h = 10 + -5. Sort h, 20, g in descending order.\nAnswer: 20, h, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000010311531 rounded to 7 dps?\nAnswer: 0.0000103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 937 + -6561\/7. Suppose 0*j - 5*x = 2*j - 6, 3*j + 3*x = 0. Which is the second smallest value?  (a) j  (b) -15\/4  (c) -5  (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-140)\/(-25))\/((-2)\/(-5)). Let f(m) = -m + 18. Let c be f(n). Solve -c = 4*s - 24 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -3 + 1. Let n = 2 + q. What is the second smallest value in 0.2, -5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 0 - 120022101121220222?\nAnswer: -120022101121220222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 v and 2 e when three letters picked without replacement from egwecevwvrvrgvr.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 + 1 = 4*o. Let s(n) = 36*n - 2. Let w be s(2). Suppose 0*p = o*p - w. Does 13 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 9800693?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 h and 1 d when two letters picked without replacement from {d: 1, h: 1, a: 1, f: 1, m: 3}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*c - 10*c - 458757 = 0. Suppose -c = o + 691243. Round o to the nearest 100000.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d = -0*d + 10. Suppose 0 = -0*j + d*j. Suppose j = 5*r + 25 - 100. Is r a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.86922067 to 2 decimal places.\nAnswer: 0.87","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 363 + -4 - 120\/(-10) is divided by 106?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6532.\nAnswer: 2, 23, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 49251.87 centuries?\nAnswer: 59102244","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = -z**2 + 3*z - 2. Let v be q(3). Let w be -5 - (1 + -5)*v\/(-8). Let m = 40 + -39.6. Sort w, 0, m in ascending order.\nAnswer: w, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j*j**(2\/7))**48\/(j**(-1\/2)*((j\/j**(-3\/7))\/j)\/j*j*j) assuming j is positive.\nAnswer: j**(851\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -29, -24, -15, -2, 15, 36?\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express 16198 - 1590 + 16390 + 2532 + w - 3*w as i*w + a and give a.\nAnswer: 33530","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 6 + -3. Suppose 5*g + 0*g + 9 = -2*s, -3*s = -i*g + 3. Let x(l) = 7*l**2 - l. Is x(s) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = -6 + 1 + 5 + 12*u**2. Let j(x) be the second derivative of x**4\/3 + 26*x. Give i(j(z)).\nAnswer: 192*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 10 - 6. Let l = a - -8. Does 12 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = -258*o + 7726. Calculate n(30).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 9 + -6 + -4 + 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 12870?\nAnswer: 2, 3, 5, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 135 + -94. Suppose s = x + 8, 4*s - k = 3*x - 12. Suppose 47 = s*m - 18. Calculate the greatest common divisor of 65 and m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((q\/(q\/(q*q\/((q\/(q*q**(-10)))\/q))))\/q)\/q*q)**9*(q\/(q**(-2)\/q)*q)**6)**21 assuming q is positive.\nAnswer: q**(-882)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u - 105 = -5*s, -6*s + 15 = u - s. Let w be 1 + 4 + (-2)\/(u\/(-1095)). Calculate the greatest common factor of w and 858.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-90)\/(-4)*168\/(-630)*3?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -214 - -214.263. Let f = 0.047 + t. Let h = f - 0.01. Which is the third biggest value?  (a) 4  (b) -0.1  (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-4)\/(-10))\/((-2)\/(-60)). Suppose -j - 28 = -6*j + y, -4*y - p = 0. Solve -6 = j*k - 2*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 22 * -3\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d - 21 = -2*d. Suppose 0 = -4*z + 5*r + 41, -z + 3*r + d = -3*z. Solve -1 = -k + z*k - 4*q, -q + 24 = 4*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -114*r + 112*r = 4*o + 34, 0 = 2*r - 4*o - 30 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 34717930?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 38734146 less than or equal to 38734144?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m = -0 - 3. Suppose m*s + 0*s + 24 = 0. What are the prime factors of -2*(-2 - (-20)\/s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -6 + 17. Let m = w - 13. Let i = 0.23 + -0.43. Sort i, m, 0.\nAnswer: m, i, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -459, -1841, -4147, -7377?\n\"Answer: -462*d**2 + 4*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 106 - 105. Which is the closest to 3\/17?  (a) n  (b) -2  (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = -69*s**3 + 23*s**2 - 8*s - 11. Let c(g) = 23*g**3 - 8*g**2 + 3*g + 4. What is 11*c(o) + 4*f(o)?\nAnswer: -23*o**3 + 4*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 2\/(-8) - 13\/(-4). Suppose -3*s - z = -12. Suppose 0 = -5*t + 10, s*t - 12 = -4*k + t. Solve 0 = -k*x + 2*b - 8, -b - 2*b + 11 = -4*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -80 - -401\/5. Suppose 4*z = -3*q + q, 0 = -4*z + 3*q. Let c be (-3)\/(-9)*z\/(-4). What is the nearest to t in c, 1, -0.2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q = 25, -2*q + 0 + 2 = 2*z. Let n = z - -7. Suppose n*x + 2*x = 5, 0 = -3*s + x + 74. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1998826 is divided by 30285.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 30833471 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -3, 17\/9, -0.23, -1\/4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 3 + -221?\nAnswer: -212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 6225998 to the nearest integer?\nAnswer: 2495","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q**(2\/7))**28)**49\/((q**(-3))**23)**21 assuming q is positive.\nAnswer: q**1841","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -76 + 80. Suppose 0 = -y*r + 19 + 1. Suppose -s + 16 = -4. Solve -r*m + m = s for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.146026504 to 6 decimal places.\nAnswer: -0.146027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 5 - 2033728?\nAnswer: -2033723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -9*h**3 - 2*h**2 + 476*h - 1.\nAnswer: -54*h - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = y. Let c(w) = -20*w**2 + 17*w + 83. Let a(l) = -7*l**2 + 6*l + 28. Let r = -71 + 54. Let k(v) = r*a(v) + 6*c(v). Give k(p(j)).\nAnswer: -j**2 + 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 167243 is divided by 155.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 5 - 6. Let v = d - -7. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 13354 (base 10) to base 4\nAnswer: 3100222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {k: 10}. Give prob of picking 3 k.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 97878545 to the nearest integer?\nAnswer: 461","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) -1  (b) -5  (c) -2\/5  (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 5 - 21477?\nAnswer: -21472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 17 - 17. Which is smaller: j or -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 15.539 rounded to zero dps?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*s**2\/5 + 9153*s\/5 - 1080480.\nAnswer: -3*(s - 2251)*(s - 800)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-32 - -8)\/(-8) + -3)*1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y + 1038 = 5*s - 2*y, -2*s = 5*y - 435. Let d = 467 - s. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-4*1\/(-8))\/((-5)\/(-50)). Let l be 5*4\/v - 2. Suppose -8 = -l*b + 2, -3*b = -t + 220. Is 30 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -b**5\/3 + 5*b**4\/3 + 11*b**3 - 161*b**2\/3 + 208*b\/3 - 28 = 0.\nAnswer: -6, 1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 4 + -2. Let n(d) = -35*d + 422. Let x be n(12). Suppose 3*s - x*r + 5 = 0, -t*s + r = -0*s + 5. What is the closest to -7 in s, 5, -2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -9aa3a3 + -99?\nAnswer: -9aa491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 457, 899, 1341?\n\"Answer: 442*i + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3 = -3*r - 2*q, -3*r - 3*q = 6 - 12 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {i: 3, n: 3}. Give prob of sequence niii.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -50*t + 40 = -42*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) be the second derivative of 2*b**6\/45 - b**5\/30 - 5*b**4\/9 - 17*b. Find n such that s(n) = 0.\nAnswer: -2, 0, 5\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 0  (b) -1  (c) -74  (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Divide -6 by -36379486.\nAnswer: 3\/18189743","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 0 - (-117810 - 4)*37. Suppose -361825 = -3*o - f. Let y = 1992431 + o. What is y rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*g + 10*g - y = 10, 5*g + 25 = -4*y. Which is bigger: -4\/213 or g?\nAnswer: -4\/213","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0003276 to five decimal places.\nAnswer: 0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*f = -10*f + 89*f + 2403 for f.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 654036 (base 7) to base 11.\nAnswer: 78920","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 17.5  (b) 2\/9  (c) 1.4  (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = -i**3 - 15*i**2 + 15*i - 13. Let x be b(-16). Suppose 7*m = -2*t + 3*m + 1190, -x*t = 4*m - 1777. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 5684\/11 or 516?\nAnswer: 516","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand -1 - 2*w**2 + 1 + (-2*w**2 + 2*w - 2*w)*(-3 + 1 + 3) + 2*w**2 - 3*w**2 - w**2 - 54 + 23 + 23 + 2*w**2.\nAnswer: -4*w**2 - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-192)\/(-12) + (-2 - 5). Let d be 9*1\/(-1)*-9. What is the greatest common divisor of x and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = 10*f**3 - 12*f**2 + 12*f - 12. Let p(w) = -4*w**2 + 4*w**3 + 5*w - 3 + 4 - w**2 - 6. Calculate 5*m(k) - 12*p(k).\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m + n + 9 + 6 = 0, 3*n + 15 = 0. Suppose 3*v = -5*q + 121, 11*v - 66 = -4*q + 13*v. Calculate the greatest common divisor of q and m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is seven eighths of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) be the third derivative of -h**6\/24 + 7*h**5\/60 - 4*h**2. What is the third derivative of j(v) wrt v?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h = -5 - 3. Let d(s) = 11*s**2 - s + 2. Let r be d(-2). Suppose -h*x + 14*x = r. Put -2, 1, x in ascending order.\nAnswer: -2, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 divided by 3587?\nAnswer: 4\/3587","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*(1*(sqrt(132)*1 + sqrt(132)) - sqrt(132))*-2)\/((sqrt(60)*5)\/sqrt(5) - (6*sqrt(96)\/sqrt(8) + sqrt(12))).\nAnswer: -2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = -g - 9. Let p be a(-14). Suppose 662 = p*r - 1533. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -14 + 5 + 5 + 2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1214.594 + -5647.90725.\nAnswer: -6862.50125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y - 6*y = -355. Let r = y - 63. What is the highest common factor of r and 72?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -64 = -5*p - 2*j, -j + 34 = 3*p - 2*j. Let v be p\/(-42) - (-2)\/7. Let q = 2 + v. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*p + 4 = -12*p. Find the second derivative of -p*i**2 + 11*i + 17*i**2 + 6*i**2 - 9*i**2 wrt i.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*b**3 - 912*b**2 + 2700*b.\nAnswer: 4*b*(b - 225)*(b - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is -469950 at least -7989174\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find z, given that -15*z**3\/2 - 361*z**2\/6 - 343*z\/3 + 76\/3 = 0.\nAnswer: -38\/9, -4, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + -6*sqrt(12)*4*1.\nAnswer: -48*sqrt(3) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0.2  (b) 441  (c) 2  (d) 153998\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*g**2 + 0*g**2 - 9*g**2 + 9*g**2.\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o - 35 = -3*a, 5*a - 5*o - 43 = 2*a. Calculate the remainder when (-2)\/8 - 676\/(-16) is divided by a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 62 in -3, -159, -2, -1, 187, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -95*q**5 - 22876*q**3 - q**2 - 660*q + 30 wrt q.\nAnswer: -5700*q**2 - 137256","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((4 - 1 + 0)*(-9*d - 25*d + 47*d) + (-4 + 0 + 2)*(0*d - 3*d + 2*d))*(58 - 58 + 6*d).\nAnswer: 246*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 10136 - 9268. Calculate the smallest common multiple of 42 and a.\nAnswer: 2604","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = 2*k**2 + 23*k + 29. Let y be (2 - 12\/3) + -10. What are the prime factors of l(y)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -25, -5, 1, 4, 2 in decreasing order.\nAnswer: 4, 2, 1, -5, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 36 and 55238886.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -20 and 7.09?\nAnswer: -141.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 72, 96, 132, 186, 264?\n\"Answer: h**3 + 17*h + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-305)\/1800 - 4\/(-32). Is l < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 86603 and 1094347.\nAnswer: 12037817","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 22576081 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -46\/13 - -348\/91. Sort 3\/4, -0.3, a in decreasing order.\nAnswer: 3\/4, a, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 132\/84 - 6\/(-14).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*y = -2*y + 16. Suppose 0 = q + q + y. Sort -0.2, 1, q in decreasing order.\nAnswer: 1, -0.2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = 0*h - h - h + 4. Let b be u(3). List the prime factors of b\/(-9) + (-490)\/(-63).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 4.329505736 to 3 decimal places.\nAnswer: 4.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*k + 7*k = 6*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 3\/(-9)*(-1 + -5). Solve 5*l = -h + 8, o*l + 8*h = 3*h - 6 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 14 in -11, 53, -1\/462, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -j**2\/4 - 546*j.\nAnswer: -j*(j + 2184)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 45.97 - 48. Round l to 1 decimal place.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 279709 to the nearest integer?\nAnswer: 529","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 27\/6*(-2)\/(-3). Suppose -2*t + 0*z + 39 = j*z, 0 = 5*z - 15. List the prime factors of t.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*s = -4*g + 20, 0 = 3*s + 3*g - 14 - 1 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 4352326 and 7964?\nAnswer: 3982","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -52*b + 51*b - 3*k - 62 = 0, 4*b + 4*k = -88 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = 9*w**2 - 3*w - 3. Let t be z(-2). Let x = t - 43. Is 500 + x\/12*-9 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 38 and 171.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 19.87 or 14\/251?\nAnswer: 19.87","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 82597550?\nAnswer: 2, 5, 7, 409, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -20.62+298468.06\nAnswer: 298447.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = 33*z**3 - 2*z**2 + 2. Let w(y) be the second derivative of y**5\/20 + y**4\/12 - y**2\/2 + 118*y + 13. Calculate -b(l) - 2*w(l).\nAnswer: -35*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q = q - 35. Suppose -3*t + q*t = 32. Suppose z = -z + t. Solve -3*s - 5 = z for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 42848?\nAnswer: 2, 13, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 q, 1 f, and 1 k when three letters picked without replacement from {f: 2, k: 2, q: 2, u: 3}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 17 + -11. Let g be (2\/4)\/(h\/(-228)). Is 34 a factor of g\/(5\/(-13 - 2))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a = 12 + 3. Suppose 30 = -0*o + a*o. Let b(l) = 5 + l**2 + l**3 + 0*l**2 + 0 - 6*l**2 + 21*l - 30*l. Determine b(o).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -3 + 2.9. Let c be (-6)\/2 + 5\/2. Put c, -2\/9, f in ascending order.\nAnswer: c, -2\/9, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.1*-4.74.\nAnswer: -0.474","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 9\/538609, 1, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*g + 52 = 2*a + 2*g, 74 = 4*a + 2*g. Let h be (-1)\/(-2)*(5 + (4 - -37)). Let d = h - a. Solve 1 = r + d for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1108*o - 437 - 1105*o - 143.\nAnswer: 3*o - 580","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (9\/3)\/(2\/6).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-3)\/3*(-2 + 5). Let g be 0 + s\/(-3) + 2. Let r = 31 - 31. Solve -j - g*j = r for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -7 - -10. Suppose t = c*w - 6 + 22, -w = t + 4. Let h(a) = 11*a. Does 5 divide h(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1499 * 6.5\nAnswer: -9743.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:46 AM and 7:30 PM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w**3\/13 + 134*w**2 - 40972*w\/13 + 135888\/13 = 0. What is w?\nAnswer: -894, 4, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -2 - -2.5. Suppose 3*c = -4*w - 28, 3*c - 4 = 5*w - w. Let j = -4 - c. What is the third biggest value in i, j, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = -38*x + 156. Let a be w(4). Solve -a*q + 8 = -y, q - 9 = -2*q for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8142.\nAnswer: 2, 3, 23, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 17546.6 - 37?\nAnswer: 17509.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = 5*y**2 + 85. Does 15 divide z(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11351 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -392 + 342. Suppose 2*l - 5*l + 261 = 0. Let t = x + l. List the prime factors of t.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 35770 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 313 minutes after 11:03 PM?\nAnswer: 4:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 x when four letters picked without replacement from {x: 4, e: 10}.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 3316, 13273, 29872, 53113?\n\"Answer: 3321*n**2 - 6*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*n = 3*n + 2*a, 2*a = 10. Let f be 5\/n - (-3)\/6. Solve -f*q + m + m = 13, -3*q + m - 14 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1.2 + 3.1. Let j = -0.1 - o. Let d = j + 0. Which is smaller: d or -1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.9 - -2.1. Put v, -3, -4 in decreasing order.\nAnswer: v, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = 5*l**2 + 7*l - 2. Let k be b(-5). What is the greatest common divisor of k and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = 4*w**2 - 21*w - 3. Let t(x) = -5*x**2 + 21*x + 4. Calculate -3*c(o) - 2*t(o).\nAnswer: -2*o**2 + 21*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*k = 4*b + 28, -3*k - 3*b = -0*b + 3 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 36 divide 2117550?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 20268597841 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 5895, 11808, 17721?\n\"Answer: 5913*o - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -139, -24307, -96559, -240937, -481483, -842239, -1347247?\nAnswer: -2020549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 423898431?\nAnswer: 3, 11, 139, 92413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -475, -1, -457, 711 in descending order.\nAnswer: 711, -1, -5, -457, -475","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 157122?\nAnswer: 2, 3, 7, 29, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 4072601359 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -7 - -10. Let t(k) = -k**2 - 8*k + 10. Let s be t(-9). Let o = b + s. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -3276682*x**3 + 1668141*x**2?\nAnswer: -19660092","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*p - 50 = 10*p + 2*t, 0 = 2*p - 3*t - 55 for p.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = -r**3 + 8*r**2 + 10*r - 13. Let t be v(9). Let x be (7 - 4)*t\/(-3). Suppose 0 = -2*p - x*u + 2*u + 64, 5*u = -15. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 3 - 130?\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 22 - 33. Let r = g + 13. Solve r*n = -0*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4 + -28 + -24 + 58\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.2 and -437.\nAnswer: 87.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 204 a factor of 17340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 23\/5 - (-3)\/(-5). Suppose 6 = -4*g + 3*v + 95, 3*g + 5*v - 103 = 0. Suppose -182*j = -539 - 7. Solve 3*k - 18 = j*o, 2*o + l*k = 7*o + g for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -134088 (base 9) to base 14.\nAnswer: -21ada","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"}
{"text":"Question: Let d = 5 - 5.3. Is 5 less than or equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4)\/(-4)*0\/(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = 4*s - 1. Let t(c) = 2 - 3 + 4 - c. Let j be t(0). Let f(y) = -4*y. Let x(k) = j*f(k) + 2*g(k). What is the first derivative of x(p) wrt p?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 71 minutes before 2:31 PM?\nAnswer: 1:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-15 - (10 - (-42 - (-2 - -18)))) + 2 + 2.\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 11761934?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*k - 89 = -4. What is the common denominator of -91\/2 and (-374582)\/(-77610) + 2\/15 - k?\nAnswer: 398","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -706, -1975, -3810, -6211, -9178?\n\"Answer: -283*q**2 - 420*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p*p\/(p**(3\/16)*p))**(2\/15)*p\/((p*p**(-8\/9))\/p)*p**(-19) assuming p is positive.\nAnswer: p**(-6121\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = 2*b - 5*b + 2*b. Let q(o) = o**2 + o - 1. Let p(l) = 8*l**2 + 4*l - 4. Let c = 8 + -12. Let h(i) = c*q(i) + p(i). Determine k(h(t)).\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*o**3 + 10*o**3 - 4*o**2 + 4*o**2.\nAnswer: 13*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 1, q: 2, l: 1}. What is prob of picking 1 r and 1 l?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 378, 2745, 8904, 20667, 39846, 68253, 107700?\nAnswer: 159999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = p**3 + 7*p**2 + 7*p + 10. Let q be i(-6). Let f(z) = -z + 5. Give f(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 727404 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -2230 - -2253. Suppose -9 = 4*u - 21. Solve d = -5*o + u for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (d - d + 2*d)*(0 + 0 + d) - d + 0*d - 6*d + 5*d**2.\nAnswer: 7*d**2 - 7*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = -3*y**3 - 5*y**2 + 7*y - 2. Let b be d(-3). Solve -2*w + b - 3 = 0, -3*v = -2*w + 22 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n - 10 = -18. Suppose -a + 3*g + 999 = 0, -n*g = 4*a + 753 - 4797. Suppose i - 13*i = -a. Does 14 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 72\/108 + (-127)\/(-3). Differentiate 74*h - 162*h + 83*h - r with respect to h.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4290694253 minus -108.9?\nAnswer: -4290694144.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor -464*n**3\/3 + 157759*n**2 - 40227780*n - 260100.\nAnswer: -(n - 510)**2*(464*n + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 14517 to the power of 1\/2, to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 2\/8 - 91\/(-4). Let t = j + -17. What is the lowest common multiple of t and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = 2 + 3*o - 4*o + 9 - 9. Determine x(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 793293?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 171\/28 - 13\/7. Let y = 7.2 + -7.2. Do y and n have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(68) - (-2 + (-1*sqrt(68) - sqrt(68))))**2 + 2 + sqrt(68) + 2 - (-1 + 5*(sqrt(68) + (2*sqrt(68) - sqrt(68)) + sqrt(68) + sqrt(68))).\nAnswer: -14*sqrt(17) + 621","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -12.6 - -13. Let w = -4 - -4.1. Which is the smallest value?  (a) k  (b) w  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) be the second derivative of w**8\/168 + w**4\/8 - w**2 + 4*w. Let i(k) be the first derivative of h(k). What is the second derivative of i(a) wrt a?\nAnswer: 40*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 + (2 - 1) - (8 - 2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = 8*z - 7*z. Let m be -1 + (2 - -54) - -3. Suppose 3*q - 272 = m. Calculate the greatest common factor of z and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 101 minutes before 10:44 AM?\nAnswer: 9:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n - g = -11, g = -5*n - 3*g + 11. Suppose 2*a - 9 = -n. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -3 + 3. Let h = -5 - -1. Which is the closest to 1?  (a) h  (b) 5  (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 51207840 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Divide 5080832 by -5696.\nAnswer: -892","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-7)\/(-4) + 1)*(-1200)\/(-12). Suppose -16*a + 21*a = -r. Let o = 180 + a. What is the greatest common factor of o and 50?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 10.2 + -6. Let n = 4 - f. Let u be ((-1)\/(-2))\/(-1)*2. Sort u, -8, n in descending order.\nAnswer: n, u, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -4 + 222?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 15, 46\/15, -4, -2\/9?\nAnswer: 46\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 + -2 + (1 - -4) + -4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n + 328 = -w + 1614, 6450 = 5*n + w. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -4.343 to one dp.\nAnswer: -4.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2430)*-2*-4)\/(2*sqrt(10)*-6*5).\nAnswer: -6*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -71.175 rounded to the nearest integer?\nAnswer: -71","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 10*o + 17*o + 27 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify w*w**(-2\/3)*w**5*(w*((w**(-3)\/w)\/w)\/w)**(-18) assuming w is positive.\nAnswer: w**(286\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -1\/2076, 3, 2\/5?\nAnswer: -1\/2076","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 15 - 13. Find the third derivative of 30*u**3 + 11*u**r + 6*u**2 + 2*u**3 - 2*u**2 wrt u.\nAnswer: 192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -21*u + 6*u + 382*u**2 - 16*u + 254*u**2.\nAnswer: 636*u**2 - 31*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from iiliyilvyvlyyyl. Give prob of sequence yvl.\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {a: 5, t: 3, d: 1, z: 1}. What is prob of sequence taaa?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) be the first derivative of 2*c**5 - 13*c + 15. Differentiate n(p) with respect to p.\nAnswer: 40*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/2, -2.9, 25.\nAnswer: -2.9, 1\/2, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 1\/(-15)*(-1 - -4). Let t = -191 + 192.07. Let n = t + -1. Which is the nearest to n?  (a) z  (b) 4  (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 1, 4, 59, 17 in decreasing order.\nAnswer: 59, 17, 4, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 41 minutes after 3:55 AM?\nAnswer: 4:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 16 - 12. Solve -i*d = 4 + 16 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = -7*j**2 + 8*j + 9. Let h(n) = -n**2 + n + 1. Determine -6*h(d) + s(d).\nAnswer: -d**2 + 2*d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {q: 1, i: 1, d: 1, s: 1, f: 5}. What is prob of sequence qds?\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 428 minutes before 1:46 AM?\nAnswer: 6:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2507.\nAnswer: 23, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 12 - 8. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 40 (base 15) in base 3?\nAnswer: 2020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 223 is divided by 119?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 16653085 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -37 + 144. Let d = l - 109. Let t be (-1)\/(-2) - 11\/2. What is the second biggest value in 3, t, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -406365 divided by -15?\nAnswer: 27091","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -5, 19, 16, 411 in increasing order.\nAnswer: -5, 2, 16, 19, 411","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 3*b - b + 10*b**3 + 7*b + 22*b**3 wrt b.\nAnswer: 192*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -217101 divided by 3\nAnswer: -72367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -42 + -10 - -55 - (-1 + 10) - (-5 + 0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = j**3 - 8*j**2 - 8*j - 4. Let p be f(9). Let o(m) = -m + 21. What is the lowest common multiple of 36 and o(p)?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 20791 and 799.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -64\/5, 3, -10\/13, -3\/2, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = -2*n - 0*n. Suppose 6*u - 12 = 3*u. Suppose u*g + 3 = -5. What is the second biggest value in n, 2\/5, g?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 1\/9*2\/(-2). Let l be (3 + (-2 - 5))*(4 + (-152)\/40). What is the closest to -2 in l, m, 1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 1, -3, -1\/3, -54, 0.2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 161088\/11 or 14643?\nAnswer: 14643","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = -b**2 + 9*b - 10. Let q be z(8). Let v(c) = -2*c - 1. Calculate v(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-4*sqrt(405)*-2 + sqrt(405) + sqrt(405))\/(sqrt(324) + (2*sqrt(324) - sqrt(324))))\/(sqrt(81) + 4*(1*sqrt(81) + sqrt(81) - sqrt(81)) - -1*sqrt(81)*1).\nAnswer: 5*sqrt(5)\/108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = 10*y**2 - 4*y - 13. Let d be x(-2). Let q be 4 + d - (-1 + 0). Solve 5*p - 13*p - q = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -4 in 1, 1\/4, -30, 5, -22?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 312*t = 235*t + 5082. Calculate the remainder when 222 is divided by t.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -3507, -3262, -2863, -2316, -1627, -802, 153?\n\"Answer: -j**3 + 83*j**2 + 3*j - 3592","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 13\/8 of a microgram in nanograms?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 75383946 is divided by 2566.\nAnswer: 2564","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3 + 40*u + 19*u - 81*u.\nAnswer: -22*u + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -25 - -25. Suppose n*j - 9 = 3*v + 2*j, 5*v + 3*j + 14 = 0. What is the units digit of 222*6\/(-9)*v - -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 220 and 385?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -2.4 - 7.6. Let v = -15 - f. Let j = -0.41 + 0.01. What is the nearest to -2\/5 in 4, v, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 7 - -4. Let w = 159 + -154. Is g smaller than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 7 - -50521?\nAnswer: 50528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1055109.8219332 - -0.01.\nAnswer: -1055109.8119332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-3)\/(-18))\/1)\/((-4)\/(-48)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = 2*d**2. Let u(f) = f**2 + 53. Calculate u(m(s)).\nAnswer: 4*s**4 + 53","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 11643*0.2.\nAnswer: 2328.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-1 + 0 + 0)*(0 + 0 - 3) + 18 - 3 - 8)*(-2*o**2 + o**2 + 2*o**2).\nAnswer: 10*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = s**3 - 5*s**2 + 3*s - 2. Let x be i(4). What is the remainder when (x\/18 + 1)\/((-4)\/(-222)) is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 63 and 21?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 1\/((-5)\/3) + 1. Let k = 2.1 - 2. Let x = -2\/27 + -23\/54. Which is the nearest to h?  (a) k  (b) -0.4  (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = -3*c + 523. Let x(w) = -7*w + 1049. Calculate -5*h(u) + 2*x(u).\nAnswer: u - 517","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -3, -15, -27?\n\"Answer: -12*x + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 8 and 184905728.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u - 4*h = -3, u - 4*h + 5 = -0*u. Let n be 3\/(-15) + 2\/15. Which is smaller: u or n?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -1.6081 and -4.\nAnswer: -5.6081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 8298495 a multiple of 261?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -9.1339 - -9.133785422. What is f rounded to 6 dps?\nAnswer: -0.000115","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.0276+-52239502\nAnswer: -52239502.0276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = -z**3 - 7*z**2 - 11*z + 5. Let a be h(-8). Let y = a - 1097\/7. Let t = 0.31 + -0.01. What is the closest to -2\/9 in y, t, -5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*v = 3*k - 6*k - 26, -5*v = -5*k - 30 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = 140*a - 54*a - 48*a - 47*a. Let s(o) = -o**2. Let c(n) = 12*n**2. Let l(r) = 2*c(r) + 22*s(r). Calculate z(l(m)).\nAnswer: -18*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-3)\/(-252)*-127 + 1\/4. Let r = m - -1\/21. Calculate the common denominator of 1\/2 and r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 2 + 0 + -1 + 0. Suppose 30*l = 18*l. Suppose l = 548*v - 547*v + 26. Put -2, v, x in descending order.\nAnswer: x, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 3}. What is prob of picking 2 p?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 195205, 195211, 195219, 195229, 195241, 195255, 195271?\n\"Answer: z**2 + 3*z + 195201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(-6)*t)\/(t\/((t**9*t)\/t))*t**(2\/11)\/(t\/(t*t*t\/(t*((t\/((t*t**7*t)\/t))\/t)\/t)*t)) assuming t is positive.\nAnswer: t**(156\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 3 and 50028?\nAnswer: 50028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = -6*q + 1. Determine v(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q = 6 - 18, -12 = -t - 4*q. Let m be (t + -4)*(-3)\/(-4). Let z be (-34)\/30 + (-2)\/m. Which is smaller: 1 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(170) + (sqrt(170) + (sqrt(170) - sqrt(170)*-2))*-1)\/((sqrt(50) + sqrt(50) + sqrt(50) + sqrt(1250))\/sqrt(5)).\nAnswer: -3*sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*p = z - 7, -z = -p + 2*z + 1 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -188*r = -206*r + 90 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 48\/408 - 1362\/17. Let b = -69 - q. Differentiate -b*h - 14*h - 119*h**4 + 19 + 121*h**4 wrt h.\nAnswer: 8*h**3 - 25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1183676 is divided by 480.\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -8 + (4 - 5) + 1 - 0 - -17?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 212 is divided by 187.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*k + 2*w - 4, -7 = -5*k - 5*w + 3. Suppose -3*l + 16 = 5*j, k*l + 2 = -4*l + 5*j. Suppose -l*s = s - 27. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 19574 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -360 - -324. Let k = n + 42. Let i(a) = -a**3 - 6*a**2 + 6*a - 5. Let b be i(-7). Solve k - 2 = b*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 722.5033 weeks?\nAnswer: 7282833.264","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 16591.16 millennia?\nAnswer: 16591160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -346 + 346. Let w(c) be the first derivative of o*c - 4 - 1\/3*c**3 - 1\/2*c**2. Let w(u) = 0. What is u?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = -t**3 - 27*t**2 - 170*t + 1. Let g be u(-10). Solve 37*y - g = 73 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3729569 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 49*m - 3686476 = -90*m - 33*m. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = 2*f + 17. Let a be g(-7). Suppose -3*h + 142 = v, -41 + 487 = a*v - h. List the prime factors of v.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**4)**(14\/11)*(v*v\/((v*v*v*v**2)\/v))\/(v\/(v*v**(1\/4))) assuming v is positive.\nAnswer: v**(147\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1477 + 1477. Solve -4*l - 20 = 0, -19 = 2*s - j*s + 3*l for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(165)\/(-2*sqrt(180)))\/(sqrt(88)\/(sqrt(16)\/(sqrt(50) - sqrt(2)))).\nAnswer: -sqrt(3)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 143 (base 15) to base 2.\nAnswer: 100100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) 2  (b) -243  (c) 0.023  (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 134 * 42\nAnswer: 5628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x*x**(-1\/7)\/x)\/(x**(3\/10)\/x*x))**(4\/17) assuming x is positive.\nAnswer: x**(-62\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (5*(-14)\/490)\/(2*(-3)\/63).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = j**3 - 4*j**2 - j - 8. Let r(o) = -5*o**3 + 19*o**2 + 5*o + 40. Let q(m) = -11*p(m) - 2*r(m). Let k be (-10)\/15 + (-40)\/(-6). Give q(k).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/3?  (a) 0.9  (b) -3  (c) -8\/11  (d) 17\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put -6, 1363, 4 in ascending order.\nAnswer: -6, 4, 1363","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -4\/7, 301.1, -0.5, -10?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 17 + 4. Round u to the nearest integer.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -44701800 divided by 24?\nAnswer: -1862575","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 390144 is divided by 90?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j - 44 = 516. Calculate the greatest common divisor of 7 and j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = 4*s - 5. Let n be l(2). Let u be 20\/n + 1\/3. Let c(p) = -p**3 + 6*p**2 + 7*p + 4. Let m be c(u). Solve i + 6 = -5*j + 3*i, -m*j - 3*i - 14 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2 - -18) + (141 - 146).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 71829.81mg in grams?\nAnswer: 71.82981","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -101449, -101457, -101467, -101479, -101493, -101509?\n\"Answer: -a**2 - 5*a - 101443","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 812 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 26, -1, 6, 0.21 in increasing order.\nAnswer: -4, -1, 0.21, 6, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 600129?\nAnswer: 3, 31, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -275\/2 - -128. Let v(k) = -k**3 + k**2 - k - 151. Let u be v(0). What is the common denominator of l and (u\/(-15))\/(56\/70)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a + 5 = -0. Suppose 11 - 9 = d. Let s(b) = -b - 2*b**2 + b**d - 2 + 7*b + 2*b**2. Give s(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3103201 (base 4) to base 7.\nAnswer: -54316","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 42 + -42. Suppose -18 = -4*j + 5*q, i = -5*j + 4*q + 19 - 1. Suppose -2*l + 105 = -5*u, 0 = j*l + 2*u - 0*u - 84. What are the prime factors of l?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 66425692439 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1000011 + -110?\nAnswer: 111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4890 is divided by 1988.\nAnswer: 914","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -188  (b) 0  (c) -2\/7  (d) -2\/11  (e) 29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = 1997*m + 4689. Is w(0) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = -h**3 - h**2 - 8*h - 4. Let a be i(-5). What is the greatest common divisor of 51 and a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 55.8 - 60. Let b = 4 + v. Let g = 0.2 + -0.3. Sort g, 0.4, b.\nAnswer: b, g, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 4.054 - 0.054. Let p = 6 - u. Suppose 0 = -2*x + w - 0 - 2, 0 = -5*x - 2*w - 23. Put p, x, 0.4 in increasing order.\nAnswer: x, 0.4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.31534nm to kilometers.\nAnswer: 0.00000000000031534","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 2\/9, 8\/97, 4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1 by 34873621.\nAnswer: -1\/34873621","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 105 and 987?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = 19*p**4 + 10*p**3 - 11*p**2 - 14*p - 4. Let s(g) = 20*g**4 + 10*g**3 - 10*g**2 - 15*g - 5. Let y(b) = -5*o(b) + 4*s(b). Factor y(n).\nAnswer: -5*n*(n - 1)*(n + 1)*(3*n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 37\/5 of a hour in seconds?\nAnswer: 26640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*y + 2*y + 4*s - 15, -2*y - 3*s - 1 = 0. Does 7 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 934 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = 26*o + 17. Let r(w) = -9*w - 6. Let z(d) = 6*q(d) + 17*r(d). Let a(j) = -3*j. Determine 5*a(l) + 4*z(l).\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 5600  (b) 4  (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = 2 + g + 0 - 1 - 2. Let j be x(6). Suppose 0 = j*i - 3 - 7. Is i at least 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-7 + -1)\/(-13 + -1). Which is the nearest to 13?  (a) 0  (b) m  (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -50 + 46. Let t = 43 + -31. Calculate the remainder when (15 - d - -3) + 0 is divided by t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 <= -21\/114508?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -6 + -361?\nAnswer: -367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 403 + -193. Suppose d + 182 = -7*y. Let w = -26 - y. Solve 0 = 4*s - 7*s - 4*f + 11, 0 = 5*s - 5*f - w for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 112 = -244*t + 188*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let -160*b**4 - 7365*b**3 - 21190*b**2 - 14415*b - 430 = 0. What is b?\nAnswer: -43, -2, -1, -1\/32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Total of -66976 and -542994.\nAnswer: -609970","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-5 - -3 - (-4 - -5)) + 8 + -2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 16369 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*m - 5*m = 24. Suppose 15 = 9*g - m. Which is the second smallest value?  (a) 1\/6  (b) 4  (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 390566 is divided by 32.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*d**2 + 0*d**2 + 8 - 8 + 0.\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 79345?\nAnswer: 5, 7, 2267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 295131?\nAnswer: 3, 98377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = -s - 1. Calculate c(8).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 520 minutes before 3:02 AM?\nAnswer: 6:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-9)\/(-60))\/((-14)\/448*12).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put together -13144 and 6.56.\nAnswer: -13137.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*b - 5*u - 70 = 0, 21708*b = 21709*b - 0*u - 3*u + 26 for b.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -184, -163, -142, -121?\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is eighteen sevenths of a week in hours?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 15582151 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 290 = 5*p - 720. Let j = p - 141. Is j a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*c*j**2*t*u + 2*c*j**2*t - 5*c*j**2*u - 3*c*j*t*u + 3*c*j*t - 36*j**2 - 7*j*t*u + 78 wrt j.\nAnswer: 4*c*t*u + 4*c*t - 10*c*u - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zvziz. Give prob of picking 1 z and 1 i.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1480)\/360 - (15 - 3)\/(-3)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 1 - 3)*(55*w**2 - 55*w**2 - w**3).\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Divide -146695089 by 4.\nAnswer: -146695089\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 684540 to the nearest integer?\nAnswer: 827","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = -564*c**2 + 87*c - 32*c + 0*c**3 - 3*c**3 + 536*c**2 - 75 + 4*c**3. Give o(26).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.2 minus 0.0539?\nAnswer: -0.2539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:13 PM and 4:51 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:13 AM and 8:08 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is j in j**3\/2 + 51*j**2 - 4491*j\/2 - 65016 = 0?\nAnswer: -129, -21, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = -f + 4. Determine p(-9).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = -3*a**3 + 2*a**2 - 1. Let z(k) = -k - 1. Let j be z(-3). What is g(j)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -3 + -24500303423?\nAnswer: -24500303430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = k**2 - 15*k + 2. Let u be v(15). Let r(a) = -6*a**3 + 2*a + 1. Let g be r(-1). Suppose u*x = 35 + g. Calculate the remainder when 99 is divided by x.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7102 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 488965.1 millimeters?\nAnswer: 48896.51","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(1377) + sqrt(1377))**2*6.\nAnswer: 8262","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 179119.\nAnswer: 179119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -u + 2*a - 7, -4*a + 7 = 5*u - 0. Let w be (u + 3)*50\/(-80). What is the smallest value in 1\/7, -3, w, 0.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*i**2 - 112776*i + 7317765.\nAnswer: 3*(i - 37527)*(i - 65)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = -3*l**3 + 8*l. Let q(n) = n**3 + 1. Calculate q(t) - w(t).\nAnswer: 4*t**3 - 8*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = p**2 - 6*p + 4. Suppose -4*z = z. Let h = 3 + z. Give w(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 (base 10) in base 12?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) be the first derivative of -2*c**2 - 20 + 25*c + 5\/3*c**3 - 1\/12*c**4. Let n(z) be the first derivative of g(z). What is n(9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = -2*u**2 + 13*u - 15. Let r be 1 + 9 + (-272 - -268). Give i(r).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 46571516?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 774767133 to the power of 1\/2, to the nearest integer?\nAnswer: 27835","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 2\/405265 or 0?\nAnswer: 2\/405265","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -512 + 515. Solve -g*m - 2*k + 23 - 3 = 0, 2*m - 12 = -k for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -0.5, -3\/2, -4, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2656425 (base 7) to base 2.\nAnswer: -1010101100011010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 0 + 1631305?\nAnswer: 1631305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -59\/21 and 22\/133.\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 810885660 - 0.0369?\nAnswer: 810885659.9631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = -d + 9. Let l be u(7). Let b(i) = 4*i**l + 2 - 3*i**2 + 4 + 4*i. Is b(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1973 times 926?\nAnswer: -182.6998","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 22 and 18.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -134310+0.0598306726\nAnswer: -134309.9401693274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = -y**2 - 15*y + 35. Determine r(-15).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 258 and 903.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 + 17 + (13 - (-22 + 32)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 43\/1701 and 37\/837.\nAnswer: 52731","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r**4\/9 - 128*r**3 + 174848*r**2\/9 - 286720*r + 10035200\/9 = 0. Calculate r.\nAnswer: 8, 280","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (35\/70)\/(((-9)\/(-2))\/(-3)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (1392\/928)\/(9348\/67) and 53\/8?\nAnswer: 6232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 53532001 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -2529 + 3729. What are the prime factors of f?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 9609?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 71\/120 and -65\/88.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7452327?\nAnswer: 3, 2484109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = 9*z + 50. Calculate y(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -2 - (-2 + 0 + (-1 - -1))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = j - 5. Let w be b(-3). Let a(v) = v**2 + 4*v - 24. Let h be a(w). Let r = 38 + h. What is the remainder when r is divided by 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 343?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -191 + 187. Sort 0.3, -2\/11, q, -3\/2 in descending order.\nAnswer: 0.3, -2\/11, -3\/2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = -s**2 + 6*s - 5. Give m(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is nine tenths of a kilometer in meters?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 47\/797225 and -42\/172825.\nAnswer: 24713975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -17\/2 in -5, -0.083, -1\/11?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -136, 0.02, 23346?\nAnswer: 23346","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = 15*g**3 - 4*g + 4. Let f(i) = -76*i**3 + 19*i - 19. What is 19*c(u) + 4*f(u)?\nAnswer: -19*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**7*(v*v*v\/(v\/(v**(1\/10)*v))*v*v)\/v)**(-1\/9) assuming v is positive.\nAnswer: v**(-37\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2695065 by -6.\nAnswer: -898355\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 48928863?\nAnswer: 3, 16309621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 13311 is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 1267613 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express 1327*t + 1164*t - 114*t as s*t + i and give s.\nAnswer: 2377","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 58adb4d + 2?\nAnswer: 58adb50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert 19215 (base 12) to base 6.\nAnswer: 441225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3619 = 2*j + 3*j + 3*i, 5*i = -j + 715. Let g = -579 + j. What are the prime factors of g?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 351132951 bigger than 351132951?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 476 and -2007?\nAnswer: -955332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put -7, 0.4, 2 in decreasing order.\nAnswer: 2, 0.4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7602663*a**2 + 4086260*a**2 - 3845331*a**2.\nAnswer: -7361734*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify j*j**11*j**(-2) assuming j is positive.\nAnswer: j**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = -q + 10. Let o be g(8). Suppose -2*l = -2 - o. Let n(b) = -2*b**l + 2*b**2 - b**2. Let z(d) = -4*d. What is n(z(v))?\nAnswer: -16*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 6d2a8a (base 14) to base 12\nAnswer: 1300a02","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = -w + 50. Let t be v(-5). Suppose -9*j - 19 + t = 0. Solve -j*h = -8*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -9.14078 + 0.2.\nAnswer: -8.94078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1.04 + -0.04. Let f = -7.4 - -5.1. Let t = f - -0.3. What is the closest to 0 in b, t, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3570047 (base 9) to base 12\nAnswer: -79412a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-738)\/(-2) - 9\/((-63)\/(-35)). Let x be 428\/t + 1 + 6\/21. Suppose 0*g - 6\/13*g**4 + 32\/13 + x*g**3 - 48\/13*g**2 = 0. Calculate g.\nAnswer: -2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8.261479 millimeters in meters?\nAnswer: 0.008261479","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -100 + 3?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = 2*k**3 + 30*k**2 - 31*k + 26. Let u be o(-16). Let t be u\/15*9\/4*16. Solve 0 = 5*n + 4 - t for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -17067 - 4631 = 606*t + 536*t for t.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 313 minutes before 5:39 PM?\nAnswer: 12:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = 2*j**4 - 34*j**3 + 11*j**2 + 7. Let w(g) = g**4 - 23*g**3 + 7*g**2 + 5. Let d = 20 + -15. Let s(l) = d*h(l) - 7*w(l). Factor s(y).\nAnswer: 3*y**2*(y - 2)*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) be the second derivative of -j**4\/12 + 8*j**3\/3 - 7*j**2 + 3*j. Let z be v(15). What is the units digit of (-98)\/(-10) + z\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1137999 is divided by 377?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express 2 + 77325*a**2 - 77325*a**2 - 4*a + 9*a**4 + 2*a**3 in the form u*a**3 + q*a + z*a**2 + s*a**4 + r and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = -v**2 + 18*v - 14. Let c be q(17). Which is smaller: c or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*v**3 + 0*v**3 + 2*v**5 + (-v**3 + 5*v**3 - 2*v**3)*(v**2 - 2*v**2 + 0*v**2) + 27*v**5 + 0*v**5 - 2*v**5 - 99*v**5 + 42*v**5 + 96*v**5.\nAnswer: 64*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/7, -1\/7, 145, 2, -2.\nAnswer: -2, -1\/7, 2\/7, 2, 145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = 7*o**2 + o + 1. Let i be z(-3). Let b = -145 + i. Let x = b + 96. Sort x, 1, 3 in decreasing order.\nAnswer: x, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 299 = -11*t + 34*t. Suppose t*l = -2*l + 3645. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = j - 6. Let w be m(10). Solve 8*q + 17 = -l + 3*q, -w*q - 2 = -5*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000007704543 rounded to 7 decimal places?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round 1984.7462 to the nearest 10.\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.2 in -3, -5, 0.02, -2.1?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 6}. What is prob of picking 3 b?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 3210 and 48229822?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = -71*c - 241. Let q(r) = -37*r - 122. Calculate 7*q(v) - 4*t(v).\nAnswer: 25*v + 110","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {q: 2, v: 2, k: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 246 = 2*w - 370. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (39 - 39 + 10*n**2)*(0 + 0*n - 2 - n).\nAnswer: -10*n**3 - 20*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 642317\/416856 + 14\/17369. Let m = -5771\/12090 - 36\/403. What is the common denominator of m and b?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 94562 to the power of 1\/4, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 7548.773 millennia in years?\nAnswer: 7548773","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = 7*h - 4. Suppose -3 = -a + 3. Calculate u(a).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 359\/12 >= 11\/29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert 156864.3 seconds to microseconds.\nAnswer: 156864300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 947 + -1328. Is (-3)\/4*(-23 + j) a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 489 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2482.\nAnswer: 2, 17, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = n**3 - n**2 - n - 1. Let w be o(-1). Let v be (0 + 318\/102 + -1)*(-6)\/18. Which is greater: v or w?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -130?  (a) -1  (b) -30  (c) -4\/49\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:52 PM and 12:12 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -34*y**3 + 386 - 386.\nAnswer: -34*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1853 + 1855. Solve 2*g - c - 20 = -g, -4*c - 30 = -m*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide (-41402)\/(-635) - (18\/(-10) + 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*h - 3*z + 54 = 0, -4*h + 5*z + 235 = 177 for h.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*r - 16*r + 72 = 7 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in three fifths of a decade?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 103*n**2*s**3 - 3*n**2*s + 8*n*s wrt s?\nAnswer: 618*n**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1633304.\nAnswer: 2, 204163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 10*n - 28 - 22. Solve -t - 3*z - 7 = -2, -t + n*z = -3 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 1411 + -2?\nAnswer: 140a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 2 - 2211244312?\nAnswer: -2211244310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -281*r + 285*r - 108. Is r a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/28, -1\/2, -6611.8 in decreasing order.\nAnswer: 1\/28, -1\/2, -6611.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 174 + -191 - (-3 - 0).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = -7*i + 51. Let q be s(7). Let k(f) = 5*f**3 + 9*f**2 - 4*f - 5. Let u(x) = 2*x**3 + 4*x**2 - 2*x - 2. Let j(m) = -3*k(m) + 7*u(m). Determine j(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 1\/20 of a hour?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = -44*o**2 + 122*o + 2326. Determine r(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2987 divided by -4.\nAnswer: 2987\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w + 27*h - 1 = 30*h, 0 = 4*w + 2*h - 2. What is the remainder when 11 is divided by w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -30*j + 5*i = -34*j - 45, 0 = -j - i - 10 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 3475*d**2*t**2 + 22599*d*t**2 - 176530*t**2 - 94*t + 4 wrt d.\nAnswer: 6950*d*t**2 + 22599*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = 8*a - 7. Let t(z) = 17*z - 15. Let o(m) = -5*f(m) + 2*t(m). Let k be ((-6)\/15)\/((-1)\/(-20)). What is the units digit of o(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 89 = 2*p + 5*n, -5*p - 4*n + 22 = -192. What is the greatest common divisor of 14 and p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -9, -1\/4, -0.43.\nAnswer: -9, -0.43, -1\/4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 0.1097094nm?\nAnswer: 0.0001097094","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 16\/(-6)*(-9)\/(-4). Let x = t - -8. Suppose -x*p = -0*p - 4. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*n + 28244 - 28242 = -2*t, 42*t = 15*t - 81 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m = 2*j - 26, -4*m + 3*j + 0 + 1 = 0. Let t = -7 + 7. Suppose -b + 2*l + 10 - 8 = 0, -5*l = b - 37. Solve t*i + b = m*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -2539 - -2541. Solve 6*k - u + 6 = k, -h*u = -2 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13907559 to the power of 1\/6, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 39, 177 in decreasing order.\nAnswer: 177, 39, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 36411 times 2?\nAnswer: 72822","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = -22*i + 35. Is q(-21) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = 7*l**3 + 11*l**2 + 7*l + 3. Let f(o) = -o**3 - o**2 - o - 1. Let x(k) = 6*f(k) + r(k). Let p be 2\/3 + 69\/(-9). Let i = p - -2. What is x(i)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 2486, 2482, 2466, 2432, 2374, 2286, 2162, 1996?\n\"Answer: -u**3 + 3*u + 2484","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide 2918033052?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 10020221102210 (base 3) to base 7\nAnswer: 20466354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = -20*m**2. Let j(q) be the second derivative of 229*q**4\/6 - 4954*q. Determine d(j(k)).\nAnswer: -4195280*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 34 + -19 + 3\/(-1). Solve 3*l = 9, -2*x - 5*l = -19 + i for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -13 times 0.09?\nAnswer: -1.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 829 is divided by 202.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 5*((-33)\/44)\/((-10)\/(-8))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = s**2 - 17*s - 59. Give d(-9).\nAnswer: 175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4929757763?\nAnswer: 7, 29, 79, 307399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -17399 + 17399. Let z(o) = o**2 - 7*o + 13. Give z(l).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -23 + 6*r - 13*r + 7*r - 12*r**4 wrt r.\nAnswer: -48*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m - 5*t - 6 + 29 = 0, 3*m - 2*t - 82 = 0. Calculate the remainder when 92 is divided by m.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4583 a factor of 498218677?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 12002043 (base 5) in base 3?\nAnswer: 12120102001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*y - 3*y - y)*(-8 + 3 + 2) - y + 0 + 0 + 1 - 2 + 2 - 3*y.\nAnswer: -7*y + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 152 minutes before 10:13 AM?\nAnswer: 7:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = -33*g**2. Let z(o) be the third derivative of 0*o**3 + 45*o + 0 - 2*o**2 - 1\/20*o**5 + 0*o**4. Determine z(c(i)).\nAnswer: -3267*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 0\/(-2)*(40\/4)\/20. Solve -5*w = -5*l + 35, k = -0*w - 2*w + 5*l - 20 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -437, -467, -497?\nAnswer: -527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c - 6 = -0*c. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1438 - -157. Let i = c + 3074. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1052533 is divided by 29237?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put 8, 5, 3, 1\/3, 2.756 in decreasing order.\nAnswer: 8, 5, 3, 2.756, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = 5*l, -305*k = -307*k - 2*l + 974. What is the greatest common divisor of 10 and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -13?  (a) 1.027  (b) 3\/2  (c) 35\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2309788, 2309746, 2309648, 2309470, 2309188, 2308778, 2308216?\nAnswer: 2307478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1190223049 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put -21, 75, 3 in decreasing order.\nAnswer: 75, 3, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from {e: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-10 + 1 - -4) + 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = -2*i - 4. Let w be q(-6). Which is smaller: 6 or w?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 10 - 7. Let v(n) be the second derivative of -1\/6*n**l + 0 + n + n**2. What is the derivative of v(a) wrt a?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from jgegjjgjjjje. Give prob of picking 2 j and 1 g.\nAnswer: 63\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 62 at most 1099\/18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = -7*b. Let t = 30251 - 30108. Let x(f) be the second derivative of -169*f**3\/6 + 3*f. Give t*l(g) - 6*x(g).\nAnswer: 13*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = -2*i**2 - 3*i + 1. Let b(m) = m**3 - m**2 - m - 3. Let p be b(0). Let j(o) = 0*o**2 + o**2 + 3 + o + 8 - 12. Give p*j(q) - v(q).\nAnswer: -q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put 29, -1\/11, -0.1, 0, -3 in increasing order.\nAnswer: -3, -0.1, -1\/11, 0, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is (-1)\/(-6) + (-955)\/(-30) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -319 divided by 17?\nAnswer: -319\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert 54442241 (base 6) to base 12.\nAnswer: 663381","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 - -149 - (14695 + -14639).\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or 20\/55658631?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1 - 9) + -18 + 21.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 27\/670 and -103\/15598?\nAnswer: 5225330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -2 + 1a?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = -h**2 - 7*h + 4. Let r be (-2)\/(-27) - (-1960)\/(-216). Determine f(r).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -521.6 and 0.\nAnswer: -521.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -27985*w + 27985*w + 5*w**3.\nAnswer: 5*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is (-6 - -2) + -2 + 2 - -6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 579 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = -16*i - 90. Let x(m) = 539*m + 2970. Let j(p) = 33*s(p) + x(p). Let k(z) = 3*z**2 + 4*z**2 + z**2. Give j(k(h)).\nAnswer: 88*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v - 34 - 78 = 0. Let c be v\/(-8) - 9\/(-6). Solve s + 2*n + 6 + 1 = 0, 0 = c*s - n - 9 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = r**3 + 3*r**2 + 3. Let q be g(-3). Suppose -2*c - 20 = -5*u - 0*u, c - 1 = -q*u. Factor 0 - 8*i**2 - 10*i**u + 2.\nAnswer: -2*(3*i - 1)*(3*i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*i + 17*i = 24. Suppose -i*m - 12 = -36. Suppose -10 = u - 0*s - s, -m*s + 46 = -5*u. Let x(p) = -2*p - 2. Determine x(u).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s**1*s)**47)**35*((s\/s**(-1\/3))\/s)**(2\/13)*((s**(-2)*s)\/s)**(21\/4) assuming s is positive.\nAnswer: s**(255805\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 0 - 3)*(0*a**2 + a**2 - 2*a**2) + (1 + 1 - 4)*(-2*a**2 - 1 + 1) + 2*a**2 - 5*a**2 + 2*a**2.\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -0.4 times 13288\nAnswer: -5315.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -54174769289\/104640 + 33134739\/64. Let k = 5\/436 + s. What is the common denominator of ((-36)\/(-50))\/((-252)\/120) and k?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3)\/(2\/(24\/4)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5152451\/(-5090745) - (8\/(-6) - 2\/(-6)).\nAnswer: -2\/165","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 97 (base 15) to base 11\nAnswer: 11a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -827500 rounded to the nearest 10000?\nAnswer: -830000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.399 - 161.601. Let h = q + 161.9991. Round h to 3 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -4 + 6. Suppose 0 = -i*s + s. What is the nearest to s in 3, 0.5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 158138519*z - 158138519*z + 2420 - 2420 + 4*z**3.\nAnswer: 4*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -4 - -9. Let x(m) = 6*m + 5. Calculate the remainder when x(a) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0.04298562 and -1.0128799.\nAnswer: -0.96989428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j + 19 = 13. Let y(v) = -3 + 2 + 115*v**2 - 114*v**j. Let x(m) = -10*m**3 + 20*m**2 + 2*m - 12. Let t(o) = -2*x(o) + 12*y(o). Solve t(p) = 0 for p.\nAnswer: -3\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((3*(1 + sqrt(2880)))**2 + -1)*-5.\nAnswer: -129640 - 2160*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -2073471.5621715799939 - 0.0374584200061. Let o = -2073481 - w. Let x = 9.4 + o. What is x rounded to four decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 74 a factor of 919?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (9 - (-3 - -8)) + 13. Let l = 21 - b. Solve 0 = l*q - q - 9 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -11585 + 11589. Let w(o) be the first derivative of 0*o**3 - 23\/4*o**m + 0*o**2 + 4*o - 26. What is the first derivative of w(k) wrt k?\nAnswer: -69*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -25 + (-45 - -73 - 42) - (1 + -1 - -3)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2405830 to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -597944 (base 13) in base 7?\nAnswer: -24052166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((2\/(-33))\/((-4)\/44))\/((-954)\/54).\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r + 55 = u - 4*u, 0 = 2*u - 5*r - 5. Is u\/(-18)*12*(-156)\/(-5) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4 - (-7 + 3 + 3)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 96633831?\nAnswer: 3, 7, 17, 38669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve s = 4*g + 5*g - 2*g - 3*g - 185, 0 = -0*s + 4*s + 20 for g.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -23947*q + 108 = -23956*q for q.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 479582*s + 17*s**2 - 479582*s.\nAnswer: 17*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:40 PM and 10:01 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) be the first derivative of 1\/4*u**4 + 0*u + 0*u**2 + 262 - 8*u**3. Determine n so that h(n) = 0.\nAnswer: 0, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-20)\/(-60)*60\/(-2) + 2.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/2 in 0.485, 0.3, 5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -1.56  (b) -1  (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -53 (base 10) to base 7\nAnswer: -104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = 11*a**2 + 100*a + 13. Let p be o(-9). Solve 4*u = -p - 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -4506 (base 7) to base 6.\nAnswer: -11303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 67\/3618*351*-10.\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a = -7 - 3. Let i be 3 - ((-80)\/(-6))\/a. Let g = 15\/2 - 7. Is g at most as big as i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 8779?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-36)\/(-135))\/(2\/(-3))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3049565?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:58 PM and 2:32 AM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 389*a - 27347 = 990*a + 588*a for a.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = -1 + 0 - 1. Let b = -12 + 30. Suppose -17*l = -b*l + 3. Let h(s) = -s - 3. Determine l*n(d) - 2*h(d).\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Determine s so that 0 - 3\/10*s**2 + 0*s - 1\/2*s**4 + 1\/10*s**5 + 7\/10*s**3 = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -168 - -107. Let i = d + 96. Let h = i - 13. Is 11 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t = 5*l + 254 - 935, 0 = 4*l - 5*t - 594. What is the greatest common factor of l and 94?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 6  (b) -2\/9  (c) 0  (d) -156485\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = 2575*z - 2051. Let u(v) = -v - 13. Let d(a) = -q(a) - 6*u(a). What is the first derivative of d(h) wrt h?\nAnswer: -2569","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 181352943.2 from 5839.\nAnswer: -181347104.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 324228?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Divide 50827636 by 4.\nAnswer: 12706909","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 4\/(-6) + 56\/120. Suppose -v = 4 - 0. Let t be 3*v\/84*1. Which is the biggest value?  (a) t  (b) g  (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 134773 is divided by 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find v, given that 3*v**2 + 816*v + 55488 = 0.\nAnswer: -136","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = -1 - 2 + 3 - 1. Let q(n) = -51*n - 24. Let h(y) = 4*l(y) - q(y). Is h(9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is three tenths of a kilometer in centimeters?\nAnswer: 30000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 4, e: 6, d: 2}. Give prob of picking 2 i and 1 e.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -0.0461017 and 73?\nAnswer: 73.0461017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 1174.4517 rounded to 1 decimal place?\nAnswer: 1174.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 + -2 + 37 + (-25 - 24).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -66 + 82. Let r = 231 + m. List the prime factors of r.\nAnswer: 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 divided by -93346530.\nAnswer: 1\/31115510","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 n and 2 r when three letters picked without replacement from wrmrrrnzvnrrrzzr.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = -r**3 - 3*r**2 - 2*r - 4. Let n be t(-3). Suppose -n*b + 4*b - 102 = 0. What is the highest common divisor of 34 and b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 18051*x**3 + 34622*x**2 wrt x?\nAnswer: 108306","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 141 a factor of 394631?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = p**2 - 2*p - 3. Suppose -3*t + 28 - 1 = 0. Let y be 6\/t - 20\/(-6). What is the units digit of v(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 27905?  (a) -0.1  (b) -56  (c) -0.5  (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -15 (base 8) to base 16\nAnswer: -d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Determine c so that -3*c**4\/4 + 199221*c**3\/4 + 5779347*c**2\/4 + 38865735*c\/4 - 11211075 = 0.\nAnswer: -15, 1, 66436","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -10000010010101100 (base 2) in base 9?\nAnswer: -111476","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -5\/1694  (b) 2  (c) 1109\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 2, h: 6}. What is prob of picking 1 x and 2 h?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from phhpphphpohphopmppmp. What is prob of sequence oh?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l = l - 2. Let v(c) = 3*c**2 - c + 2. Let y be v(1). Let f(m) = -213*m + y - 210*m + 421*m. Let p(o) = -o + 1. Calculate l*p(n) + f(n).\nAnswer: -n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 175 + -170. What is the third biggest value in -101, o, -6\/5?\nAnswer: -101","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 2, k: 1, d: 4, z: 1, x: 3}. What is prob of picking 1 p and 1 k?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -22*y + 107*y + 14*y - 1188 = 0 for y.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 57\/2 of a millimeter in micrometers?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = 51*k - 2. Let b(a) = -8*a. Determine b(d(c)).\nAnswer: -408*c + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -73*a + 3825 = 2*a. What is the remainder when 121 is divided by a?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4207350 divided by 25.\nAnswer: 168294","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 158210664*c*j**2 + 3*j**2 + 149*j - 46666 wrt c?\nAnswer: 158210664*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -5, -1\/34, -16\/5, -4\/5 in descending order.\nAnswer: 2, -1\/34, -4\/5, -16\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 13638.57642 seconds in weeks?\nAnswer: 0.02255055625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -8 + 8. Suppose 4*i - i = r. Factor -2 - 2*z**3 - 6*z**2 + 0*z + i - 6*z.\nAnswer: -2*(z + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (8\/10)\/(-4)*(-15)\/6.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n - 7*n - l + 9 = 0, -5*n = 5*l - 15. Let s(u) = -2*u + 5*u + 3*u + n*u. Let o(j) = -j. Let v = 14 + -8. Determine v*o(p) + s(p).\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.1 + -0.2. Suppose -3*s - 12 = s. Let a be -6*s\/9 - 6. Put a, w, 0.3 in descending order.\nAnswer: 0.3, w, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h - 25 = 2*h, 2*q - 727 = -5*h. Is q a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 73*l = 371 + 724. Solve o - 4*o - l = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from mmmmmmvmv. What is prob of picking 1 m and 1 v?\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.1, -11, 1346?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = -3*t**2 - 5*t**2 - t**2 + 2*t**2 - 5. Let b be y(-3). Let s = b - -116. Is s a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 - 7 = -4*t. Suppose 2 = -t*k + 2*k. Let w(v) = -3*v**2 + v + 3. Let x(n) = -11*n**2 + 4*n + 13. Let m(f) = -9*w(f) + 2*x(f). Calculate m(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (2\/(-3))\/((-398)\/(-2587)). What is the nearest to z in -1.3, -5, -1\/3, 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 461611818?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -7 - (-14 + (10 - 2))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-4)\/2 - 2*123\/(-6))*(-500)\/(-375)?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in -0.086, -2\/5, 1?\nAnswer: -0.086","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 10 - 16. Let d(h) = 5 + 8*h + 12*h**2 + h**3 - 5*h**2 - 3*h. Is d(x) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -0.22 and 375.\nAnswer: 374.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -105*g**5 - 81*g**2.\nAnswer: -6300*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = 2*a + 1. Calculate s(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 54432311 to the nearest integer?\nAnswer: 7378","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 253 is divided by 69?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x + n = 0, x + 4 = -3*x + 3*n. Suppose -68 = -4*l + 4*b, l - 41 = -3*l - 5*b. Suppose l = 5*f - 3*f. Solve -f*h = -x*h - 25 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 24\/((-4)\/(-16)*6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = -d**3 - 11*d**2 - 16*d - 35. Let x be (10 - (-119)\/(-14))\/((-285)\/(-100) - 3). Determine z(x).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 20 and 16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = x**3 + 12*x**2 + 10*x - 3. Suppose -103*r + 66 = -109*r. Give y(r).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.38, -4, 2 in increasing order.\nAnswer: -4, 0.38, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 76*p - 21*p = 110 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 18 - 28. Let v be 4*3\/30 - (-13 - -13). Which is the biggest value?  (a) 0.1  (b) v  (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -48 in 123, 13\/5, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -49 = -2*g + 33*k, -2*g + 176 - 171 = -g + 3*k for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 24\/(-60)*30 - (-2 - -2).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.59717425 rounded to one dp?\nAnswer: 3.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3007219226 to the nearest integer?\nAnswer: 54838","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = b**3 - 6*b**2 - 7*b + 2. Let v be a(7). Suppose 5*m - v*m - 2019 = 0. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 208, 210, 212, 214?\nAnswer: 216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -5 + 7. Suppose r - v = -1, -4 = r - 6*r + w*v. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-80)\/(-24) + -3 + 0. What is the second smallest value in b, -5, 5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = 256*h - 530*h + 263*h. Let i(d) = 151*d**2 - 1. What is i(r(y))?\nAnswer: 18271*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from byiblsbsis. What is prob of picking 1 i, 1 b, and 2 s?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 6*((-7)\/(-2) - 3). Suppose -u*w + 3 = -6*w. Let m(j) = -2*j**3 - 2*j**2 - 2*j - 1. Calculate m(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1024 (base 5) to base 4.\nAnswer: -2023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 193 is divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 3, b: 2, d: 12}. What is prob of sequence bx?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = -i + 1. Suppose 2*q - 10 = -2*c, 5*c - 3*c - 5*q + 25 = 0. Suppose -o + 5*u = 16 + 13, c = 4*o - u + 59. Let h = -14 - o. Determine n(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2433*j - 2470*j. Let k = 1\/245 - -718\/4165. Which is smaller: j or k?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = 12*h - 22. Let r(m) = -4*m + 7. Let a(v) = -16*r(v) - 5*x(v). Calculate the remainder when 25 is divided by a(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5*0.02442\nAnswer: 0.1221","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = 3*j**2 + 20*j + 32. Suppose -9*h - 9*h = -4*h + 70. Give y(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -64, -181, -376, -649, -1000, -1429, -1936?\n\"Answer: -39*f**2 - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (10 - 10 + 6*l**3)*(-3 + 0 + 2) + (-3 + 3 - 4*l)*(-2*l**2 - 2*l + 2*l).\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = -0*s + 2*s - b, -2*s + 3*b + 15 = 0. Let x(q) be the first derivative of -q**4\/4 + 2*q**3\/3 + 3*q - 125. Give x(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.3 - -0.7. Let y = 336\/1727 + -2\/157. Which is the closest to -0.1?  (a) 3  (b) o  (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 25, 40, 59, 82, 109, 140, 175?\nAnswer: 214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.17, 12\/11, 1, 1\/14, -2\/7.\nAnswer: -2\/7, 1\/14, 0.17, 1, 12\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -16c - -1225?\nAnswer: 1097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 18376 divided by -1?\nAnswer: -18376","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = -5*b + 7. Let d be z(-5). Let h = -5001 + 30095\/6. Calculate the common denominator of h and (-4)\/(d\/21) + 10\/(-2).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 91 - (24 + -39 - -82)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 83109, 83108, 83107, 83106?\nAnswer: 83105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 4225.34972 rounded to the nearest ten?\nAnswer: 4230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort 10, 27.8, -2, -1\/3, 0.4, -2\/3.\nAnswer: -2, -2\/3, -1\/3, 0.4, 10, 27.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*g - 5*g - 3*g**2 - 22*g + 27*g.\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 4140 and 540.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0 - -4. Suppose -y*a - 14 = -2. Suppose 0 = 2*m - 0*m. Sort a, 5, m in decreasing order.\nAnswer: 5, m, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = 0*j - 2 + 0*j - j**2 - 2*j - 3*j. Let t be x(-4). Let a = 23 - t. What is the highest common divisor of a and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10 (base 6) to base 11.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xixx when four letters picked without replacement from {i: 5, x: 7}.\nAnswer: 35\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1905 + 1786. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 70 times 862813?\nAnswer: 60396910","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = 8*a**2 - 14*a + 9. Let i(k) = -7*k**2 + 13*k - 8. Let o(l) = 5*f(l) + 6*i(l). Give o(5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 8219 and -1019?\nAnswer: -8375161","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -43 - 53 = -2*v. Let u be 4\/6 + 4\/v. Let i = -120 - -122. Is i > u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = 9*r**2 + 20*r + 14. Let a(v) = -5*v**2 - 9*v - 8. Let x(n) = -7*a(n) - 4*l(n). Let c(y) = -5*y. Calculate x(c(d)).\nAnswer: -25*d**2 + 85*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0061879259 to 6 dps.\nAnswer: -0.006188","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = z**2 - 4. Let a be w(3). Sort 3, a, -4.\nAnswer: -4, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = i**3 - 35*i**2 + 434*i - 24. What is p(16)?\nAnswer: 2056","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*s + s + 4*f - 106, -2*s + 182 = 2*f. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*a - 5*a - 3*a + 0*a + 7*a.\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = 12*l + 34. Let m(g) = -11*g - 34. Calculate 3*m(f) + 4*n(f).\nAnswer: 15*f + 34","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 662817\/22 - 30133. Find the common denominator of 9\/22 and v.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (40 + 2)*1 + -2. Let h be 4\/18 - (-1238)\/18. Suppose b - q = 6*b - 79, 5*q + h = 4*b. What is the highest common factor of r and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 553288 (base 11) to base 12\nAnswer: 366a5b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 57411713 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -225 - -227. Solve b - 6 = -2*b + 3*z, -z = -5*b - g for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*n - 3*n - 2*n**2 + (-24*n + 672*n + 1296*n)*(-4*n + 3*n - n) as h*n + v*n**2 + j and give v.\nAnswer: -3890","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = b**2 - 19*b + 84. Let l be g(15). Suppose -l*p + 60 = -9*p. Solve -a - 2*t = 11, 2*a - 1 - 1 = p*t for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = 4*w**2 + 2*w + 21. Does 5 divide d(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 18 a factor of 3978154?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*d + c = -c - 4, -d + c = 2 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: ((253\/(-132))\/23)\/(7*5\/(-20))\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -206348*l*u - l - 9217240*u wrt l.\nAnswer: -206348*u - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = -11*z. Suppose -4*d - 22 = -6*d. Let x(b) = -b**2 + 9*b + 8. Let j be x(d). Let a = 15 + j. Give q(a).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = -3*h**2 + 60*h + 31. What is r(22)?\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) be the first derivative of k**4\/2 + 5*k**3\/3 + 9*k**2\/2 + 3*k + 2. Let r(v) = 3*v**3 + 7*v**2 + 13*v + 4. Calculate 5*r(t) - 7*x(t).\nAnswer: t**3 + 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate h*y**2 + 6*h*y - 65*h - 109*y**2 - 6 with respect to h.\nAnswer: y**2 + 6*y - 65","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = w**2 + 3*w - 4. Let m = -130 + 133. Calculate c(m).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) be the second derivative of k**3\/6 + 3*k. Let r(q) = 9*q**2. Determine u(r(w)).\nAnswer: 9*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 2021056\/13 + -155757. Let j = 291 + u. Which is the nearest to -1?  (a) -0.4  (b) -2  (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 9?  (a) -0.4  (b) 0.4  (c) -5\/6  (d) 3\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*q - 18*q - 10*q - q - 4*q.\nAnswer: -38*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify l\/(l**(-19)*l)*l**(-15) assuming l is positive.\nAnswer: l**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 16514 or 16513?\nAnswer: 16513","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 1 + 2372?\nAnswer: 2373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 7 - 3. Let l = z - 9. Which is the closest to 1?  (a) 0.5  (b) 1  (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -3341*g**3 - 3*g**2 + 16 - 26 + g + 16 - 3*g + 22*g**2 wrt g?\nAnswer: -20046","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/7 in 2, -2, 8866?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 77*f - 36*f + 16 - 16 - 34*f**4 + 2*f**2 + f**3 wrt f.\nAnswer: -816*f + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) be the first derivative of -7\/3*x**3 + 3 + 0*x + 0*x**2. Let w(y) = -2*y. Determine w(j(b)).\nAnswer: 14*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 17.718471 months in years?\nAnswer: 1.47653925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) be the first derivative of 0*a - 1\/21*a**6 - 8\/35*a**5 - 8\/21*a**3 - 2 - 3\/7*a**4 - 1\/7*a**2. Factor p(z).\nAnswer: -2*z*(z + 1)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) be the first derivative of 34\/5*m**5 + 91 + 0*m**3 - 2*m + 38*m**2 + 0*m**4. Find the second derivative of k(n) wrt n.\nAnswer: 408*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (0 + -1)\/(4\/((-28)\/7))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or 8\/627?\nAnswer: 8\/627","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 151 to the power of 1\/4, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u*u\/(((u*u**(-2\/7))\/u*u)\/u)*u*u)**(-8)*(u**(-8))**(-5\/9) assuming u is positive.\nAnswer: u**(-1880\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 17.8 - 17.4. What is the third biggest value in 0.1, b, -0.2, 6?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qqq when three letters picked without replacement from {q: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = -1887*y**2 - 5652*y - 217. Let a(p) = 943*p**2 + 2827*p + 124. Let d(c) = -7*a(c) - 4*t(c). What is the second derivative of d(l) wrt l?\nAnswer: 1894","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*d - 56 = 4*r + 4*d, -d = 4*r + 68. Let c = -70 + 48. Let w = r - c. Is w a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-c + 2*c - 3*c)*(-4*c - c**3 + 4*c) + 2*c**4 - 6 + 6 to y*c**3 + m*c**4 + g*c**2 + r + n*c and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 314.9687um in nanometers?\nAnswer: 314968.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10\/20*-20*3\/(-12).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) -0.02  (b) -1272441  (c) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 725 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 13 + (-10 - -10 - 8).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 115 divide 5290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 27051700 rounded to the nearest one million?\nAnswer: 27000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1720604\/3 or 573534?\nAnswer: 1720604\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 166*w**4 - 377*w**2.\nAnswer: 3984*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 2\/8*1064\/(0 - -7). Suppose 5*j - 58 = 21*c - 19*c, -2*c = -3*j + s. Solve -2 = -4*l + j for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = p**2 + 21*p + 3. Let y be c(-21). Suppose -5*s + y*w + 709 = -0*w, 268 = 2*s + 4*w. What is the highest common divisor of 105 and s?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 16542, 33096, 49650, 66204, 82758?\n\"Answer: 16554*g - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 8350990 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 -2 + -2 - (-2 + 4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 11176 divided by 494.\nAnswer: 5588\/247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*v - j + 169, v - j + 57 = 2*v. Calculate the highest common factor of 1512 and v.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = -7*n + 685. Let v(s) = s - 111. Let b(r) = -6*q(r) - 37*v(r). Let h(o) be the second derivative of -o**4\/12 - o. Give b(h(z)).\nAnswer: -5*z**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 785655 is divided by 546?\nAnswer: 507","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -m**2 - 8*m**2 + 15*m**2.\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) be the third derivative of -1\/24*l**4 + 0*l**3 - 79*l**2 + 0 + 0*l. Let b(o) = 8*o. Let y(f) = 39*f. Let v(u) = 26*b(u) - 5*y(u). Determine v(n(j)).\nAnswer: -13*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put together 10 and -75355559.6579.\nAnswer: -75355549.6579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-62)\/(-72) + (-42)\/56. What is the nearest to -2 in 0.03, z, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j\/(j*j\/j**1*j*j)*j\/j**(2\/17))\/(j**(2\/23)\/j**4))\/((j*j\/(j*j*j**5*j*j)*j**(-6)\/j)\/((j**(-2\/5)\/j)\/j**(3\/8))) assuming j is positive.\nAnswer: j**(234919\/15640)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-244)\/112 + (29\/(-4) - -8) + 2?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(sqrt(121) - (sqrt(121) + (sqrt(121) + sqrt(121)*2)*3))\/(sqrt(132)\/sqrt(48)).\nAnswer: -18*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -211*g**2 - 72.\nAnswer: -422*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 339 a factor of 97632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is (-105)\/(-15) - (-2 - -6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -8*b + 3*b - 8*b - b - 3*b + b + (-5*b + 4*b + 3*b)*(-3 + 2 + 0) + b + 0*b - 3*b + (-12*b - 7*b - 5*b)*(-5 + 5 - 1).\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*k**3 - 545472*k**2 + 4363872*k - 8727808 = 0 for k.\nAnswer: -272744, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = 129*i**2 + 227*i - 2193. What are the prime factors of b(10)?\nAnswer: 19, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/3 in 3\/29, -0.3, -0.1, 16.21, -4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 152?  (a) -4  (b) -4\/7  (c) -3\/14  (d) 0.4  (e) -0.03  (f) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -360766*o**4 - o**2 + 6*o + 6392?\nAnswer: -8658384*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = i**3 + 7*i**2 + 2*i - 21. Calculate the remainder when 113 is divided by c(-5).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 881536 and 27264.\nAnswer: 2644608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 585 + -547. Suppose -h*u + 47*u = 18. Solve -2*z + 2 + u = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 424960 divided by 1\nAnswer: 424960","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: ((-32)\/24)\/(((-18)\/219)\/(((-378)\/(-28))\/(-3)))\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 7\/3, -3\/7, 0.2, 0.1?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 (base 6) in base 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 589 minutes after 11:27 AM?\nAnswer: 9:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 20338823 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -p - 2, -3*a - p = a - 10. Solve -a*g = 5*y + 14, 0*y + 12 = -3*g - 3*y for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10808*73.778.\nAnswer: 797392.624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -11232455 (base 6) in base 8?\nAnswer: -1245023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of o - 6*o**3 - 53*o**6 - 4*o - 187*o**2 - 3*o + 5*o + 3*o wrt o?\nAnswer: -6360*o**3 - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5395236 to the power of 1\/3, to the nearest integer?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 23142240 (base 5) in base 13?\nAnswer: 74214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 31 (base 10) to base 12.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 4247257227 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -75\/5354 and 14\/3?\nAnswer: 16062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 121 - 12*x - 28*x - 237 + 116 + 28*x + 8*x.\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2662\/3*k**3 - 484*k**2 - 88*k - 16\/3 = 0. Calculate k.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 4294 and 76?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 9848 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -15 - -22. Let i = h - 5. Solve 0 + 4 = -i*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 212, 0, -6, -4, 22, 4, -12 in increasing order.\nAnswer: -12, -6, -4, 0, 4, 22, 212","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.256 and -100.\nAnswer: 25.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.0465553999490717 - 0.\nAnswer: -0.0465553999490717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 43*y - 115*y = 144*y + 151*y - 11377 for y.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in 2, 0, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*i = 6*i - 44 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 119 = 4*g - j, 2*j + 19 + 9 = g. 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: Simplify -1*((2*sqrt(684)*3*-2 + 2)**2 + (-6*(sqrt(684) + 1) + sqrt(684)*-3 + -5 + sqrt(684) + sqrt(684))**2).\nAnswer: -132137 - 636*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 - 1 + 145640*n - 145638*n.\nAnswer: 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2231322 is divided by 187.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/5 of a decade in years?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + (sqrt(448) + -1)*2 + 0)**2*4.\nAnswer: 7168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 431080256 - 431080256 - 9*o.\nAnswer: -9*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = q**3 + 12*q**2 + 4. Let h be 3 - (5 - 0) - 10. Let z be a(h). Factor 4*u**5 + 11*u**z + 4*u**5 - 7*u**4.\nAnswer: 4*u**4*(2*u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -1383 - -7?\nAnswer: -137b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in sixty-nine halves of a millimeter?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*j = 22*j + s - 56794, -2*j + s = -56778. What are the prime factors of j?\nAnswer: 28393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = -p**3 + 4*p**2 - 2. Let b be k(4). Does 22 divide b\/(-5) + 1904\/40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 5, 1, 3, -11 in decreasing order.\nAnswer: 5, 3, 1, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -31 - -34. Is 0.115 at most as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -o**3*s + 2486724*o**3 - 2*o**2*s - 2*o*s + 160990*s with respect to s.\nAnswer: -o**3 - 2*o**2 - 2*o + 160990","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -337562*k**3 - 5168*k + 4 wrt k.\nAnswer: -2025372*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2695 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 163 is divided by 41.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = 3*f + 15. Let m(v) = -5*v - 5. Let x be m(f). Let h = -7 + x. Sort 4, h, -9 in ascending order.\nAnswer: -9, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 13905 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v = f - 46, -7*f + 3*v = -v - 352. What is the remainder when 112 is divided by f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1 (base 6) to base 7.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) be the second derivative of z**3\/6 - z**2\/2 - 2*z. Let h be w(3). Find the second derivative of 0*a**2 + a + 0*a + a**h wrt a.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*q = 17*q + 22. Calculate the highest common divisor of 55 and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is four sevenths of a week in hours?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 121*m**2 + 158*m + 2 - 43*m**2 - 76*m**2 to the form x*m**2 + g + s*m and give s.\nAnswer: 158","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 6114 + -6110. Let a(x) be the first derivative of -13 - x**2 + 10\/27*x**3 + 1\/2*x**o + 4\/9*x - 14\/45*x**5. Determine b, given that a(b) = 0.\nAnswer: -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 573530551 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (5 - 2 - 2)*(8*n + 6 - 6 + 1 - 1 - n + (-5 + 2 + 4)*(n - n - 2*n) + n - 5*n + 3*n + 3*n - 3*n + n + 1 + 2*n - 1) to u*n + c and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-7)\/(-14) + (-23)\/2. Let j be (-3302)\/i + (-22)\/121. Round j to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 727 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is (0 - (1 - 0)) + 3 + (256 + -622 - -332)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -50 - 6 = 4*c + 3*h, -3*h = 5*c + 76. What is the second smallest value in c, 0, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -74 + 2*n + 74.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -17204, -17228, -17266, -17318, -17384?\n\"Answer: -7*r**2 - 3*r - 17194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -138 divided by 199\nAnswer: -138\/199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 0 + 1 - (-3 - -1). Suppose 24 = 5*o - 16. Suppose -2*h + r = -3, f*h = -4*r - o - 4. Solve h = -3*k - 6 - 9 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from aaatatta.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d\/(d*(d**(-6)\/d)\/d))**(-3\/32)*(d*d**(1\/3)*d)**27 assuming d is positive.\nAnswer: d**(249\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v = -13*v + 3*v. Suppose -3*k - 3*k + 2*k = v. Suppose 2*c = 8, -y - 3*c + c + 188 = k. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8150 is divided by 133.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2)\/(-14)*104\/(-208).\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x + w = 61 + 146, -w = x + 48. Let p = x - -57. Solve -25 = -b + p*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 679 minutes after 7:35 AM?\nAnswer: 6:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 86.9 - 96. Round k to 0 dps.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = k + 18. Let l(t) = -t**3 - 5*t**2 + 22*t - 10. Let c be l(-8). Let z be p(c). Suppose q + u - z = -0*q, u - 93 = -4*q. Is 3 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -80 + 89 - (1 - -3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 538975?\nAnswer: 5, 21559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 342, 28, 8, -4, -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1*sqrt(350) - sqrt(350) - sqrt(350))\/sqrt(10))\/(-5*sqrt(20)).\nAnswer: 3*sqrt(7)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -618519 + 303*b + 618519 to q*b + x and give q.\nAnswer: 303","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"}
{"text":"Question: Solve -2*z = -11*z + 9 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -13?  (a) -2\/11  (b) 8\/3  (c) 0  (d) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g - 3*t + 23102 = 0, -g = -t - 4*t - 11564. Suppose 0 = 33*v + 2743 - g. What is the tens digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0093 to 3 dps.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 720 less than -170208050460?\nAnswer: -170208051180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = t**2 - 20*t + 42. Let f be n(17). Let j(w) = w + 12. Let g be j(f). Is g less than or equal to 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is thirty-one halves of a litre in millilitres?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 82485*h**2 + 33962*h wrt h.\nAnswer: 164970","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 19\/22 and 20\/9.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -11\/108591 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s = x + 6, 12 = -3*s + 27. Let f be 2\/x*(17 - 19). Solve 3*w + 0 = -3*v + 3, 0 = -f*v + 12 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/24?  (a) 4  (b) -0.2  (c) 125  (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -205338 (base 11) in base 15?\nAnswer: -677e1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 288 a factor of 274310784?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = -i**2 + 13*i + 15. Let r be v(14). Let n = r - -11. Solve -q - 6 = 2*j, -q - 2*j = 3*j + n for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 22 divide 76643710?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 14, 23, 0.3 in ascending order.\nAnswer: 0.3, 5, 14, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = 10*a**2 + 10*a**2 + 8*a**2 - 25*a**2. Let y(l) = -20*l**2. Determine q(y(i)).\nAnswer: 1200*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = 53*f**3 + 22. Let h(u) = -u**3. Let r(o) = -3*h(o) - v(o). What is the derivative of r(g) wrt g?\nAnswer: -150*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -6, -66, -172, -330, -546, -826, -1176, -1602?\n\"Answer: -m**3 - 17*m**2 - 2*m + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 7078149?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 2*v**2 + 0)*(0*v + 4*v - v) + (0*v - 5*v + 0*v)*(2 - 3*v - 2)*(0*v + v + 0*v).\nAnswer: 21*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*m + 11*m = 35. Suppose g - j + 8 = 3*g, 3*g - 5*j - 38 = 0. Calculate the remainder when -39*((-2)\/g)\/1 is divided by m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -7638233, -15276466, -22914699, -30552932?\n\"Answer: -7638233*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m = -0*m + 20. Let r be ((-5)\/m)\/((-1)\/8). Is (-2)\/4 - 270\/r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = -4*z + 19. Let o = 9 - z. Suppose -46*t**4 + 45*t**o + t**3 - t + t**2 + 0*t = 0. Calculate t.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1644161701.\nAnswer: 7, 13, 18067711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find c such that -c**3 + 28907*c**2 - 1097059*c + 1068153 = 0.\nAnswer: 1, 37, 28869","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/5?  (a) 0.3  (b) -84  (c) 1  (d) 70600  (e) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 237 + -164. Factor 70 - 714*a**2 - l*a + 28*a + 719*a**2.\nAnswer: 5*(a - 7)*(a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-76)\/(-18) - 2\/9. Let j be ((-10)\/k)\/(4\/(-8)). Solve -2*u + j = 2*o - 7, 19 = 3*o + 4*u for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -5551, 38324 in descending order.\nAnswer: 38324, -4, -5551","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 2531618 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 183*129\/7869*((-8)\/(-12))\/((-4)\/(-50)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z - 101 = -33. Let a be 9\/2 + 51\/z. What is the second derivative of 10*x - a*x + 0*x - 14*x**5 + 4*x**5 wrt x?\nAnswer: -200*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify u**(5\/9)*u**5*((u**(-1)\/u*u*u)\/u)**(-3) assuming u is positive.\nAnswer: u**(77\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.1, 15, -3, -2\/3, -6 in decreasing order.\nAnswer: 15, 0.1, -2\/3, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*((-1 + -2*(sqrt(245) + 0) + -5)**2 + 3).\nAnswer: -4076 - 672*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*b - 3*a - 2*a + 16, 2 = -b + 2*a. Suppose 2*q - 124 = -b*q. List the prime factors of q.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -s**3 - 9*s - 6*s**3 + 9*s.\nAnswer: -7*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -43 - -201?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (3*-2)\/(-2 - (0 + 1)). Does 34 divide 214 - (t - 0) - (1 - 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = q**2 - 2*q - 13. Let h be a(7). Let w = 13 + h. List the prime factors of w.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -639791 + 14*o**3 - 17*o**3 + 640137.\nAnswer: -3*o**3 + 346","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -300 - -307. Let f(i) be the second derivative of 0*i**6 + 0*i**2 + 0 - 5*i + 1\/126*i**m - 1\/20*i**5 + 0*i**3 - 1\/18*i**4. Factor f(h).\nAnswer: h**2*(h - 2)*(h + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -70 - -75. What is the nearest to -1 in -5\/3, -0.5, c?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*s**4 - s**4 - 4*s**4 + (-5*s**2 + 3*s**2 + 3*s**2)*(-5*s**2 - 3*s**2 + 3*s**2) + (-9 - s + 8 + 0)*(s**3 - 2*s**3 + 4*s**3).\nAnswer: -9*s**4 - 3*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 683124383 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -355, -1429, -3219, -5725, -8947, -12885?\n\"Answer: -358*t**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**0)**(17\/6)*(n**(-7)*n)**(7\/11) assuming n is positive.\nAnswer: n**(-42\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = -a**3 - 4*a**2 + 6*a - 5. Let f be q(-5). Let s = -9 - f. Let m be (s\/(-4))\/((-5)\/40). Solve m*g + h + 2 = 6, g = 3*h + 2 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*b - 4*x + 0*x + 0*x + 20 = 0, -7*x = 2*b - 35 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-46)\/2277*-407 - (4 + 3). Let t(o) be the second derivative of -4\/3*o**2 - 13*o - 4\/15*o**5 + h*o**4 + 0 - 10\/9*o**3. Find k, given that t(k) = 0.\nAnswer: -1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1.4?  (a) 0.4  (b) -2\/11  (c) 1  (d) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from svs. What is prob of picking 1 s and 1 v?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -11159*b**2*t**3 - 7*b*t**3 + 185*b - t wrt b.\nAnswer: -22318*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 4.8, -122, -2, -1\/10, 23?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 987631 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0 - -1. Let l = -3 - d. Which is the third biggest value?  (a) l  (b) 4  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0059477 to 4 decimal places.\nAnswer: 0.0059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 49*w + 299 - 1622 for w.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) be the second derivative of -139*y**3\/6 - 2*y + 18. Let u(i) = 39*i - 24. Let q(j) = -8*j + 5. Let g(m) = -24*q(m) - 5*u(m). Calculate g(n(v)).\nAnswer: 417*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*f**2\/13 + 223910*f\/13 - 3359100\/13 = 0.\nAnswer: -111970, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 10 in 0.2, -0.1, 61158, -2\/17, -0.4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = -c**3 - 7*c**2 - 7*c - 1. Let i(o) = o - 13. Let v be i(7). What is q(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.6 + -0.4. Let v = 212 + -212. Which is the nearest to g?  (a) -0.4  (b) 3  (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 122101 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = -o**3 + 7*o - 6. Let f(n) = n**3 - 6*n + 5. Suppose 0 = -10*z + 383 - 333. Calculate z*s(d) + 6*f(d).\nAnswer: d**3 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Add together 0 and 15341.27432.\nAnswer: 15341.27432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*u - 2*u = 4*h - 24, 5*u - 5*h = -15. What is the biggest value in -1, 0.4, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = -27*t**2 - 2133*t - 215. Give p(-79).\nAnswer: -215","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-j - 7*j + j)*(j**2 - 2*j**2 - j**2)*((-2 - 2 + 6)*(0 + j + 0) + 0*j - j + 2*j)*(-54 + 54 - 90*j + (-6 + 1 + 3)*(2*j + 0 + 0)).\nAnswer: -3948*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -26654006 (base 7) in base 15?\nAnswer: -33b055","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -55643474*m**3 - 150630*m + 2?\nAnswer: -333860844*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/4, 9, 155 in decreasing order.\nAnswer: 155, 9, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -233 - -152. Let t = -81.101 - i. What is t rounded to 2 decimal places?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -12092*f**2 + 18069 with respect to f.\nAnswer: -24184*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Product of -13 and 0.114476.\nAnswer: -1.488188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v = 3*k + 24, -4*v = 2*k - 5 - 27. Let o(l) = -l**2 + 9*l + 11. What is the units digit of o(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.800756447+0.4\nAnswer: -0.400756447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = 921*b**2 + 11*b - 32. What are the prime factors of m(2)?\nAnswer: 2, 11, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = -2*i. Let l = -10 - -1. Let r(w) = w**2 + 8*w - 7. Let q be r(l). Let d(b) = -13*b + 2 + q - 4. What is m(d(a))?\nAnswer: 26*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 338*n = 296*n + 42 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is (-17637)\/4*84\/(-9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 16a58 + 3?\nAnswer: 16a5b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 334597 and 2191.\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*d**2\/15 + 46*d\/15 + 20\/3.\nAnswer: -2*(d - 25)*(d + 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 10.1 - 10. Suppose 4*k = -4*l + 100, 0 = -k - 1 + 6. Let n be (-5)\/(-4)*(-12)\/l. Which is the closest to w?  (a) 3\/7  (b) 0.3  (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = f**2 - 15*f - 7. Let v = 37 + -16. Let s be (-4 - 3)*36\/v. Is y(s) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 883, 1783, 2683, 3583, 4483?\nAnswer: 5383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.95391 to 2 decimal places.\nAnswer: 0.95","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort -589, -301, -5, 5 in increasing order.\nAnswer: -589, -301, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*q + 4*l + 30 = 0, -1826 = -5*q - 5*l - 1881 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-14)\/78*-10*12\/420.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round -1865.85 to the nearest 10.\nAnswer: -1870","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1354.\nAnswer: 2, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (8\/(-2) - -3) + -7. What is the units digit of (436*(-12)\/t)\/((-3)\/(-2))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -737*-15.32\nAnswer: 11290.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1a (base 12) to base 9.\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express q - 179*q**2 + 27 - 29 + 7*q - 2*q + 513*q**2 in the form r*q**2 + v*q + n and give r.\nAnswer: 334","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3 by -767.\nAnswer: 3\/767","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 30733 = 194*c - 75*c + 302*c for c.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 227 is divided by 123.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 44\/45 and -27\/2380.\nAnswer: 21420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10443982 is divided by 10443971.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 340652.\nAnswer: 2, 13, 6551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/938 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.5907 rounded to 2 decimal places?\nAnswer: -0.59","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = -15*q**2 + 4*q. Let k(n) = -78*n**2 + 21*n. Suppose 5*h - 3*h + 12 = 2*d, 69 = -4*h - 5*d. Let a(m) = h*p(m) + 2*k(m). Factor a(l).\nAnswer: l*(9*l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 3718*c**2*r**3 + 592*c**2 + r**2 + 2*r wrt r.\nAnswer: 22308*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 44 - 43. Which is the nearest to -0.2?  (a) l  (b) 3  (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from {a: 10, t: 2, m: 2, e: 3, s: 3}?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = a**2 - 1. Let u be g(2). Suppose u*h - 1 = -7. Find the common denominator of -137\/12 and (-498)\/(-24)*h\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 c, 2 r, and 1 b when four letters picked without replacement from {r: 3, d: 2, b: 1, c: 1}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 9 and 192?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = 50*r + 5001. Calculate s(-101).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) be the third derivative of 1\/12*g**4 + 0 + 7*g**2 + 1\/6*g**3 + 0*g. What is the first derivative of k(v) wrt v?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = -6*s**2 - 3*s - 3. Let j be n(-1). Let w = -2.16 + 0.16. Which is the closest to j?  (a) 0.1  (b) w  (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = x**3 + 2*x**2 - 41*x + 16. Determine m(5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = -9*m**2 - 5*m - 32. Let j(k) = 5*k**2 + 2*k + 16. Let p(t) = -2*i(t) - 5*j(t). What is the derivative of p(w) wrt w?\nAnswer: -14*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find q such that 11*q**4 + 9303*q**3\/2 - 206397*q**2\/2 + 13986*q = 0.\nAnswer: -444, 0, 3\/22, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.077 + -3.377. Let w = b - -8.3. Sort w, -2, 28 in decreasing order.\nAnswer: 28, w, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = -2*s + 41. Let u be v(17). Let h be 3\/(6\/1)*4. Solve -3*o = -u - h for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = -24*f + 92. Give u(9).\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 6994 and 16678?\nAnswer: 216814","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 56561 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 459687799 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -6816, -8033, -9260, -10503, -11768, -13061, -14388, -15755?\n\"Answer: -o**3 + o**2 - 1213*o - 5603","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (497\/38766)\/(6\/108).\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -134030244 (base 6) to base 11.\nAnswer: -15910aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 143611 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -30*t - 57*t + 66120. What is the highest common factor of 920 and t?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = 574*o - 13. Let d(h) = -382*h + 9. Give 7*d(s) + 5*j(s).\nAnswer: 196*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = 17*j**2 + 26. Let i(a) = -5*a**2 - 9. Let c(f) = 7*i(f) + 2*q(f). What is the first derivative of c(b) wrt b?\nAnswer: -2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 928 divided by -5?\nAnswer: -928\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -190 = t - y + 4*y, -2*y + 830 = -4*t. Let p = 348 + t. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -33 + 8 = -3*x + 5*m, -4*x - 4*m + 76 = 0. Let v(i) = -2*i**3 + 19*i - 8 + 13*i**2 + i**3 + 14 + 8 + 11*i. Is v(x) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 29 = -5*p - l, p - 5*l + 91 = 80 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a - 1358 = -a. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.03935 to three decimal places.\nAnswer: -0.039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = 27*v**3 - v**2. Let p be f(-1). Let c be (p\/6 - -4)*-6. Sort 1, -5, c in increasing order.\nAnswer: -5, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 43802?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 8 - 85*v + 1 - 9 to y*v + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 697641.8g?\nAnswer: 697641800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g - u - 13 - 7 = 0, -3*g + 30 = -5*u. What is the highest common divisor of 4 and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -41938, -167756, -377454, -671032, -1048490, -1509828?\n\"Answer: -41940*g**2 + 2*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 34262082.\nAnswer: 2, 3, 634483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 smaller than 152\/21837?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 30 + -35 + (0 - 0).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 221 a factor of 2136570468?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(1\/20))**(-32)*(l\/((l\/(l**(-17)*l)*l)\/l))**18 assuming l is positive.\nAnswer: l**(-1448\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -894, -1206, -1724, -2448, -3378, -4514?\n\"Answer: -103*f**2 - 3*f - 788","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0002443152 rounded to five decimal places?\nAnswer: 0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/7, -1\/5, 4, 20\/3, 5, -0.1 in decreasing order.\nAnswer: 20\/3, 5, 4, -0.1, -1\/5, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) be the second derivative of -v**3\/3 + v. Let s(t) be the first derivative of -2*t**3\/3 - 6. Determine s(y(n)).\nAnswer: -8*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:09 PM and 4:36 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sum -0.4 and 43738.\nAnswer: 43737.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 230764771 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -10 - -9?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:19 AM and 11:39 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 0 + 3)*(0*t - t + 3*t) - 3 + 3 - t + 2*t + 1 - 1 + 3*t + 0*t - 5*t - t - 3 + 3 + (6*t - 5 + 5)*(-2 + 2 + 3) + (-4 + 0 + 3)*(27*t + 31*t - t).\nAnswer: -37*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 162 = b + 26*b. Determine y, given that -6 - 3\/2*y**2 - b*y = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 10208\/5 - 2032. Find the common denominator of 25\/4 and l.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 394 + -364. What is the lowest common multiple of m and 40?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = -2*s. Let h(q) = 201*q. What is h(p(j))?\nAnswer: -402*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 10846 and 2431?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -1*4\/6*(7 + -10). Let f = t - -22. What is the smallest common multiple of f and 6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 444702 and 1233?\nAnswer: 1334106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = 3*k - 6. Let u be d(3). Suppose -u = b, 2*a + 4*b - 2*b + 36 = 0. Let l(i) = 2*i - 14. Let q be l(7). Sort q, a, -3 in increasing order.\nAnswer: a, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 220200 - -2221222121?\nAnswer: 2222220021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = -n**2 + 19*n + 78. Let l be z(-7). Sort -4, l, -1, 1 in descending order.\nAnswer: 1, -1, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 11 in 2, -6\/23, -8?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n\/(n\/n**(-1\/3))*n**(-3)*n)**(25\/2) assuming n is positive.\nAnswer: n**(-175\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 40 + -25. Let c be -1 - -7*(-2)\/(-8)*4. Suppose -u - 30 = -c*u. Solve 3*w + 9 = 3*f, 0 = 2*w + u*f - f - k for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1376 and 7811896?\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round 52122.2 to the nearest 10.\nAnswer: 52120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y + 24 = 3*s, 0*y + y + 2 = s. Suppose -s*a + 7 + 8 = 0. Let h(j) = -8*j**2 + 2*j**2 + 2*j**a + 3*j - j**3 - 6. What is h(6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -9 + 9. Suppose 5*f = x - 7, 4*f - 2*x + 8 = -m*x. Let n be f\/5 + (0 - 0). Are -0.04 and n equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = 2*h**3 - 20*h**2 - 4*h + 29. Give g(10).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = 3*d, 8*g = 4*g - d + 11. Differentiate a**3 + g + 0*a**3 - 4 wrt a.\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y - 7*y - 12 = 0. Let v be ((-2 - -10) + y)\/1. Find the first derivative of v + 19*g - 19*g + g**2 wrt g.\nAnswer: 2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 3330 and 12165045?\nAnswer: 72990270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 5882.941 - 5924. Let d = h - -40.6. Let v = 0.059 + d. Which is the third biggest value?  (a) 1\/4  (b) 0  (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = 92*z**2 - 53*z + 4409. Is k(-92) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-23858)\/(-21) - (-2)\/(-21). Let q = p + -277. List the prime factors of q.\nAnswer: 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) be the third derivative of w**5\/20 + w**4\/2 + 5*w**3\/3 - 14*w**2. What is the remainder when 37\/2 + 6\/12 is divided by t(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = 7*y - 2. Let x be 4\/16 + (-1)\/4. Let b = x - 5. Let w(m) = 6*m - 2. Determine b*o(g) + 6*w(g).\nAnswer: g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = -4*g**2 - 2*g + 3. Let v(w) = w**3 + 9*w**2 - 10*w + 2. Let f be v(-10). What is d(f)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 3410.56671 from 0.0986.\nAnswer: -3410.46811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = i**2 - 2*i - 6. Let n be c(6). Suppose 12*x + 294 = n*x. Is 13 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 3 + 2203243413?\nAnswer: 2203243421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*x = -d - 13, -3*d - 2*x - 4054036 = -d - 4054050 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 9 and 2044445.\nAnswer: 18400005","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 548769\/2827 + -2363600539\/10861334. Let z = s + -2\/1921. Let p = -0.4 - -0.3. Which is smaller: p or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*x = -12*x. Solve x = 3*f - f + 8 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x = -0*x - 8. Let f(h) be the third derivative of -h**5\/60 + 5*h**4\/12 - 3*h**3\/2 + 391*h**2. What is the remainder when f(x) is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 362190 is divided by 179805?\nAnswer: 2580","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is (2 - -13) + 43 + -48?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = -m**3 - 10*m**2 + 14*m + 39. What is x(7)?\nAnswer: -696","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(-4 + (2*(sqrt(448) + -2) + sqrt(448) - sqrt(448))**2 + 2) + -2.\nAnswer: -10838 + 768*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t = -26*t - 37510. Let j = 1722 + t. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = 10 - 10 + 2*x**2. Let z(w) = -w + 2*w - 2*w. What is o(z(m))?\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 432 minutes before 10:27 PM?\nAnswer: 3:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = -3*v - 2. Let s(h) = h**2 - 7*h - 5. Let y(x) = -2*x - 7. Let l be y(-6). Let z be -3*3\/15*l. Calculate z*s(p) + 7*a(p).\nAnswer: -3*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -14157 + 65426. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -75156, -75187, -75218, -75249, -75280, -75311?\nAnswer: -75342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (33*n + 11*n + 36*n)*(-n + 3 - 3)*((-1 + 0 - 1)*(n - 3*n + 5*n) + 3*n + 3*n - 3*n)*(0*n - 2*n + 0*n).\nAnswer: -480*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round -8.44712224 to two decimal places.\nAnswer: -8.45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = -c**2 + 2. Let m be o(0). Suppose -m*z + 6 = z. Find the third derivative of h**5 - 2*h**z + 3*h**6 + h**2 - h**5 wrt h.\nAnswer: 360*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 8\/(-252)*(164\/41)\/(-4)\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -29381, -58759, -88135, -117509, -146881, -176251, -205619?\n\"Answer: b**2 - 29381*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 51*d = 63*d + 60 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -108 = -2027*m + 2039*m for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from swxwsxmwhxxwwmmx. What is prob of sequence sw?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 80528.\nAnswer: 2, 7, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Work out -109 * -103.\nAnswer: 11227","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by -23?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 88*o**5 - o - 174?\nAnswer: 1760*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 16221526?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = -18*z**2. Let y(c) = -16 + 36 - 19*c**2 + 31*c**2 - 20. Determine h(y(q)).\nAnswer: -2592*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 1237716, 1237718, 1237720?\n\"Answer: 2*t + 1237714","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = l**2. Let s(p) = -3*p**2 - 36. What is s(u(z))?\nAnswer: -3*z**4 - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1001 and 53144.\nAnswer: 584584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 6103 + -5553.8. Let v = -549 + g. Which is the nearest to -2?  (a) 4  (b) -2  (c) -3  (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 417 and 118706.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = 16*q**2 + 42*q - 476. Let g(l) = 3*l**2 + 8*l - 95. Let c(j) = 11*g(j) - 2*v(j). Let o be c(-12). Solve -5*k - 2 = -o*x, -x + 5 = 4*k - 7 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((u*u\/((u\/u**(-19))\/u))\/u)\/u*u)\/u*u\/(u*u**(-10))*u\/((u*u*u**10*u)\/u*u)*u**(9\/4) assuming u is positive.\nAnswer: u**(-75\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.23 - 0.19. Let p = 59 + -235\/4. Which is the nearest to p?  (a) i  (b) -0.3  (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(612) - (sqrt(612) + 0))*4)**2*6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 88 = 2*u - m, -u + 62 = -0*u - 5*m. What is the highest common factor of 105 and u?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) be the third derivative of -g**6\/60 - g**5\/30 + g**4\/6 + 2*g**3\/3 - 13*g**2. Let r be m(-2). Solve -r*k = 19 + 1 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 16*(162\/(-24) + 7). Let o(y) = -47*y - 4 + r + 44*y. Let w(h) = -h**2 + 86. Calculate w(o(m)).\nAnswer: -9*m**2 + 86","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1989.163 - -1.\nAnswer: -1988.163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*t**2 - 2766*t - 2769 = 0.\nAnswer: -1, 923","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 35 - 20. Let m(h) = -h**2 - 1. Let j(n) = -8*n**2 + 2*n - 3. Let a(u) = j(u) - 5*m(u). Let d(s) = 21*s**2 - 15*s - 15. Calculate w*a(c) + 2*d(c).\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) be the first derivative of s**2\/2 - 4*s - 1. Suppose 15*j + 0*j = -105. Let r(t) = t - 6. What is j*i(b) + 5*r(b)?\nAnswer: -2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1568613?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 495079 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 62132621 to the nearest integer?\nAnswer: 7882","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3017?\nAnswer: 7, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.6181 and 0.08.\nAnswer: -0.049448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is one twentieth of a millisecond in nanoseconds?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 29362168831 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -3, -143.\nAnswer: -143, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-10648)\/(-24)*(-2868)\/(-10516).\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = k**2. Let f be g(1). Let a(m) = f + m**2 + 4 - 2 - 4*m. Is a(6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1156504\/7 - 165499. Let g = -277 - w. Suppose -g*q**2 - 40\/7*q - 8\/7 = 0. What is q?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 48 + -42. Let j be -2*(-20)\/(4\/(-2)). Let w = 37 + j. What is the remainder when w is divided by t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.494 - 0.354. What is the biggest value in l, 4\/11, -0.4?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 + -4 + 4 - (0 + 0).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 149322023 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert 802.8685 nanograms to kilograms.\nAnswer: 0.0000000008028685","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 336 = -11*q + 7*q. Let r(h) = h + 7. Let m be r(7). List the prime factors of (-2 + m\/(-3))\/(8\/q).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 310 and 55025?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t + 4*s - 11 + 41 = 0, 69 = 4*t + s. Suppose 10 = 2*j - 2. What is the third derivative of j*y**2 - 42 + 5*y**4 + 42 - t*y**2 wrt y?\nAnswer: 120*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.2, 3\/53, 0.3, -0.4, -1 in decreasing order.\nAnswer: 0.3, 3\/53, -0.2, -0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 2, i: 2, m: 9}. What is prob of picking 1 s and 2 i?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*y - 8 - 7. Let x be y\/3*-3 + 5. Is 8 a factor of x\/8 + 186\/24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) be the first derivative of 4*b**6\/7 - 2*b**5\/5 - 19*b**4\/14 + 6*b**3\/7 + b**2 - 4*b\/7 - 43. Find l such that k(l) = 0.\nAnswer: -1, -2\/3, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 232*o + 139*o + 5936 = 0 for o.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = -o**2 - 6*o - 3. Let p be c(-5). Suppose -a + p = 6. Let q(l) = l**3 + 6*l**2 + 4*l - 3. Calculate the remainder when 24 is divided by q(a).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = 19*s + 3. Let z be d(4). Let t be z\/6 + 2\/(-12). Solve 3 = v - g, 0 = 3*v + g + t - 2 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*l - 6*l + 24 = 0. Suppose -4*m - l = 4*k, 0 = 3*m + 2*m - 3*k - 35. What is x in -1\/3*x**2 - x**3 - 1\/3*x**m + 2\/3 + x = 0?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3136 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort 51, -3, -9, 0.2, -0.3 in increasing order.\nAnswer: -9, -3, -0.3, 0.2, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 439 - 439.9. Which is the biggest value?  (a) 37  (b) 0.4  (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = 3*a, -5*g + 5*a + 2364 + 3671 = 0. Round g to the nearest 100.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*y + 3*y**2 + y**3 + 2*y)*(7*y**2 - 2283*y + 2293*y + 8*y**2).\nAnswer: 15*y**5 + 55*y**4 + 30*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -10984 + 118410\/11. Let g = 13021\/66 + f. What is the common denominator of -61\/6 and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = q**2 - 10*q + 10. Let y be n(9). Calculate the remainder when 26 is divided by ((-2)\/2*-7)\/y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = 8*u - 78. Let i(x) = 6*x. What is i(g(h))?\nAnswer: 48*h - 468","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kkxskseesehesskhss. Give prob of picking 1 h and 1 k.\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 33907\/30 + -1129. Find the common denominator of y and -9 + 8 + (-17)\/(-60).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-75 + 13*s + 75 + (-4 + 6 - 3)*(s - 2 - 2*s - s))*(-5 - 1 + 1).\nAnswer: -75*s - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 36351 and 259?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 8\/1 + 1*-2. Let t(a) = -a**3 + 5*a**2 + 9*a - 8. Let v(n) = -6*n - 6. Calculate the smallest common multiple of t(j) and v(-4).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2*f**5 - 92*f**3 + 2*f**2 - 34 wrt f?\nAnswer: -120*f**2 - 552","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = -r - 3. Let k(u) = -2*u - 7. What is -4*k(l) + 9*s(l)?\nAnswer: -l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:00 AM and 1:47 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 5, x: 14}. Give prob of sequence xxx.\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 + 273 = 7*m. What is the greatest common factor of 200 and m?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 17334287 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 78\/(-189) - (-4 + 160\/36)?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 3 - -103?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = 2*r**3 + 424*r**2 + 491*r + 14775. Calculate u(-211).\nAnswer: 216","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**5*a*a*a**(-2))\/(((a**(-9)\/a)\/a)\/(a*a*a\/(a**(-1\/20)*a))) assuming a is positive.\nAnswer: a**(361\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -39085 - 56845. Round f to the nearest one thousand.\nAnswer: -96000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 38052099 is divided by 185?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-231)\/324)\/11*1764\/(-8232)?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = f**2 + 82*f - 16742. Calculate j(95).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 29 a factor of 1305?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 34\/5 of a meter?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 852*y + 37276 - 8852 + 51656 = -1150*y for y.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*t - t**2 - 4*t**2 + 9*t + t + 0*t**2.\nAnswer: -5*t**2 + 7*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -244.73*5.\nAnswer: -1223.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1223 - 1223. Let x(s) be the second derivative of 0*s**2 + 6*s + 1\/6*s**3 + q. Let d(p) = 2*p. Give x(d(a)).\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = 14414*p. Let z(u) = -10*u**2. Give z(c(g)).\nAnswer: -2077633960*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 3956571*j**3 + j**2*p**3 + 26*j*p**3 - 3*j*p**2 + 1068*p**3 - 1 wrt j?\nAnswer: 23739426*j + 2*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 184*m - 86 wrt m?\nAnswer: 184","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 8947?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 5 + -2. Suppose 0 = y + 2*a - m*a, 2*a = -2*y. Factor -2*c**3 - 1\/2*c**2 - 3\/2*c**4 + 0 + y*c.\nAnswer: -c**2*(c + 1)*(3*c + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = 2*h**2 - 33*h + 128. Let a be r(6). Solve 0 = -a*n - 7*n - 5*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -4 - -8. Let l be 7\/3*(-2 - n). Let p = l + 13. Which is smaller: p or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 1\/20 of a millimeter?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16 = 4*f + 4. Solve -5*r + m = 16, f*r = -0*r - 3*m - 24 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = 528*f**3 + 2*f**2 - 2*f. Let t = -451 - -452. Let m be v(t). Calculate the greatest common divisor of m and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = 7*d**2 - 4*d + 4. Let n(o) = -20*o**2 + 11*o - 11. Let f(y) = 4*n(y) + 11*v(y). Let g(b) = 4*b**2. Give g(f(u)).\nAnswer: 36*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.074 - -0.134. Round b to 1 decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -68, -43, -2, 55, 128?\n\"Answer: 8*h**2 + h - 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 222420 (base 6) in base 9?\nAnswer: 27623","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (41 - -28) + -1 + -43?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = 3 + 4*p**2 + 11 - 3*p**2 + 11*p + 0. What is the least common multiple of o(-10) and 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = -v**2 + 10*v + 7. Let b be l(5). Suppose 0 = -2*y - 0*y + b. Does 4 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1.6 - 0.47. Let y = 6.07 + u. Let x be ((-60)\/33 + 2)*1. Which is the third smallest value?  (a) 2  (b) x  (c) -0.5  (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 630 and 147105?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*y = 8 + 27. Suppose d = -v - v + 2, 2*d = -5*v + 5. Let f(i) = -i. Let t be f(d). Solve t*o + 20 = -y*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = u + 5*f, -3*u = -4*f + 1 + 1. Let v(i) = 0*i - 4*i + 7*i - 2 - u*i**2 - i**3. Let t = -4 - -6. What is v(t)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3151.\nAnswer: 23, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 0.0304461 months?\nAnswer: 0.002537175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -26603798 - 17083.\nAnswer: -26620881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 342 minutes after 5:19 PM?\nAnswer: 11:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = -u + 13. What is the remainder when 31 is divided by c(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -89dd (base 15) in base 4?\nAnswer: -13020301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out -376765493 * 5.\nAnswer: -1883827465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + -2*-5*((-1*sqrt(1872) + sqrt(1872))*4 + 4)*3)**2.\nAnswer: 15376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h - h = 34. Suppose -4*s - 3 = -39. Let k = h + s. What is the common denominator of 50\/11 and k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*b - 1605 = 3*b. Let u be (-1)\/(-2) - b\/10. Suppose 7*k - u = k. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((f\/(f*f*f**(-1)*f))\/f)**(33\/7)*(f**(-5)\/f)\/f**(-1\/3))\/(f\/(f*f**(-2\/9))*f*f\/f**4*f*f**(2\/9)*f*f**(-1)) assuming f is positive.\nAnswer: f**(-916\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -155*s + 246026 - 235486 for s.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 27263 and 42586?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 38803944833 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = 1864*p**2 - 3*p + 1. Let h(b) = -1867*b**2 + 2*b. What is -3*h(i) - 2*w(i)?\nAnswer: 1873*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1 - -0.6. Let x = 1.6 - z. Let h = 58 + -57.6. What is the biggest value in h, x, -1\/2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(153)*-3 - sqrt(153))*-5)\/sqrt(9).\nAnswer: 20*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6581 divided by -16.\nAnswer: -6581\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = 16*l + 134. Let f(k) = -2*k**2 + 92. Give n(f(d)).\nAnswer: -32*d**2 + 1606","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*x - 3*x + 73. Let s(j) = -j**3 + 34*j**2 - 65*j - 28. Let t be s(32). Let w = t - x. Calculate the remainder when 25 is divided by w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1216540 and 84222.\nAnswer: 10948860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -228 + 8109. List the prime factors of b.\nAnswer: 3, 37, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.3 + 0.6. Let g(a) = 2*a**3 + 10*a**2 + 11*a + 33. Let w be g(-5). Suppose r = 1 - 6. What is the third smallest value in i, 3, r, w?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve m**2\/5 + 344*m\/5 - 1152 = 0 for m.\nAnswer: -360, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = -o**3 + 5*o**2 - 7*o + 10. Let n be j(4). Sort 5, n, -19, 3.\nAnswer: -19, n, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 19570*a**3*i*t + 3*i + 355*t - 3 wrt a?\nAnswer: 58710*a**2*i*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 83840237 a multiple of 2604?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -65*u**5 - 34*u**4 + u**3 + 2052*u**2 + 2*u?\nAnswer: -3900*u**2 - 816*u + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 309 minutes before 12:03 AM?\nAnswer: 6:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -72fb4 - 679?\nAnswer: -7362d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.7 times 9600.52?\nAnswer: -6720.364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 52.74 + -37.74. Which is the nearest to -1?  (a) 5  (b) 2\/3  (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/4 of a millimeter in micrometers?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 6, u: 3, y: 2, l: 1, x: 1}. What is prob of picking 1 u, 1 y, and 1 l?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 83*u - 81*u = -2 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 153342071 to the power of 1\/3, to the nearest integer?\nAnswer: 535","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: (2\/((-32)\/(-186)))\/((-255)\/(-170))\nAnswer: 31\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 373357646.\nAnswer: 2, 8821, 21163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -23, -61, -117, -185, -259, -333, -401?\nAnswer: -457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = -i**3 - 2*i**2 - i + 4. Suppose -4 = -4*y - 12. Calculate the lowest common multiple of 2 and m(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 3379484*k**3*s**3 - k**3*s**2 + 25028551*k**2*s**3 wrt k.\nAnswer: 20276904*s**3 - 6*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = -i**2 + 9*i + 2. Let r be x(8). Let g(z) = z**2 + 4*z + 2. Let n be g(-6). Let v = n - r. Which is smaller: v or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -1086435*p**5 + 52*p**2 - 12*p - 7?\nAnswer: -65186100*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 100*g - 133*g = -297. Solve 3*q = -p + 6, -2*q + 6 + g = -3*p for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -18567*t - 32 - 4986*t + 32.\nAnswer: -23553*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 15\/38729546 and 81\/2.\nAnswer: 38729546","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"}
{"text":"Question: Round -11829544 to the nearest 100000.\nAnswer: -11800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0 or -642?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*n + 5*g - 18 = -0, -3*g = -6 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j - 17 + 8 = 0. Suppose 0*x - j*x + 18 = a, 4 = x + a. Factor 314 + 2*b**3 + 5*b**4 - 314 - x*b**5.\nAnswer: -b**3*(b - 1)*(7*b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 29016876?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*g - 6*c - 54 = 0, 2*g - 2*c + 91 = 53 for g.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k**(1\/3)*k)\/k)\/k**10*(k**(-2\/3)*k)**(-4\/19) assuming k is positive.\nAnswer: k**(-185\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -3\/19 and -119\/5928.\nAnswer: 5928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 7, 1\/3, -4, 2, -118\/71?\nAnswer: -118\/71","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 72069 + -575835\/8. Let q = -89 + v. Which is greater: q or 0?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*d**2 - 2 + 2 + (2*d - 6*d + 2*d)*(2*d + d - 5*d) + 135*d**2 + 209*d**2 - 58*d**2)*(0*d**2 + 0*d**2 + 2*d**3).\nAnswer: 576*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -1373.3 plus -35466.9279?\nAnswer: -36840.2279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (3 + (-2 - -2))*3. Suppose 18*h = 219 - 57. Calculate the highest common factor of h and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1584) + sqrt(1584) + 2 + sqrt(1584) - sqrt(1584))**2*-6 + sqrt(1584).\nAnswer: -38040 - 564*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 2697175 a multiple of 229?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -1 * -101458\nAnswer: 101458","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 4*11*((-20)\/(-8) + -2). Let z(l) = l**3 - 21*l**2 - 19*l - 14. Let o(j) = j + 14. Calculate the remainder when z(p) is divided by o(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -5*x**4 + 509873*x**3*z - 14885*x**2*z - x**2 - 39*z wrt x?\nAnswer: -120*x + 3059238*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 g and 1 z when two letters picked without replacement from pmmgmmpgppbzmz?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = 4*t**3 + 2*t**2 - 2*t - 3. Let g be (-19)\/(-3) + 2 + (-160)\/120. Let u(r) = -9*r**3 - 4*r**2 + 5*r + 7. Determine g*w(a) + 3*u(a).\nAnswer: a**3 + 2*a**2 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -4 - -60a54?\nAnswer: 60a50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 103 a factor of 7232248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 159*d - 252*d + 1 + 93*d - 1 + 13774*d**2.\nAnswer: 13774*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -17 - 16 + 30 + 9 + 67 - 9*j.\nAnswer: -9*j + 73","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:15 PM and 9:44 PM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 281*a = -593*a - 57558 - 18480 for a.\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 118?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 261\/176 - 17\/11. Let v = 1476 - 29593\/20. What is the common denominator of g and v?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2 - 2*q + 2 + (-1 + 2*q + 1)*(5 + 1 - 4) - q + 3*q - q + 4*q - 18 + 17 - 10*q.\nAnswer: -3*q - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is z in -62*z**2 - 18*z**3 - 8\/3 - 224\/9*z = 0?\nAnswer: -3, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -r**4*s**2 - 25095*r**3*s**2 + r*s**2 + 39385*r*s wrt r?\nAnswer: -12*r**2*s**2 - 150570*r*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v**3 - 6845190*v**2 - 150591760*v = 0. Calculate v.\nAnswer: -1369016, -22, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = 58*l**2 - 2*l + 33. Calculate t(0).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a = -v - 0*v + 25, 125 = 5*v + 3*a. Suppose 2*k = 5*k - 39. What is the remainder when v is divided by k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -7*l**3*m - 1673*l**2*m - 445*l**2 + 326634*l*m + 28*l + 2*m wrt l.\nAnswer: -42*l*m - 3346*m - 890","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in one fifth of a kilometer?\nAnswer: 20000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 46 divided by 902.\nAnswer: 23\/451","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = -k**2 - 3*k - 2. Let g be ((-4)\/4 - 3)*-2. Suppose 4*c - 2*l = g, 2*c - 5*c - 12 = 3*l. Suppose 3*a + c*i = 4*i + 7, 2*i + 8 = 0. Give w(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 36828 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 632*m**3 - 1428*m**3 + 758*m**3.\nAnswer: -38*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 386641 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -111000212110121 (base 3) to base 9\nAnswer: -14025417","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor g**2\/2 + 4358*g - 909840.\nAnswer: (g - 204)*(g + 8920)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 29 and 4226651255.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = 2*y. Let o = -359 + 377. Let g(p) = 11*p - o*p + p. Give g(u(q)).\nAnswer: -12*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 12 + 3. Let p = 10 + -5. What is the highest common divisor of k and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-2860)\/(-195) + 48)\/((1 + 2)\/30). Factor -115*c**3 + 1536 - 1\/3*c**5 + 10*c**4 - 1600*c + d*c**2.\nAnswer: -(c - 8)**3*(c - 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -438 or -482?\nAnswer: -482","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: (-5 - (-1 + -1))*1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = 0*s - 1 + 0*s - s. Let l = 90 + -90. Let v be i(l). Let x(c) = 15*c**3 - c**2 + 1. Calculate x(v).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = -a**3 + 5*a**2 - 2*a - 5. Let k be b(2). Suppose 5*w - 1004 = i + 84, k*w = -2*i + 645. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = -375*h + 135. Let t(u) = 2*u**3 - 31*u**2 + 104*u - 7. Let x be t(8). Let k(p) = -11*p + 4. Calculate x*k(z) + 4*q(z).\nAnswer: -15*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-6)\/7)\/(3*4\/(-56)). Solve -n + k = 3*z, 2*n + 3*z = 5*n - 12 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of (1\/(12\/12224))\/((-98)\/(-2205))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 38 minutes before 2:50 AM?\nAnswer: 2:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 g and 2 e when three letters picked without replacement from ejoeg.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.6 - 28.4. Let z = 27 + h. Let o = 1.9999912 + z. Round o to six decimal places.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -17*s - 14 = -252 for s.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (200\/(-12880)*-69)\/(12\/(-128)*2).\nAnswer: -40\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 69\/110500 and -141\/2380.\nAnswer: 773500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 1347500 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*w, 4*l + 3*w = 5*l - 644. Let r be l\/(-8) - 2\/(-4). Let t be (-1)\/4 + (-285)\/r*4. Do 11 and t have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 9 + -25\/3. Suppose -2\/3*u**2 + 4\/3 - l*u = 0. What is u?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3.27*-2.\nAnswer: -6.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/3, 1, 3.04, 3.89, 0.5 in increasing order.\nAnswer: -2\/3, 0.5, 1, 3.04, 3.89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -55\/2898 and 29\/27370.\nAnswer: 246330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 23 a factor of 72612646?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Divide 719039518 by 2.\nAnswer: 359519759","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -313 - -906. What is the tens digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k = -8*k - 8*k + 1088565. What are the prime factors of k?\nAnswer: 31, 2341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -11021120 (base 3) in base 9?\nAnswer: -4246","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = 485*w**2 - 2*w. Is x(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 15 - 176256\/3040 - -43. Let p = 0.3 + -0.2. Which is the closest to p?  (a) -0.4  (b) x  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 47 - (-4)\/2*149343\/4458.\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 17 + -10 - -1 - 18\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 87040 and 170?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 24*x = l - 7, -15*l - 7*l + 26*l - 4*x = -248 for l.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 27 and 9?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 12904868 divided by 6?\nAnswer: 6452434\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 59 divide 1037305045?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = 101*h + 73. Let a be i(-1). Let x be (4 - (-147)\/a)*(-3)\/15. Sort -0.3, x, -2, -33.\nAnswer: -33, -2, -0.3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -28 bigger than -111\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 divided by -74381268?\nAnswer: -1\/37190634","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express (-26 + 26 + 6*b)*(-34 - 6 + 0)*(-4 + 5 + 3) in the form o + d*b and give d.\nAnswer: -960","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/50 of a litre in millilitres?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 336269?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = -m**3 - 12*m**2 - 4*m + 12. What is the remainder when p(-12) is divided by 31?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = -q**3 + 3*q**2 + 2*q - 4. Let l be y(3). Let w be (12\/2)\/(1 - 3). Let a be w\/6*-28 + l. What is the highest common factor of 176 and a?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = -t**3 + 17*t**2 - 121*t - 100. Calculate d(14).\nAnswer: -1206","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 408146 is divided by 1898.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of ((-2024)\/(-10))\/(4 - (-638)\/(-165))?\nAnswer: 2, 3, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 3*((-320)\/80 + (-230)\/(-6)). Solve 51*k = -w - 50 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 18\/189*(-1)\/(-2)*(-98)\/7?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1320018641 to the nearest integer?\nAnswer: 36332","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = b**2 + 81*b - 1308. Calculate the remainder when (3 - 2) + 0 + 301 is divided by r(14).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k*k**(19\/4)*k*k**(-4)*k)\/(k**(-25)\/(k*k**(-18))) assuming k is positive.\nAnswer: k**(47\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 30335 divided by -779.\nAnswer: -30335\/779","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 115 - -15050?\nAnswer: 15205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = -5*g - 22. Determine t(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -77*l*t*x**4 + l*t + 267*l*x**5 + 2*l*x**2 + 1367*l*x + t*x wrt x.\nAnswer: -1848*l*t*x + 16020*l*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r\/(r*r**2))**(3\/2)*r*r**(-2\/7)\/r*r\/(r\/r**(-1\/2)))\/(r**(-1)\/(r\/(r\/r**(3\/8)))*((r**(-1)\/r)\/r)**(-37)) assuming r is positive.\nAnswer: r**(-6351\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*r - 45 + 51 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 695 is divided by 266?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -4  (b) -27  (c) 458  (d) -3  (e) 4  (f) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 49\/5 of a millennium?\nAnswer: 980","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*p**2 + 0*p**2 + 2*p**2 + (3 - 4 + 3)*(2 - 2 + 1)*(5*p**2 + 5*p**2 - 5*p**2).\nAnswer: 9*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o = 2*z - 44, -4 = 4*z + 8. Let a = o - -14. Suppose -5*d + a = -31. List the prime factors of d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 279736 + -3378. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*n**2 - 2*n**2 - 88*n**3 + 72*n**3 + 3*n + 6*n**2 - n**2 as j*n**3 + r + g*n + s*n**2 and give j.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 202 is divided by 100.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 161\/66 and 109\/264.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(sqrt(1377)*-2*-3 + sqrt(1377)) + (-2*-2*sqrt(1377))**2 + -5.\nAnswer: -252*sqrt(17) + 22027","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 8\/(-3)*(-249)\/3652?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -334.22 - -338. Let y = -2.7 + r. Let x = y - 0.08. What is the second biggest value in x, -2\/7, 3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 5125 and 615.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 12 - ((1 + -5 - 4) + (-4 - -8))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 11928 and 34293?\nAnswer: 1491","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: (-7)\/20 - (-14)\/(-35)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 672587*g**4 + 210901*g?\nAnswer: 8071044*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2524?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 86ab3b (base 15) in base 12?\nAnswer: 219449b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = -3*w - 5. Let v be r(-2). Is ((-1)\/2)\/(v*2\/(-644)) a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -108172688 divided by 30836\nAnswer: -3508","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 89477.1499872 + -89477. Let g = 0.15 - y. What is g rounded to 6 dps?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -156663433*s + 313326842*s + 3*s**2 - 156663409*s.\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 133 a factor of 1079799336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-1 - 0)*2\/(-2). Let f(l) = 3*l**2 + l**2 + 4*l - 5*l**2 + 2*l**2 + o. Let m be f(-3). Let d(g) = 4*g + 2. Give d(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 9\/(-24) + (6 - 6\/1).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-30)\/(-2) - (-11 + 45 + -29). Solve t*a - 31 = -111 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -6 + 8. Suppose 5*t + 35 = l + 52, -2*l = 2*t - 14. Sort i, l, 0 in decreasing order.\nAnswer: l, i, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -2*(-511)\/(-28) - 2\/(-4). Let u = 55 + m. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 260 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -64*k - 112 + 368 = 0. Solve -k*z = 2*p + 17 + 3, -2*z - 4 = 0 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 4, -5, 3, 11, 2681 in decreasing order.\nAnswer: 2681, 11, 4, 3, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 900 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -169 + 174. Which is the nearest to -1?  (a) 1\/2  (b) u  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -374*v**2 - 378*v**2 + 783*v**2 - v + 2 to the form d + h*v + f*v**2 and give f.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -1317, -4036, -8379, -14340, -21913, -31092, -41871, -54244?\n\"Answer: z**3 - 818*z**2 - 272*z - 228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.14315008 to three decimal places.\nAnswer: 0.143","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ss when two letters picked without replacement from fdcssceg?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -2859, -2868, -2877, -2886?\n\"Answer: -9*u - 2850","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 312\/(-140) - 1*-3. Let t = x + -4\/7. What is the common denominator of (-12)\/27*74\/4 and t?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 1285 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 744\/(-279)*5\/((-330)\/77)*-1.\nAnswer: -28\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -4 + 69810\nAnswer: 69806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x + 39 = 53. Let q be (-1)\/(-2)*12\/2. Let -4*k + 6*k**q - 11*k**3 + k**2 + k**4 + x*k**2 = 0. Calculate k.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-27)\/(-2) + 7\/2*(-4580)\/1603.\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 52, 60, 80, 118, 180?\n\"Answer: w**3 + w + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = h**3 - 7*h**2 + 4*h + 4. Let u be v(4). Let f be (-14)\/(-8) - 7\/u. Find the second derivative of 2*x**4 - f*x**4 - 2*x**5 - 4*x + 5*x**5 wrt x.\nAnswer: 60*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w - 24 = -3*w. Suppose -3*h + z + 52 = 0, 4*z + 22 = w. Calculate the highest common factor of 32 and h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3667.\nAnswer: 19, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 5803956?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = 15*y**2. Let h be t(1). Suppose -8 = -k + h. List the prime factors of k.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = l + 2*l + q + 5, 0 = -3*l + 3*q + 3 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = 5*i**3 - 8*i**2 + 36*i - 14. Give h(6).\nAnswer: 994","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 83\/942 and -109\/62076.\nAnswer: 9745932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 1545844141 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m + t + 18 = 0, -5*m - 20 = -t + 25. Let g(v) = 748*v - 9. Let j be g(-7). Is j\/m + (-8)\/(-36) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.15868 rounded to three dps?\nAnswer: -0.159","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 21269 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 6 - 4. Let v be (156\/42 - 4) + 60\/14. Suppose 14*h**v - 2*h**2 + 0*h**3 - 12*h**4 + 2*h - z*h**3 = 0. What is h?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = 2*a**2 + 5*a + 38. Let b(p) = -p**2 - 3*p - 19. Determine 5*b(x) + 3*g(x).\nAnswer: x**2 + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -3 - 52b747?\nAnswer: -52b74a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.297597197 to 2 dps.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 41519738 is divided by 10379933?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 217 a factor of 21370811?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.5 times -0.34?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-4)\/(-20))\/(4\/(-12)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -66*a**3*f**2 - 1178*a**3*f - a**2*f**2 + a**2*f + 2*a**2 - 4*a*f**2 - 3*f**2 + 8*f wrt f?\nAnswer: -132*a**3 - 2*a**2 - 8*a - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 23 + -19. Solve 0 = r + 5*v + f, -v = -r + 5*r - 3 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 3690?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = 4*b - 9*b. Suppose n - 40 = -b*n. List the prime factors of 18\/45 + 176\/n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -6.9 + 6.39. What is d rounded to one decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 107 minutes before 7:50 PM?\nAnswer: 6:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 17, 0.04, 50, 5?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -12 + 17.2. Let t = x + -0.2. Which is the third smallest value?  (a) t  (b) -0.5  (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0 + -1. Suppose -g + 12 = 8. What is the biggest value in n, g, -1\/3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.01728377 to four dps.\nAnswer: -0.0173","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = -31*s + 70. Let n(x) = 21*x - 47. Determine 7*n(g) + 5*w(g).\nAnswer: -8*g + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -5 - -2. Sort 4, -2, c in descending order.\nAnswer: 4, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 45607 - 22076. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-57376)\/726)\/(-16) + 2*(-1)\/(-6)*-15?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-32)\/(-3)*(-36)\/(-16). Let u(t) = -3*t**2 + 5*t + 2. Let h be u(-2). Let j be (k\/h)\/((-2)\/160). What is the greatest common factor of 16 and j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 122 and 36112.\nAnswer: 36112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 65\/9 and 121\/60.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -25*m**2 + 98 + 6 + 7*m**2 - 38*m**2 + 7 + 2*m wrt m?\nAnswer: -112*m + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.08 - 3.08. Let u(c) = c**2 - 6*c + 3. Let a be u(6). Let m be a*(2\/12)\/1. Sort x, m, 4 in increasing order.\nAnswer: x, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1122 (base 10) to base 15.\nAnswer: -4ec","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in l + 2069*l**2 - 853*l**2 - 1221*l**2 - l.\nAnswer: -5*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -3\/5, -1, 7, 5\/6?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z = 5*p - 3, -4*p + 4 + 0 = -2*z. Let c = 3 + 4. Let j = p + c. Let n(t) = t**3 - 6*t**2 + t - 1. Give n(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f - 32 = -138. Suppose 0 = -5*u - 5*c + 550, -u + 2*u = -3*c + f. Calculate the highest common factor of u and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4138 is divided by 143?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b - 3*k = -8*b + 1179, k + 237 = b. Calculate the highest common factor of b and 78.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 87671?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 270 - 254. Let u(q) = 4*q**2 - 29*q + 19. What is the units digit of u(h)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**4\/(t\/(t**(-3)*t*t*t*t))*(t*t\/(t**(-5\/6)*t*t*t))\/t**7)**(-1\/23) assuming t is positive.\nAnswer: t**(19\/138)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -694 (base 10) to base 16\nAnswer: -2b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 2.3 + -2. Let b = 18 - 31. Let t = -18 - b. Put f, 1, t in decreasing order.\nAnswer: 1, f, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = -2*o. Suppose -3*z = -s + 31 - 2, s = -4*z - 41. Let i be (-8)\/z*(-40)\/(-16). Calculate l(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 7.7 in 0, -4, 4, -1\/3, -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -2110022 (base 3) in base 6?\nAnswer: -12142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 146*h**3 - 274*h**3 - 21808*h**2 + 126*h**3.\nAnswer: -2*h**3 - 21808*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 1656, 6236, 13870, 24558, 38300, 55096?\n\"Answer: 1527*c**2 - c + 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = -2*r**3 - 13*r**2 - 10*r - 3. Determine u(-6).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -1\/5, -211, 1\/4?\nAnswer: -211","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = -7*l**2. Let y(f) = -3*f**2. Let h(t) = -12*t + 91. Let w be h(8). Calculate w*y(z) + 3*r(z).\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 36559?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 729 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) be the second derivative of -d**3\/3 + 4*d. Let t(a) = -21*a. What is m(t(p))?\nAnswer: 42*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 10074?\nAnswer: 2, 3, 23, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -2\/309  (b) -46204  (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -889 - -1?\nAnswer: -888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -1*(-30)\/40*-4*16\/4\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express (18 - 5 + 6)*(2 - 2 + 6)*(-137 + 137 - 50*y)*(-2*y**3 + 0 + 0) in the form a*y + n + t*y**4 + u*y**3 + r*y**2 and give t.\nAnswer: 11400","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-40)\/(-100)*20\/3. Solve -2\/3*l**2 - f - 8\/3*l = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -880.39*260\nAnswer: -228901.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 13\/5 of a decade?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -6 - -2. Let p = -304\/1551 + 2\/141. What is the closest to -1\/2 in u, p, 0.04?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -76\/20043 and -32\/5895.\nAnswer: 100215","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000990935 to 5 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 496, 1004, 1512, 2020?\n\"Answer: 508*t - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8890919?\nAnswer: 8890919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 100 + -88. What is the remainder when 143 is divided by c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 35 in 7, 4, 0.0208?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2695 and 61287485?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -52663191 divided by -287777?\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify t**(-1\/6)*t*t**8*t assuming t is positive.\nAnswer: t**(59\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 166*s**2*x**3 + 2*s**2*x + 4*s*x**3 - 875*s*x wrt x?\nAnswer: 996*s**2*x + 24*s*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 20463116 and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t**1*t)\/t**(-10))\/(t\/(t*t**6)*t**(-5)) assuming t is positive.\nAnswer: t**23","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 21408 - 19724. Sort 3, s, -5, -1.\nAnswer: -5, -1, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/(60\/14)*4\/(-28)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -14 + (-18 - 7) - ((0 - (-6 + 5)) + 8)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b + 4*b + 170352 = 0. Let l be -1 + 9463*(-2)\/b. Let o = l + 477947\/141960. Calculate the common denominator of o and 43\/27.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 21578679 is divided by 148?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert -13111544 (base 6) to base 9.\nAnswer: -724021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7510 - 10122 = 1102*s for s.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -99\/43358 and 53\/1463?\nAnswer: 476938","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 128331 and 236292?\nAnswer: 14886396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -306\/5 + 61. Which is the third biggest value?  (a) -0.4  (b) n  (c) -0.12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 4\/(-42) - 1878045\/(-819). Let l = w + -824. List the prime factors of l.\nAnswer: 13, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 68 divide 52292?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2b511 (base 14) to base 16.\nAnswer: 1a5eb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Add -0.2 and 968372.\nAnswer: 968371.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -39*d = 2*w - 32, 2*w + 3*d = 52140 - 52108 for w.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(432) + -2 - sqrt(432))**2 + 5 - 4*(sqrt(3) - sqrt(27))*2.\nAnswer: 9 + 16*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 356919?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence alaj when four letters picked without replacement from jajlaggaagj.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v - 4*v = 30. Let o = v + 21. Let w = o - -1. What is the least common multiple of 10 and w?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -51, -73, -97, -123, -151, -181, -213?\nAnswer: -247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = -3547*l + 56724. Calculate j(16).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) be the first derivative of -3*p**2\/2 - p + 3. Let o be j(-2). Suppose -3*l = w - 0*l + 2, 0 = -o*w - l + 4. Sort w, -6, 2 in ascending order.\nAnswer: -6, w, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 22*t + 21 = -5*i + 20*t, 0 = -5*i + 4*t - 3 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from wssrsssrrrs. Give prob of picking 1 w and 1 r.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*x = 2*j - j - 2*j - 64, 3*j + 104 = -5*x for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 29\/21 and 32\/(-3)*(5 - (-71)\/(-14))?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 265123.4 centimeters in nanometers?\nAnswer: 2651234000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 15 a factor of 956100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 247 - 247.4. Let z = 37 + -33. Suppose -11 = -d + 4*t, 2*d + 5*t + z = -0*t. What is the closest to w in -0.5, d, 2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-5)\/4*((-160)\/50)\/((-10)\/(-20))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = 40*c + 4 - 1 - 35*c. Let i = -125 - -125. Calculate the least common multiple of 24 and s(i).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = 6*q**5 + 13*q**4 + q**3 - 13*q**2 - 7. Let a(b) = 3*b**5 + 7*b**4 + b**3 - 7*b**2 - 4. Let p(n) = -7*a(n) + 4*h(n). Factor p(m).\nAnswer: 3*m**2*(m - 1)*(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find w, given that w**4\/6 + 535*w**3\/6 + 8680*w**2\/3 - 151370*w\/3 - 111776 = 0.\nAnswer: -499, -48, -2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 38 + (185 - 183) + (33 - 5)?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -45*k**2*q**2 + 41*k**2*q + 2*k - 2061*q**2 - 5 wrt k?\nAnswer: -90*q**2 + 82*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 0\/((-2)\/4*-2). Suppose h + 2*h - 30 = m. Let d(t) = 2*t**3 - t**2 - 5*t + 3. Let j be d(2). Solve 2*k - 4*k = c + h, 5*c - j*k = 25 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 2 - -1731. List the prime factors of m.\nAnswer: 1733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.2  (b) -0.9  (c) -0.7  (d) -3  (e) 3.1  (f) -0.5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/4 in -0.1, 0.00434, -3\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 10 - 12 - (-1 - -4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 159425.\nAnswer: 5, 7, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = 23*l - 854. Let g be p(37). Sort -0.14, g, -10 in descending order.\nAnswer: -0.14, g, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) be the second derivative of 0 - 1\/3060*h**6 - 10\/3*h**3 - 20*h + 0*h**2 - 1\/1020*h**5 + 0*h**4. Let l(v) be the second derivative of b(v). Factor l(k).\nAnswer: -2*k*(k + 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-3)\/(-6))\/(6\/24). Suppose 154 = 2*h + 2*f, q*h = -4*f + 143 + 5. What is the tens digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*sqrt(95) + sqrt(95))\/sqrt(5) + (-4*sqrt(133)\/sqrt(7))**2.\nAnswer: -2*sqrt(19) + 304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1138 is divided by 372?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -1, 4, 8, 1 in descending order.\nAnswer: 8, 4, 1, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-34965)\/(-2590))\/(1\/(-2))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is -2 greater than 74?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 4471 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 19733018?\nAnswer: 2, 9866509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = -4*f**2 - 5*f. Let b = -1065 - -1067. Let o(x) = -x**2 - x. Give b*l(v) - 9*o(v).\nAnswer: v**2 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 534507 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -8 + (6 - (7 + (-10 - (-11 + 5)))).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 2, u: 9, e: 5}. What is prob of sequence eu?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 17\/2 or -2.31?\nAnswer: -2.31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 295088?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*u = -s - 18, -304*s = 1392*u - 306*s + 4170 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = -5*d**2 + 5*d + 446. Let b(r) = r**2 - r + 1. Give 7*b(z) + g(z).\nAnswer: 2*z**2 - 2*z + 453","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 18946 and 156.\nAnswer: 2955576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = k**2 - 7*k - 8. Let x be l(8). Let a(z) = z**3 - z + 32. Is 16 a factor of a(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*r - 4*v + 10, 2*r + 5*v = -0 - 13. Suppose -3*s - 5 + 35 = 0. Suppose -s = -r*d + d. Solve k + 4*u = -34 + 10, 0 = d*k - u + 3 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 n and 1 l when two letters picked without replacement from slnnn?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -4\/9  (b) 2  (c) -1\/24  (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:15 PM and 5:40 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 4 - 2. Suppose y + 4*o = -340016, k*y + 280931 = -2*o - 399077. Round y to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -6*g*m*y**2 + 2*g*m*y - 2*g*m - 1335*g*y**2 + 2*g*y - 1929*m*y - 2*m - 3*y**2 + 2 wrt y.\nAnswer: -12*g*m - 2670*g - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = k**3 + 16*k**2 + 20*k + 16. What are the prime factors of f(-8)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (9*y + 5 - 5)*(-y**3 + y - y) + (3*y**3 - 3*y**3 + 4*y**3)*(45*y - 19*y - 171*y) as d*y**4 + j*y + c + s*y**2 + r*y**3 and give d.\nAnswer: -589","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve i + 24 = -4*i + 4*a, 0 = i + 3*a + 1 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -5, -2, -49?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = o - 7. Let h(b) = -b + 6. Let a(n) = -3*h(n) - 2*x(n). Let q(g) be the first derivative of 3*g - 81. Calculate -5*a(r) - 6*q(r).\nAnswer: -5*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4590085979?\nAnswer: 4590085979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -5 + 19. Let r(f) = 3*f**3 - 2*f**3 - 15*f**2 + f**2 + 0 - 5 + 2*f. What is the remainder when r(d) is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 626461 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = -2*i**3 + 4*i**2 + 10*i - 6. Let s be c(4). Calculate the least common multiple of 6 and s + 26 + -24*(1 + -2).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence agr when three letters picked without replacement from rag?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.3 and -0.0363?\nAnswer: 0.01089","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*k + 0*k = -136. What is the remainder when -27*2\/(-1) + -4 is divided by k?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*u**2 - 2*u**2 + 507*u**3 + 90 - 89.\nAnswer: 507*u**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -10906 + 3?\nAnswer: -10903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 71796 and 372?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 (base 16) in base 5?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 7942090 at most as big as 7942090?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:28 AM and 3:05 PM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh smallest value in 1, 35, 2\/5, 5\/9, -0.1, -1, -0.14?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 44 - 18. Calculate the highest common factor of 13 and m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) be the first derivative of 129 + 0*t**2 + 0*t**3 - 23\/4*t**4 - 85*t. Differentiate o(r) with respect to r.\nAnswer: -69*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 57208280 divided by 4?\nAnswer: 14302070","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 7 + -11. Let i = 9 + q. Let r = -2 - -2.4. Which is the third biggest value?  (a) i  (b) 1\/8  (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -2.652 + 2.6. Let x = 5.252 + m. What is x rounded to 0 dps?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = 24*q**4 - q. Let n(m) = -25*m**4. Let c(v) = -4*l(v) - 3*n(v). Find the second derivative of c(y) wrt y.\nAnswer: -252*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) be the second derivative of d**3\/2 + 10*d - 8. Let p(z) = 7*z**2. Give p(f(u)).\nAnswer: 63*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = y**3 - y**2 - y - 1. Let m(j) = -4*j**3 - 4*j**2 + j - 7. Let g(a) = -m(a) - 3*x(a). Let d be g(-7). What is the units digit of (1 - -19)*(-2)\/d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-3)\/(-12) + 14\/8. Let t(x) = 5 + 3*x**2 + 13 - 3*x**2 - x**n + x. What are the prime factors of t(0)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000099890624 rounded to seven dps?\nAnswer: 0.0000999","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 2 - -44. Let a = -45.981 + t. Let p = 0.0124 - a. What is p rounded to three dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**(-1\/21)\/(m**(-8)\/m))\/(m**15\/(m\/m**(-12))) assuming m is positive.\nAnswer: m**(146\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 216\/427 greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = q**3 + 7*q**2 + 9*q + 9. Let l be g(-6). Let p be (1 + l + 3)\/(-1). Calculate the highest common factor of 45 and p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z = 2*z - 144. Suppose 2*t = -18 + z. Solve -4*p + 26 = -3*h, h - 2*h - 17 = -t*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-5912004)\/(-20) + 5\/(-25). What is u rounded to the nearest 10000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) be the second derivative of -l**4\/78 - 109*l**3\/39 + 110*l**2\/13 + 556*l + 2. Factor d(b).\nAnswer: -2*(b - 1)*(b + 110)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 338566 and 28.\nAnswer: 4739924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4 + 3)*18 + 881456\/48901?\nAnswer: 2\/79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*k**5\/7 + 46*k**4 - 7974*k**3\/7 + 14990*k**2\/7 - 1048*k = 0. What is k?\nAnswer: 0, 1, 28, 131","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 61861 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: (-26*(-6710)\/(-4758))\/((-2)\/6)\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 412758 + 2133019.\nAnswer: 2545777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 13, 10, -5, -38, -95?\n\"Answer: -y**3 + 4*y + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 452682 and 8399766?\nAnswer: 75597894","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3?  (a) -1\/15  (b) -0.5  (c) 5  (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -139\/42 and -13\/21.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = n**2 - 2. Let r(f) = 9*f**2 - 12. Let q(c) = 6*k(c) - r(c). Let t(o) be the first derivative of o**3 + 1. Calculate q(t(a)).\nAnswer: -27*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 391257.\nAnswer: 3, 43, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -78.502*-0.1\nAnswer: 7.8502","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -4d (base 14) in base 8?\nAnswer: -105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -1*(-5)\/(-5) + 12*1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -2  (b) 1\/60  (c) 0.3  (d) -1301\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -463\/2 + 2564\/11. Let w = -182\/5 + 357\/10. Calculate the common denominator of w and p.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*p**2 - p**2 - p**2 - 15*p**2 + p**2 + 2*p**2 + (-3*p + 3*p - p)*(-2*p + 0 + 0).\nAnswer: -16*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 600 - -1.\nAnswer: 601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v = 3*c + 60 + 105, -3*c - 5*v - 157 = 0. Let t = -19 - c. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-266)\/570)\/((-294)\/(-9870)).\nAnswer: -47\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.002712 rounded to three dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = q**3 + 7*q**2 + 9*q + 2. Calculate p(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = -z**2 - z. Let o = 15 + -14. Let q(d) = 4*d**2. Let b(p) = o*q(p) - n(p). Find the second derivative of b(t) wrt t.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 483, 1354, 2599, 4206, 6163, 8458, 11079, 14014?\n\"Answer: -2*f**3 + 199*f**2 + 288*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 62, 206, 446, 782, 1214?\nAnswer: 1742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 137786?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 4}. What is prob of picking 2 o?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1322 + -1184. What is the greatest common divisor of z and 782?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 58578 and 1846.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*sqrt(13)*-4 + 2 + ((2*sqrt(117))\/sqrt(9) - sqrt(39)\/sqrt(3)*2) - (2 + -2*sqrt(13) + -3 + (sqrt(13) + -1 + 2 - sqrt(1573)*-1))**2.\nAnswer: -1298 - 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 875 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 21 + -20. Suppose -4*r = 5*a - 49 - q, 5*a = 2*r + 20. Let o be (-2)\/2 - (3 - a). Solve -2*l - o*l = 8 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2155*l**6 + 1884*l**2 wrt l?\nAnswer: 258600*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0.059996842 - -31700602.940003158. Let c = a - 31700863.00109. Let o = c + 260. Round o to four dps.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5\/87826 >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round -4.0859 to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1063*c + 1070*c - 2133*c + 6*c**2.\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -1  (b) -2\/13  (c) 0.2  (d) -171792\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) be the second derivative of o**6\/5 - 491*o**4\/12 - 801*o**2\/2 + 4072*o. Find the first derivative of z(n) wrt n.\nAnswer: 24*n**3 - 982*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-7)\/(-1))\/(32\/416*-13).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 337 divided by -179940\nAnswer: -337\/179940","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -19095 divided by -49?\nAnswer: 19095\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 23 - 23.2. Let l = 0.229 - 1.129. Which is the nearest to l?  (a) f  (b) -2  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by -356685?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 142\/3408 + (-1 - (-2135)\/2200)?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -y - 4*w + 17, 0 = -7*y + 3*y - 3*w + 3 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s = 4*m - 17, -3*m + 8*s + 6 = 11*s. Let y(h) = 1 + 25*h**3 - 46*h**3 - 4*h - 2*h**2 + 22*h**3. What is y(m)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 38 divided by -50\nAnswer: -19\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -325 + 4877\/15. Let i = 0.1 + -0.1. Let j = 0.5 + i. What is the nearest to -0.1 in c, j, 5\/2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = 326*x**2 - 37*x - 111. Is 169 a factor of k(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -15 - -18. Sort i, -5, -2\/5 in decreasing order.\nAnswer: i, -2\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b - 15 = -3*g, b + 0*b = 5*g - 5. Let r be (-80)\/(-45) - 0 - 2\/(-9). Solve g = -4*f + r*f - 10 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*(sqrt(539) + -3 - sqrt(539)))**2.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 5730365789184.7939873 + -5730365539338. Let g = -249847 + t. Let b = g - -0.206. What is b rounded to 6 dps?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 1186, 2293, 3384, 4459, 5518, 6561?\n\"Answer: -8*s**2 + 1131*s + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express (-w + w - 2*w)*(-w + 2*w + w)*(-18 - 12 + 1)*(-2 + 3 - 2) in the form l*w**2 + j*w + p and give l.\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 77*q**5 + 7*q**4 + 321*q**3 - 167676*q wrt q?\nAnswer: 1540*q**3 + 84*q**2 + 1926*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = -3*i - 2. Let h(j) = -2*j - 1. Suppose -6*s = -5*s. Suppose s = -q - 3 + 9. Determine q*v(t) - 10*h(t).\nAnswer: 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -13 + 30. Suppose 7 = 3*w - k. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1016 - -1016.21. What is the closest to 0.07 in v, -0.3, 4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o + 15 = -o. Suppose 5*t + 11*b - 6*b + 3080 = 0, -3*b = o*t + 3080. Let g = -421 - t. What is the greatest common factor of g and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = -15*z - 2. Does 10 divide c(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 120221110201112 (base 3) to base 11\nAnswer: 4867956","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 23.277701 rounded to one dp?\nAnswer: 23.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 48 and 1026456?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -59 + 59. Let p = 10 + b. Suppose 0 = t - x - 1, -3*t = 3*x + x - p. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) be the first derivative of -1637*r**4\/4 + 670*r**3\/3 + 6464. Find the third derivative of i(w) wrt w.\nAnswer: -9822","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 922 + -13849\/15. Is h > -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 585461 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((-3*sqrt(300) + sqrt(300))\/sqrt(12))\/(sqrt(720) - (3*sqrt(720) - sqrt(720))))**2*-5 + -1.\nAnswer: -61\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -0.008  (b) -5  (c) 0.3  (d) 51\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -16373*g**4 + 68*g**2 - 6*g?\nAnswer: -392952*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -8, 2, -43 in decreasing order.\nAnswer: 3, 2, -8, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*k + 20 = 5*k. What is the second derivative of k*u + 4*u**2 - 4*u**2 + 0*u**2 + 3*u**5 wrt u?\nAnswer: 60*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o = -4*d + 438, 4*o - 75 = -d + 509. Suppose 5*x + 79 = 2*j - 4*j, 4*j - 2*x = -o. Let h = -43 - j. Let c(n) = -n - 7. Calculate c(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do -32598 and -32491 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 5701, 22803, 51305, 91207, 142509, 205211, 279313?\nAnswer: 364815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 43130958*b**2 + 115179*b + 1?\nAnswer: 86261916","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = 1714*o. Let l(s) = -38884*s**2. Determine l(a(z)).\nAnswer: -114233259664*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = 20*h**3 - 5*h**2 + 6*h - 11. Let n(w) = 10*w**3 - 2*w**2 + 3*w - 5. What is -4*l(b) + 9*n(b)?\nAnswer: 10*b**3 + 2*b**2 + 3*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*b - 3*w = -4*b - 20, -2*w = -4*b + 8. Solve 4 = -2*h + b*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r + 8 = -b, b + 7 = -3*r - b. Let q be (-1 + 8)*(2 - r). Let f be 3\/(2 - 1\/2). Solve 3*w - 6*w + 4*o = q, 5*w + f = -3*o for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = -u, 3*v + 10*u = 15*u + 13148. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0 - -3. Let q be 0 + j + (-11)\/11. Suppose -3*t = k + 6, 2*t - 6 = q*k - 18. Solve m - 22 = 5*n, 4*n + m + 8 = -k*m for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -7 + 19. Suppose 3*l + l = q. Solve 3*a = x - 10, l*x + 0*x = 4*a + 5 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.05 in -119\/4, -97\/5, 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -325358612, -325358614, -325358626, -325358654, -325358704, -325358782, -325358894, -325359046?\n\"Answer: -l**3 + l**2 + 2*l - 325358614","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1010522454 by 6.\nAnswer: -168420409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -3, -5, 3, 12591 in decreasing order.\nAnswer: 12591, 3, 1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-3)\/15 + (-1896)\/(-5). Suppose -a = 37 + 128. Let j = a + u. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -742 - -1350. What are the prime factors of y?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in one fifth of a kilometer?\nAnswer: 20000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = 6217*r. Let i(u) = -2*u**2. Determine q(i(a)).\nAnswer: -12434*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 4047120 and 101178.\nAnswer: 4047120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = -s + 2. Let r(x) = x**3 - x**2 - 4*x + 6. Let v = -1 + 3. Let u(i) = v*r(i) - 7*y(i). Let t be 8\/10*5\/2. What is u(t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-9 - 0)*(-1144)\/12. What is the remainder when (-4)\/(-18) + c\/27 is divided by 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -k**2 - 2*k**2 - 87*k + 2 + 5*k**2 as p + j*k + i*k**2 and give j.\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*j**3 + 0*j + 40808*j**2 - 3*j**3 - 40056*j**2 - 4*j as l + o*j + u*j**3 + w*j**2 and give w.\nAnswer: 752","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = -9*g - 2. Let k(z) = 6*z + 3. Let b(a) = -5*a - 2. Let d(v) = 5*b(v) + 4*k(v). Let j be d(4). Does 9 divide w(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = m**3 - 4*m**2 + 1. Let w be f(3). Let j(g) = -g**2 - 14*g + 27. Let d be j(-15). Let c = d + w. Solve -2*b = -b + c for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -4.04 and -0.5.\nAnswer: 2.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -11 + 15. Let g = -2 + w. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 540750 to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 1.17 from -7405.\nAnswer: -7406.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3411*d**3 - 711*d**3 - 217*d**3 + 4035*d**3.\nAnswer: 6518*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gtd when three letters picked without replacement from ggdgddqudggdtd.\nAnswer: 5\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 805719.6l to millilitres.\nAnswer: 805719600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 838\/(-10) + -2 + 54\/30. Let m be (63\/f)\/(2\/(-56)). Solve -5*g - m = 2*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*v + 9*v = 2560. What is the remainder when v is divided by 43?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 7065?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 4468307?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 2*(34\/(-16))\/17\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 19579 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Work out 5477 * 851.28.\nAnswer: 4662460.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand -298*b + 103*b + 6*b**2 + 102*b - b**2 + b**2 - 2*b**2 + (b - 3*b + 0*b)*(-3*b - 4*b + 5*b).\nAnswer: 8*b**2 - 93*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*t - 0*t - 20, 0 = -2*y - 3*t + 5. Calculate the lowest common multiple of y and 94.\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -15 in -55, -1\/2, -47, 4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 6.01 + -0.01. Let s = r - 8. Let j = -2 - -1.6. Which is the closest to -1?  (a) s  (b) j  (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3 + 0 - 7*h**2 - 2)*(1417 - 1417 + 2448*h) to v*h**2 + t + z*h**3 + k*h and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = -x**2 - x + 2. Let p = -655 - -656. Let u(g) = 68*g + 136. Let c(b) = p*u(b) + 4*l(b). Factor c(t).\nAnswer: -4*(t - 18)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 122 - 118. Does 59 divide (r\/6)\/1*(-3 + 357)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2497?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (4\/6)\/(1 - (-76)\/(-84)). Suppose 4*c - 14 = 3*g - p, g = -5*c + 4. What are the prime factors of 4*g*(-81)\/6?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -52 + 17 = c - 4*c + 2*u, 12*c - 150 = 3*u for c.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -438 divided by -2\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = u**3 - 9*u**2 + 17*u - 25. Let p be m(7). Which is the third smallest value?  (a) -3  (b) p  (c) -0.5  (d) 0.32\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence cg when two letters picked without replacement from igitccccgciic?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is -8354 less than or equal to -7689?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*r + 142 - 46 = 17*r. What is the highest common factor of 8256 and r?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 310 minutes before 8:58 AM?\nAnswer: 3:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -3  (b) -2  (c) 3  (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -502, -1, -0.5, -4, -3\/17?\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u + 3*j - 28441 = -9079, 3*u = 3*j + 19332. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6 + 2154*o**2 + 738*o**2 - 6.\nAnswer: 2892*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c\/(c\/c**40))\/c*c*c\/(c*c**(-6\/7)) assuming c is positive.\nAnswer: c**(286\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fzfz when four letters picked without replacement from ffzffzz?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 4399424610 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -37 + 19. Let w be (64\/96)\/((-22)\/t - 1). Solve -2*h + w = -1 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 708 minutes after 9:10 PM?\nAnswer: 8:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jltctcetjetlal. What is prob of picking 1 l and 1 t?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = i**2 - 12*i + 35. Let v be d(7). What is the nearest to 2\/7 in 2\/5, v, 2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -116\/7 or -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5620.\nAnswer: 2, 5, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = -q**3 + 10*q**2 - 3*q - 20. Let p be n(9). Which is greater: 35 or p?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5508400 rounded to the nearest 10000?\nAnswer: -5510000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -4 + 3.8. Let u = -0.05 - 0.95. Let m = u + 1.3. What is the closest to z in 0, m, -0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 7668*j + 389 - 389 + 18165*j to the form f + m*j and give m.\nAnswer: 25833","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = -3*t**2 + 3*t. Let r(b) = 3*b**2 - 3*b. Let u(f) = 4*p(f) + 3*r(f). What is i in u(i) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6420 = 783*t - 462*t for t.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 780 divided by -4.\nAnswer: -195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 17*f - 9*f - 24. Let h(c) be the third derivative of 1\/4*c**4 - 1\/60*c**5 - 3\/2*c**f - c**2 + 0*c + 0. Factor h(x).\nAnswer: -(x - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 53312\/19 - 2806. What is the fourth biggest value in -2, -0.6, n, -57?\nAnswer: -57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = r**2 - 51. Let u(f) = -6. Let n(t) = -6*c(t) + 51*u(t). Let l(g) = 2*g**2. Give n(l(i)).\nAnswer: -24*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1830508.\nAnswer: 2, 421, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = -11*v. Let u(h) = h**3 - 12*h**2 + 2*h - 25. Let t be u(12). What is a(t)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 32 >= -26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -9016 divided by 4?\nAnswer: -2254","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -282*c + 438*c + 355*c.\nAnswer: 511*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.3, -2, -4, -496.\nAnswer: -496, -4, -2, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-8)\/10 + (-4)\/(-10). Let p = 4 + -4. Which is smaller: p or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in -19\/11, -3, 4.4, 0?\nAnswer: -19\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*b - 3*b = 9. Suppose b*c + 3*m = -2*c + 137, -3*c + 5*m = -55. List the prime factors of c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 1202 - 6?\nAnswer: 1196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 103 divide 1676332519?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 1\/(6 + (102\/9)\/(-2)). Let u(o) = 0 - 3 - 2*o + g + 4 - 5. Determine u(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i*i*i**12*i)**(1\/17)*(i\/(i\/i**5*i))\/i**(12\/5))**(-1\/12) assuming i is positive.\nAnswer: i**(-211\/1020)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: ((-290339)\/(-2261) + -133)*-17\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 6\/(-12)*(23 - 1). Let q = 11 + v. Solve q = 3*r - 2*r - 2 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -358.99999791 + 359. Round d to 7 dps.\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.4 times 454?\nAnswer: 181.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:46 PM and 11:04 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 616 is divided by (4 - 1489)\/(-9) - 2 - 8?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 - 2 - (26 + -24)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = -2*k**2 - 50*k + 9. Let g(o) = -16*o + 3. Calculate 3*a(t) - 8*g(t).\nAnswer: -6*t**2 - 22*t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x - 158 = 127. Let k(u) = -2*u + 5. Let l be k(-4). Suppose -d + 2*d + 2*o = l, 5*o + 80 = 5*d. What is the remainder when x is divided by d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l - g + 5*g + 13 = 0, -l = -2*g - 9. Suppose l*p - 14 = 11. Solve s + s + 5*f + 10 = 0, -p*s - 25 = -3*f for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 13501 - 13501.19982. Let q = 0.1 - 0.3. Let n = k - q. Round n to 4 dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 40 divide 3480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = -70*f - 48. Is k(-4) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) be the first derivative of 35*b**4\/2 + b**3\/3 + b**2\/2 + b + 2. Let c be v(-1). Let a = c + 138. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g*g\/(g**(-4)*g*g)*g*g\/(g\/(g*((g\/(g**(5\/2)\/g*g*g)*g)\/g)\/g*g*g))*g**(-3\/2)\/(g\/(g*g\/g**(6\/5)*g)*g))**(-12))**(-50) assuming g is positive.\nAnswer: g**1680","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.504 less than -0.29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 6\/11 in 25, -19, 13, -13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express -t - 3*t + 4*t + 48*t + 3 in the form k*t + c and give k.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is p in -5*p**4\/2 - 357*p**3\/2 - 3306*p**2 - 4354*p - 1224 = 0?\nAnswer: -36, -34, -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 58.5 - 59. Which is the closest to -10?  (a) h  (b) -5  (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*-1*sqrt(1323)*-4)\/(sqrt(324) + 1*sqrt(324) - -4*(sqrt(9) + sqrt(9)*3)).\nAnswer: -2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 2884, 2900, 2912, 2920, 2924, 2924, 2920?\n\"Answer: -2*j**2 + 22*j + 2864","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -100 + 65. What is the common denominator of 311\/(-15) + (-14)\/j and 29?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) be the first derivative of 4041*s**5\/5 - 3973*s - 4552. What is the first derivative of r(f) wrt f?\nAnswer: 16164*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) be the second derivative of 19\/4*d**5 + 31*d**2 + 0 + 0*d**4 + 0*d**3 + 94*d. What is the first derivative of k(r) wrt r?\nAnswer: 285*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -99484486*w**4 - 183571043*w**2?\nAnswer: -2387627664*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -3978 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1668 = -4*t + 5*f - 451, 4*f = t - 318. Suppose 3020 - t = b. Suppose 0 = -p + 3*p - b. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -317 = -24*i - 365. Which is the second smallest value?  (a) 0.5  (b) 42  (c) i  (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 76649?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Do 75781 and 75781 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = -19*h - 178. Is 18 a factor of r(-34)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 63644 (base 8) to base 2\nAnswer: 110011110100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*q + 61 - 77 = 0. Let t be 2\/(-6) + (-14)\/(-24). What is the closest to t in -0.2, q, 5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = -3 - 3*x**2 - 3*x**2 + 2*x**2 - x**3 - 4*x. Let d be (-23)\/7 - 2\/(-7). Calculate l(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 506*i = 555*i + 588 for i.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1560*r + 233 + 43 = -1583*r. Let q = -0.3 - -0.8. What is the biggest value in r, -3, -1\/5, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 152 (base 8) to base 15\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (0\/(-39))\/((4\/2)\/(-2))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 36, 239, 788, 1857, 3620?\n\"Answer: 29*a**3 - a**2 + 3*a + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 90 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 2 - ((-19)\/(-2))\/((-2)\/4). What is the first derivative of -5*p**3 + x*p**3 + 9 + 12*p**3 - 6 wrt p?\nAnswer: 84*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -90*z**2 - z - 2*z**3 + 49*z**2 + 41*z**2 + 14 to g*z**3 + t*z + q + x*z**2 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1\/(-2)*(7 + 750\/(-105))?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 29635668.\nAnswer: 2, 3, 19, 37, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 74155?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 692 minutes after 11:47 AM?\nAnswer: 11:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*r**3 + 1284*r**2 + 1282*r = 0.\nAnswer: -641, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -1c5d - 3d3?\nAnswer: -2252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = -2*i. Let c(t) = 1. Let p = -65 - -63. Suppose s = -2 + 3. What is p*c(b) + s*x(b)?\nAnswer: -2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence di when two letters picked without replacement from ddbbibidd?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1810 - 2955. Suppose 4*z - 2251 - 413 = -u, 0 = 4*u - 5*z - 10740. Let s = k + u. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 2627 and 6.6?\nAnswer: 2620.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 53 or 0.079?\nAnswer: 53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 30 a factor of 59254244?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from ouautnnnooc?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-4)\/2*6\/(-6). Suppose -o*y = y - 6. What is the least common multiple of 10 and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 425658006?\nAnswer: 2, 3, 103, 229589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -4491, -18470, -41771, -74388, -116315?\n\"Answer: l**3 - 4667*l**2 + 15*l + 160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -5 + 40\/6*(-21)\/(-14). Solve 4*i + 5*t = 8 + 1, i + f*t - 6 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) be the second derivative of -5*g - 1\/2*g**2 + 0*g**3 + g**4 + 0. Does 4 divide m(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 777, 3109, 6995, 12435?\nAnswer: 19429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence efae when four letters picked without replacement from {e: 3, k: 2, s: 1, f: 10, a: 1}?\nAnswer: 1\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 377 a factor of 530439?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 224511205 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 19176 to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jccjc. What is prob of sequence jc?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*b - 2*b + 4*a + 130, -52 = -2*b - 4*a. List the prime factors of (b\/4)\/(7\/56).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*u = -14*u + 9, 25 = -t - u + 21 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 21 - 13. Let v(k) = k**3 - 7*k**2 + 10*k + 3. Let t be v(5). Suppose 0 = x - 0*u - 2*u - 13, 17 = t*x + 5*u. Which is smaller: x or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -2852 + 2851.7. Suppose -2*j = -x - 4, -2*x + 7*j - 4*j - 6 = 0. Which is the fourth smallest value?  (a) x  (b) n  (c) -2\/7  (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + 2*sqrt(98)*-3 + 3*(sqrt(98)*1 + 0) + -4 + -2)**2.\nAnswer: 84*sqrt(2) + 886","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 8 + 9 - (-5 + 17). Let y(w) = 2*w**2 - 4*w - 3. Calculate y(h).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x = 4*n - 16, 5*x + n = -0*n - 20. Let m = -1 - x. List the prime factors of m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = -9*d - 9. Let h(v) = -10*v - 13. Let w(x) = 5*h(x) - 6*q(x). Let m(l) = -3*l + 10. Determine 7*m(p) + 6*w(p).\nAnswer: 3*p + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = 4*s**3 - 5*s**2 - 531*s - 1902. What is d(-8)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 439 minutes after 9:22 AM?\nAnswer: 4:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 51\/14873 and 23\/314557?\nAnswer: 33657599","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0\/((-10)\/10*-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) be the first derivative of -3*w**4\/32 + 17*w**3\/8 - 99*w**2\/8 - 986. Factor d(f).\nAnswer: -3*f*(f - 11)*(f - 6)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 613 and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 665 is divided by 39?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -245, -248, -253, -260, -269?\nAnswer: -280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express (-389*r + 202*r + 185*r - 261)*(-4*r + 4*r - 2*r) as h + a*r + c*r**2 and give a.\nAnswer: 522","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.0714 + 0.1714. Let s = -60 + 72.1. Let d = 12 - s. Sort d, 2\/5, m, -11 in ascending order.\nAnswer: -11, d, m, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3043705?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(-2))**(-1\/68)\/(g*g**5*g\/g**(-10)) assuming g is positive.\nAnswer: g**(-577\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 16c + -2?\nAnswer: 16a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -691683, -691685, -691687, -691689?\n\"Answer: -2*t - 691681","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 35 + -21. Suppose z - 73 = -32. What is the remainder when z is divided by f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 85 - 70. Solve 6*x = x - g for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = -6*a**2 - 12*a + 13. Let w be f(1). Let c(h) = -h**3 - 6*h**2 - 14*h - 43. Let u be c(w). Factor -32\/11*b + 2\/11*b**u + 128\/11.\nAnswer: 2*(b - 8)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 24654 by 2208.\nAnswer: 4109\/368","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 + (-13 - -5) + 8 + -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-9)\/6*(-48)\/(-8))\/(-93)?\nAnswer: 3\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19*k = -4*k - 75. Solve -21*a + 16*a = k for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4949 > 84132\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-6 - -2) + (4 - 5) + 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 400243049?\nAnswer: 97, 353, 11689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4152845074.\nAnswer: 2, 7, 83, 3573877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 55 - 274\/5. Let l be (-22)\/(-825)*230 + -6. What is the nearest to 0.1 in l, -3\/8, v?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.482 - -0.4833. Round j to three decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 373 + 3407. Is 18 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 1 - 64?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(-2\/3)\/(s\/(s\/(s**(-6)*s))))\/(s*s**6*s**(1\/7)) assuming s is positive.\nAnswer: s**(-59\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -1010321 (base 4) in base 5?\nAnswer: -120114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 7 + -6 - (1 + 3). Is 12 a factor of (n\/2)\/((-9)\/96)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -6c + -1?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 27*23\/(207\/(-4))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h\/(h\/(h**(-4)\/h)))\/h*h**(-4))**(-7)*(h*h**(-4))\/(h*h*h*h**0*h*h)*(h*h**(-1)*h)**(-4\/9) assuming h is positive.\nAnswer: h**(554\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4372240318?\nAnswer: 2, 2186120159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -14 + 19. Let r = -7 + 12. Let u = r + o. What is the least common multiple of u and 9?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 11*g**5 - 3*g**5 - g**5 + (-4*g**4 + g**4 + 2*g**4)*(4 - g - 4) + (0*g**4 - 3*g**4 + 2*g**4)*(0*g + 12*g - 13*g + 57).\nAnswer: 9*g**5 - 57*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from lllsttllslteese. Give prob of picking 2 l and 2 t.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 26, 58, 88, 116, 142, 166?\n\"Answer: -d**2 + 35*d - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 141 minutes after 3:59 AM?\nAnswer: 6:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6 - 5 + 11 - 472*n.\nAnswer: -472*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 956412 and 3348.\nAnswer: 1116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from lllllll.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 658260385 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {j: 2, f: 2, g: 7}. What is prob of picking 3 g and 1 f?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 8889, 9553, 10625, 12105, 13993, 16289?\n\"Answer: 204*a**2 + 52*a + 8633","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0.4, 681482, 3\/8?\nAnswer: 681482","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4 = 2*x - 2 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 175 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 65 or 68?\nAnswer: 68","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = h**3 + h**2 - h + 1. Calculate b(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 137 a factor of 420099?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 158633325?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 0 + 3)*(-3*c + 2*c + 0*c)*(-3 - 1 + 3).\nAnswer: 5*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(-3)\/y**4)\/((y**(-3\/5)\/y)\/(y\/y**9)) assuming y is positive.\nAnswer: y**(-67\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {g: 5, t: 3}. Give prob of picking 4 g.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = o**3 - 8*o**2 - 9*o - 11. Let z be g(9). Let j = 13 + z. Solve j*k + t = -2*k + 1, -3*t = -k - 3 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = 32*g + 14 - 8*g - 23*g + 6. Let o(a) = -3*a**2. Determine o(p(q)).\nAnswer: -3*q**2 - 120*q - 1200","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2286712 to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor 686*b**4\/15 - 12448940*b**3\/3 - 26676552*b**2\/5 - 11432844*b\/5 - 1633266\/5.\nAnswer: 2*(b - 90737)*(7*b + 3)**3\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -127 + 127.5. Let a = 0 - 0. Sort 2\/7, a, n.\nAnswer: a, 2\/7, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (7\/(42\/(-8)))\/(102\/(-9))?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1450, 644, 2, 1\/2, 0, 0.4 in ascending order.\nAnswer: -1450, 0, 0.4, 1\/2, 2, 644","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r = -6*r + 2. Suppose -7*j - 6 = -9*j. Sort r, -4, j in decreasing order.\nAnswer: j, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 28\/685 and 71\/1096.\nAnswer: 5480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (f**2 - 2*f**2 + 2*f**2 + (-31*f - 36*f + 25*f)*(3*f + 0*f - f))*(35*f - 66*f + 41*f).\nAnswer: -830*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find c such that -c**3\/6 + 329*c**2 - 19515*c\/2 + 72900 = 0.\nAnswer: 15, 1944","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*r - 3*w + 1 = -6*w + 3, 12 = -6*w for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -6*1\/(30\/(-25)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.021238 to 3 decimal places.\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s = -2*j - 6, 5*j + 39 = -2*s + 42. Is 131\/29 greater than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 28 divide 84812?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 490 and 4214.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + sqrt(475) + sqrt(304) + 2.\nAnswer: 2 + 9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.3 - 0.8. Let n = -0.3 - g. Let o = 3.6 - n. Round o to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 356583456 divided by 4?\nAnswer: 89145864","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 226\/(-371) - (-562)\/14893.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = -w - 1. Let b(u) = -7 + 15*u + 6 + 7 - 6*u. Give b(p) + 6*g(p).\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (0 - 0)*3\/(-9). Suppose 4*m - 68 = -4*b, n = b - 2*b + 4*m - 3. Calculate the remainder when 38 is divided by b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(208) + 1 - sqrt(208))**2 + 3 + (sqrt(78) + (sqrt(78) - -1*sqrt(78)*2))\/(sqrt(60)\/sqrt(250)).\nAnswer: 4 + 20*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 433*s**4 - 2815 wrt s?\nAnswer: 1732*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 47995 * 1\nAnswer: 47995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-q + 2*q - 2*q)*(16*q**3 - 27*q**3 + 5*q**3 + (3*q**2 - 3*q**2 + 2*q**2)*(q + 3*q - 5*q)).\nAnswer: 8*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = r**2 - 6*r - 3. Let k be ((-30)\/12)\/(2\/4). Give o(k).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:40 PM and 12:39 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24*s = 21*s + 2*w + 32, -5*s = 5*w - 45. Suppose 22 = 2*p - 4*h, 3*h = -3*p + 4*h + 28. Let r = 1 + p. Calculate the highest common factor of s and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25*i**2 + 5*i**4 - 32 + 381*i - 356*i + 2 - 25*i**3 = 0. Calculate i.\nAnswer: -1, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) be the second derivative of -v**5\/20 + 11*v**3\/6 - 8*v**2 - 4*v. Let k(m) = m**2 + 1. Let y(a) = b(a) + 6*k(a). Is 18 a factor of y(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.53 take away 5085335.7044?\nAnswer: -5085333.1744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j + 4*l - 50 = 0, -53 = 2*j - 4*j - 5*l. List the prime factors of j.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = 1390*h**2 + 234*h + 4. Let b(j) = -1388*j**2 - 234*j - 6. Let s(f) = -2*b(f) - 3*i(f). What is the second derivative of s(t) wrt t?\nAnswer: -2788","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1015*h**2 - 266*h**2 + 340*h**2 - 1424*h**2.\nAnswer: -2365*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -836*u**2 + 4530*u**2 + 3463*u**2 - 1416*u**2.\nAnswer: 5741*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 801*o**2 - 1439*o**2 + 706*o**2.\nAnswer: 68*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (5\/2)\/((-3)\/(-18)). Suppose 29 = v - 2*d - 3*d, -5*v - d = -b. Solve -3*y - o = 7, 3 = -2*y + v*o - 11 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -56 = -2*v - 2*r - 3*r, 0 = -r - 2. Let x = -19 + v. Calculate the greatest common divisor of 56 and x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 30*o**5 + 189*o**4 - 4*o**3 + 18*o**2 + 5498 wrt o.\nAnswer: 1800*o**2 + 4536*o - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 12987 + -12919. What is the nearest to -3 in 0.5, -1, c, 0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = -2*o**3 + 9*o**2. Let w be z(4). Suppose -9*n + w*n = -7. Which is greater: n or -0.13?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -47 + 230 + -72 + -35.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1073?  (a) -1\/6  (b) -7  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {n: 3, f: 1, v: 1, c: 1, k: 4, d: 4}. Give prob of picking 1 v, 2 c, and 1 n.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*n - 8*n + 6 = 3*j, j + 5*n + 4 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = -26*c + 14. Let n(h) = -h. Let k(x) = -4*n(x) - z(x). Let y be k(-8). Let o = 381 + y. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 60673.3mg to kilograms.\nAnswer: 0.0606733","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 11 and 428?\nAnswer: 4708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 6 and 285.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 2 - -32230223132?\nAnswer: 32230223200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 519948 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*((sqrt(833) - (1*sqrt(833) + -2)) + 1*(-1 + sqrt(833))))**2.\nAnswer: 224*sqrt(17) + 13344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0029073 to 5 decimal places.\nAnswer: 0.00291","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(4 + -4*(1 + sqrt(448))).\nAnswer: -160*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 149097983 is divided by 5943.\nAnswer: 5942","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 25286034?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -5463, -11823, -18183, -24543?\nAnswer: -30903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l*l**1)\/l)**(2\/133)\/((l\/(l*l\/(l*l**(-4))))\/(l**(-2)\/l))*((l\/(l*l\/l**0*l))**41)**(15\/4) assuming l is positive.\nAnswer: l**(-81525\/266)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -372 - 372 - 371 + 1115 + 6*b**2.\nAnswer: 6*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 8 - 8 - 13331*x + 15297*x to the form t + g*x and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.2?  (a) 1823  (b) -1\/2  (c) 3\/2  (d) -2\/147\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 29*b = -12*b + 11*b - 1260 for b.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -5  (b) -0.9  (c) -0.17  (d) -1\/2  (e) -66\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = -2*q + 7. Let l = 14 - 14. Suppose -5*r = l, 0 = -2*f - 4*r + 11 + 1. Give c(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from iyyy?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -3 + -6. Let g = b - -5. Let f = -62\/3 - -61\/3. What is the second biggest value in -3, g, f?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1231608 by -87972.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j + 2 = -0*j + 3*y, -2*j - 5*y = -4. Suppose -5*l + j*q + 34 = 0, -l = l + 4*q - 28. Calculate the least common multiple of 74 and l.\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 1019  (b) -3.45  (c) -4  (d) 0.4  (e) -0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 29*s - 344 = -112 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -2006, -2034, -2076, -2132, -2202?\n\"Answer: -7*j**2 - 7*j - 1992","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-108)\/75)\/((-344)\/430)*1.\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = -a**2 - a. Let d be s(-2). Suppose 0 = -r + 14389*n - 14390*n - 13, -2*n = 3*r + 23. Sort r, -4, 5, d in decreasing order.\nAnswer: 5, r, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) be the third derivative of 1\/6*u**4 - 1\/70*u**7 + 0 + 0*u**3 + 0*u - 3*u**2 + 0*u**5 + 0*u**6. Find the second derivative of s(f) wrt f.\nAnswer: -36*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:53 PM and 7:33 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = 1. Let k(p) = -p**3 + 6*p**2 - 4*p - 4. Let t(l) = -2*f(l) - k(l). What is t(4)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4105132?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -514404 = -12028*w + 567821 + 60435 for w.\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 13 + -11. Determine t, given that 6*t + 11*t**2 + t - 3 - m*t + 3*t**3 = 0.\nAnswer: -3, -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -125 = -3*y - 29. Let z = y + -32. Let d = -8\/47 + -101\/235. Which is the nearest to -2\/3?  (a) 0.3  (b) d  (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -102861*u**3 - 237*u - 17?\nAnswer: -617166*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 378353 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -5?  (a) -2  (b) -3\/7  (c) 0  (d) 52  (e) 1\/3  (f) 1679\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert -ab9 (base 15) to base 5.\nAnswer: -34144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(228)*1 + sqrt(228) - sqrt(228))\/sqrt(4))\/(sqrt(3) + sqrt(15)\/sqrt(5)*1).\nAnswer: sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from zzvvvvvvzvvvvvvvvz. Give prob of picking 4 v.\nAnswer: 1001\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 877760939?\nAnswer: 11, 31, 83, 31013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: (-42)\/(-12)*(-7)\/((-98)\/(-80))\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = -3*x**3 - x**2 + 3*x + 9. Suppose 0*u + 2*u - 3*f + 7 = 0, 5*u - 3*f = -13. Calculate the remainder when 65 is divided by l(u).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p = -6 + 1. Suppose -p*h + 2*h + 9 = q, 2*h = 8. Let i be 199 - (4 - (0 - q)). What is the highest common divisor of i and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -20a (base 16) to base 2.\nAnswer: -1000001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 10437 - -3?\nAnswer: 10441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 3102840 and 8450?\nAnswer: 15514200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 865, 881, 911, 961, 1037, 1145?\n\"Answer: p**3 + p**2 + 6*p + 857","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-16)\/(0 - 4) - 4. Suppose w*b = b. Let p = 9 - 8. Solve -r + b*r - p = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 4 by 2777.\nAnswer: 4\/2777","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -36.000000467 + 36. What is a rounded to seven dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 59\/294 and -103\/48?\nAnswer: 2352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: ((24\/70)\/(165\/275))\/(2\/8)\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**4*x**(2\/21)*(x\/x**(1\/4))\/x**(1\/4))**(26\/7) assuming x is positive.\nAnswer: x**(2509\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = 3*q. Let j(r) be the second derivative of 5*r**4\/12 + 7*r. What is t(j(f))?\nAnswer: 15*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-x - 4*x + 4*x)*((-2 + 2 + 2*x)*(-17 + 8 - 19) + 2*x + 2*x - 2*x).\nAnswer: 54*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = -2*u**3 - 135*u**2 - 189*u + 411. What is q(-66)?\nAnswer: -183","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -9458, -9466, -9478, -9494?\n\"Answer: -2*u**2 - 2*u - 9454","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express 1493*w**2 - 2*w**3 + 1490*w**2 - 2984*w**2 + 57 as v*w**3 + r + i*w + o*w**2 and give r.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 399 minutes before 6:47 PM?\nAnswer: 12:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -788643.45 rounded to the nearest one thousand?\nAnswer: -789000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 242611.\nAnswer: 19, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y + 16 = -5*t, -2*t - 4*y = 2*t + 16. Which is the closest to 3\/5?  (a) 0.2  (b) -4  (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -29.1188 + 0.2488. Let o = r + 0.87. Let p = o + 28.0205. What is p rounded to 3 decimal places?\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 429 minutes before 4:09 PM?\nAnswer: 9:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round 2780.08 to the nearest 10.\nAnswer: 2780","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express 5143*c**2 - 5143*c**2 + 3*c - 12*c - 6*c**4 + 23*c**4 - 2 as i*c**4 + l + r*c**2 + j*c**3 + n*c and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10704 = -20*p + 4*c - 10688, 5*p - 3*c - 42 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w - 2*w + 9 = -2*z, 0 = -4*w + z + 29. Calculate the smallest common multiple of 1 and w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 5\/14 of a week?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = -6*l - 9. Let x(g) = -3*g - 5. Suppose 0 = 28*t - 32*t + 48. Suppose t = 12*f - 24. Calculate f*p(k) - 5*x(k).\nAnswer: -3*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*u + 2*u + 6 = -3*m, -3*u + 2*m + 17 = 0. Suppose -z + 35 = u. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -7, 15\/4.\nAnswer: -7, 1, 15\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((k**(-2\/13)\/k)\/k)\/k**15)**(-27) assuming k is positive.\nAnswer: k**(6021\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 700 minutes after 6:50 PM?\nAnswer: 6:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange s**2 - 2*s**3 - 3*s**4 - 3*s - 40*s**3 - 7*s**3 + 47*s**3 - 4 to the form l*s + g + w*s**4 + p*s**3 + u*s**2 and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = -2*x - 6. Suppose -2*q + 3 = 13. Let h = -8 - q. Let c = h - 3. What is l(c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -2.15646034 to one decimal place.\nAnswer: -2.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -n**3*r**2 - 13*n**3*r*v - 620*n**3*v**2 + n**3 - 23*n**2 - 5*n*r**2*v**2 wrt v?\nAnswer: -1240*n**3 - 10*n*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 39 + 15*u - 39 + 17*u - 13*u.\nAnswer: 19*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 6698636 a multiple of 411?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/149?  (a) -2\/11  (b) 1\/2  (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 12636 and 338.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -371 = 5*v - 2*o + o, 5*v + 369 = -o. Let x = -48 - v. Is 2 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine p so that 5*p**5 + 345*p**4 - 9425*p**3 + 52335*p**2 - 81900*p = 0.\nAnswer: -91, 0, 3, 4, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*v**3 - 15250*v**2 + 2806 + 15250*v**2.\nAnswer: -3*v**3 + 2806","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) be the first derivative of -a**4\/4 + a**3 + 2*a**2 - 5*a - 9. Let n be j(2). Solve 2*h = n*h + 15 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 9\/((-180)\/(-16))*-5. Let k(q) = -q**3 - 6*q**2 - 10*q - 4. Let l be k(c). Differentiate 6 + 3*m**3 + 4 + l wrt m.\nAnswer: 9*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g = 3*t + 41, -10 + 47 = -3*t - 2*g. Let r = t - -10. Let f(u) = -u**2 + u + 1. What is f(r)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 139\/228 and 59\/78236?\nAnswer: 4459452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00001819446269 to 6 dps.\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 45\/(-60)*(-2 + 6)*4.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 424?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) be the second derivative of -5\/6*p**3 + 0 - 5*p + 1\/2*p**2. Let r(g) = -6*g + 1. Let q be -1 - (-1 + 0) - 4. Give q*r(z) + 5*x(z).\nAnswer: -z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.39248 + -9473?\nAnswer: -9472.60752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -6 times 10101.606\nAnswer: -60609.636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -74*o = -79*o + 10. Solve 5*a + o - 7 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 28\/243 and -59\/6807474.\nAnswer: 183801798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r**(-1\/4)*(r*r**(1\/4)\/r)\/r)\/(r**0*r*(((r*r**15)\/r)\/r)\/r))**(-38) assuming r is positive.\nAnswer: r**570","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -90 + 90.4. What is the third biggest value in 3, -4, 0.3, g?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r + 50 = -28. Suppose -31*w = -r*w. Solve 0 = -f + 1 - w for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/25 of a kilometer in meters?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -3 and 174.\nAnswer: -522","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:01 AM and 9:29 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = 17093*u + 7. Let g be f(1). What is g rounded to the nearest 1000?\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -180?  (a) -0.5  (b) -20  (c) 2\/6261\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -149 in 5, 3, -1, 3\/44, 0.263?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -17304555.5 rounded to the nearest one million?\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 324.651 micrometers in meters?\nAnswer: 0.000324651","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((d\/(d**(2\/13)\/d))\/d**(-18))**(-28))**(-45) assuming d is positive.\nAnswer: d**(325080\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = l**3 - 6*l**2 + 6*l - 3. Let p be r(5). Suppose 3*s - 15 = 0, p*y - 5*s + 19 = -4. Suppose -11 = -2*w + y. Does 3 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 147706*b**3 + b + 236666*b**3 + 616033*b**3 - b.\nAnswer: 1000405*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*i**4\/4 - 15*i**3\/4 - 3*i**2 = 0. Calculate i.\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a + 346 = 16. Let v = -77418 + 77436. What is the greatest common divisor of a and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 36 and 3636.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 78, 3, 1.\nAnswer: 1, 3, 78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 76 a factor of 3325112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) be the third derivative of -d**7\/1260 - d**6\/120 - d**5\/30 + d**2. Let h(c) be the third derivative of q(c). Differentiate h(x) wrt x.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 2, 0.2, 0.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 divided by 444.\nAnswer: -1\/222","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8*a**2 - 6*a**2 + 14*a**2 + a**3.\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-14)\/(-36)*(-480)\/(-420).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1 or 3\/4520?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 1137220 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-14)\/(210\/9) + 1.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -2027a3 + 3?\nAnswer: -2027a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) be the third derivative of -g**7\/840 - g**6\/180 + g**5\/30 - g**4\/12 - 8*g**3\/3 + 20*g**2. Let z(c) be the first derivative of p(c). What is z(-4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-5*x - 1 - 7*x + 2*x)*(-49*x**2 - 2 + 42*x**2 + 0) to o + d*x**2 + j*x + k*x**3 and give d.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z - 4*x = -15, -10 = 4*x - 30. Let v = -17 - -16. Which is the closest to z?  (a) -4  (b) v  (c) 2.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4 + 4 + 24980*u + 6444*u - 1.\nAnswer: 31424*u - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = d**3 + 3*d**2 + d - 4. Let g be s(3). Let p = g - -122. List the prime factors of p.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = -w**3 - 12*w**2 - 3*w - 3. Let i = 3851 + -3862. Determine p(i).\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 897203981 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 7 - 12. What is the second smallest value in 0.3, -4, b?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 30 a factor of 4440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-420)\/45*(-9)\/2?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2a719 (base 13) to base 11.\nAnswer: -55368","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 1*4*(-324)\/(-24)*49\/126\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s + 24772 = 4*f, 0*f + 3*s - 30965 = -5*f. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -21 + ((-184)\/2116 - (-1926)\/(-69)).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -0.0918 and 462056.06.\nAnswer: 462055.9682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = p - 1. Let w(j) = -31*j - 5. What is 6*i(l) - w(l)?\nAnswer: 37*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = -s + 5*s. Let n be (-15 + 6)\/(s\/(-10)). Let b = -27 + n. Solve -5*k - 4*w + b = 0, 2*k - 5*w + 14 = 4*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = -28*d. Let k(b) = 172*b - 24. Let j(m) = -74*m + 11. Let y(n) = -13*j(n) - 6*k(n). Calculate y(c(a)).\nAnswer: 1960*a + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.372199 rounded to three dps?\nAnswer: 0.372","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify t\/((t\/t**(-2))\/t)*t*t*t*(t\/t**(2\/11))\/t*t*t**0*(t\/t**(-2\/3))\/t assuming t is positive.\nAnswer: t**(115\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 68202771?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*w = 5*w + 40. Let k(d) = 0 - 2 + 0 + 4*d. What is the units digit of k(w)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4 + (5 - (-2 - -4)) + -4\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -13318820 to the nearest one hundred thousand.\nAnswer: -13300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(252)*2*5 - (sqrt(77) - sqrt(77)*2*-4)\/sqrt(11).\nAnswer: 51*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -30 + (1 - -8 - (-1 - 1))\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 2\/30 + (-2)\/5. Let g = -4 - -4.5. Which is the third smallest value?  (a) g  (b) i  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = d**2 - 7*d + 5. Let k be r(7). Let t = -106 - -110. Solve -3*y - k*a - 25 = 0, 5*a = t*a - 2 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/51?  (a) 1  (b) 0.4  (c) 1\/5  (d) -1.84  (e) -97\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + (sqrt(224)\/sqrt(8) + 0 - sqrt(336)\/sqrt(768))*1*-1.\nAnswer: -7*sqrt(7)\/4 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) be the second derivative of l**3\/3 - l**2 - 4*l. Give g(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1*(4\/(-15))\/(11\/55*-20)\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 34 + 9 - 19 - j**2.\nAnswer: -j**2 + 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.4, 14, 1\/3, 3 in decreasing order.\nAnswer: 14, 3, 0.4, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or -8\/73?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3*(-12)\/27*(3825\/(-80))\/(-51)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:18 PM and 2:14 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = -21*m**2 - 83*m + 11. Let w be i(-4). Let b(q) = q**3 - 6*q**2 - 3*q - 8. What is b(w)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = 3*q - 67. Determine y(21).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -14 + 13.6. What is the second smallest value in 0.06, i, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from gvwvggvgvggggvvgg.\nAnswer: 45\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:42 PM and 6:23 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 9923137 and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -d**2 + 15*d**2 + 17*d**2.\nAnswer: 31*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 7014988550?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) be the second derivative of 25*i**4\/3 - 1949*i**2\/2 + 1109*i. Differentiate c(y) with respect to y.\nAnswer: 200*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4026.1 grams to micrograms.\nAnswer: 4026100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -1113*f**4 + 2581.\nAnswer: -4452*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 0.2603, 5, -1, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: (((-56)\/(-30))\/7)\/((-50)\/(-375))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 336\/36*4\/42?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (0 - -5) + -3 + 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -201*k + 448 = -199*k. What is the highest common divisor of 56 and k?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -56401982 minus -40?\nAnswer: -56401942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = a**3 - 4*a**2 + 2. Let u(b) = -b**2 + 4. Let k be u(0). Let q be s(k). What is the first derivative of -q*w**3 + w**3 + 1 - 3 wrt w?\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.0375 * 0.4.\nAnswer: -0.015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence le when two letters picked without replacement from {e: 2, l: 3, b: 5, i: 2}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -20 + -325532?\nAnswer: -325552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -103.1 + 96.1. Let w = -0.1 - -0.2. Which is the nearest to w?  (a) o  (b) 2  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = -6797*z + 1704. Is v(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 15, 0, -12.\nAnswer: -12, 0, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 9 divided by 254738?\nAnswer: 9\/254738","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 601 - 597. Which is the nearest to p?  (a) 2  (b) 0.05  (c) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = -75*z**2. Let l(u) = -86*u. What is l(o(b))?\nAnswer: 6450*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -21 + 36. Is 20 equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 21 and -27.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -10 - 2300213121?\nAnswer: -2300213131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 129643 to the power of 1\/3, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 15414 or 15418?\nAnswer: 15414","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 241.31, 1\/10, 4\/3?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 9923.53l?\nAnswer: 9923530","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 60, -3986, 54, -2.\nAnswer: -3986, -2, 54, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round 4756.16 to the nearest 10.\nAnswer: 4760","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -238*g + 3*p - 17 = -234*g, 3*g + 2*p + 17 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*s - 4*p + 96, 5*s - s - 3*p = 170. Let t = 2 + s. List the prime factors of t.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:06 PM and 3:16 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -343 or -1051410\/3059?\nAnswer: -1051410\/3059","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u = 2*u + 30. Let b = 5.02 - 0.02. Sort u, b, -3 in descending order.\nAnswer: b, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = -4*t**3 - 7*t**2 + 5*t + 1. Let q(w) = -3*w**3 - 6*w**2 + 4*w. Let a(f) = 2*k(f) - 3*q(f). Calculate a(-5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8804 is divided by 304?\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 1, y: 1, b: 1, e: 1, l: 1}. Give prob of sequence el.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l - 2*k = -k + 38, -2*l = k - 34. Suppose -3*b + 810 = -3*a, -4*a + l = 2. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 + -1 - -2 - (2 - 7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1310 + -1185. Calculate the remainder when 249 is divided by m.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 12*u - 0*u - 1392. Let t(i) = -i**2 + 32*i + 792. Let q be t(-15). Calculate the greatest common divisor of u and q.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = -h**3 - 6*h**2 - 4*h - 8. What is o(-6)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor 16*p**2 + 692*p + 172.\nAnswer: 4*(p + 43)*(4*p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c - 8 = 2*c. Let r be (c\/(-3))\/((-7)\/126). Let h = r - -10. Let n(x) = 2*x**2 + 4. Let a(s) = s**3 - 5*s**2 - s - 9. What is h*a(o) - 5*n(o)?\nAnswer: -2*o**3 + 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in 12, 1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -23 - -23. Let r be (-3)\/(-7) - ((-234)\/(-7) + v). Let q = -23 - r. What is the greatest common divisor of 4 and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 9 - 10 - -4 - 21\/8.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h**(1\/6)\/h*h)\/h**3)\/(((h**(1\/3)*h)\/h)\/(h\/(h\/h**(1\/5))))*(h**(-1\/3))**(-45)\/(h\/h**(1\/4)*h)**(-46) assuming h is positive.\nAnswer: h**(1388\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Determine r so that -2*r**3\/13 + 4*r**2\/13 + 6*r\/13 = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q\/(q\/((((q\/q**(2\/7))\/q)\/q)\/q)))**47 assuming q is positive.\nAnswer: q**(-752\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 609 and 231.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 191 minutes after 3:38 PM?\nAnswer: 6:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*n + n - n + (-2 + 1 + 2)*(2*n + 3*n - 4*n) - 3*n + 5*n + 10*n)*(-550 - 252 + 1039) in the form p*n + o and give p.\nAnswer: 2607","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 3908, 7822, 11740, 15662, 19588?\nAnswer: 23518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) be the first derivative of v**4\/6 + 34*v**3\/3 - 166*v**2\/3 - 144*v + 123. Determine p, given that j(p) = 0.\nAnswer: -54, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 41222*c**4 + 442*c**2 - 3*c + 2 wrt c?\nAnswer: 989328*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = -1233*h + 37. Let g(s) be the third derivative of -5*s**4\/24 - 11*s**3 + 4*s**2. Let i be g(-12). Is z(i) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = -n, 4*n + 6418 = -2*i + 22096. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) be the second derivative of -m**4\/54 + 5*m**3\/27 - 4*m**2\/9 - 11*m - 5. Determine z so that d(z) = 0.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 a factor of 22953?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l = 6 + 19. Suppose -l*h = -15, 0*d - 3*h - 21 = 3*d. Which is smaller: d or -9?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1.6 - 2. Let w = v - 0. What is the smallest value in 0, w, -4\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = -y**3 - 3*y**2 + 49*y + 82. Let v be g(-8). Solve 6 = 3*l, -14*c + v*c + l = -10 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1488 is divided by -3258*38\/(-5643) + 4\/66.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-14828)\/10110)\/((-33)\/30). Let f = 7.6 + -3. Let s = -2.3 + f. Which is the second smallest value?  (a) o  (b) s  (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -47 + 262909.8.\nAnswer: 262862.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express 2569*d**4 - 4729*d**4 - d + 2569*d**4 - 2*d**2 as z*d**3 + m*d**2 + p*d + a + i*d**4 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4 - 228\/(-66))*37\/(-333)?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5755 is divided by 2646?\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -96*y + 2413247 = 2406815 for y.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 432 minutes before 4:41 AM?\nAnswer: 9:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*m + 5*p - 8 = -13, -3*p = 4*m + 3 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = 8*h**2. Let t(c) be the first derivative of -c**3\/6 + 33*c - 55. Let p(y) be the first derivative of t(y). What is g(p(k))?\nAnswer: 8*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Divide -27687051 by -1318431.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (-2)\/(-2) + 2 - -22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = -5*l**2. Let r(c) = -2*c**2 + 3*c + 3. Let q(t) = -t**2 + 2*t + 2. Let g(y) = -3*q(y) + 2*r(y). Determine g(p(n)).\nAnswer: -25*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.32, 1\/3, 23, 44, 0.4, 4 in descending order.\nAnswer: 44, 23, 4, 0.4, 1\/3, 0.32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 + 1 - -1 - (8 - 9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 + 9 = 5*o. Calculate the lowest common multiple of 6 and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p + 2*v - 58 = -0*p, 0 = 5*p - 3*v - 129. Let q be 2\/(-9) + 114\/p. Suppose 9 = -3*m - 2*j, 7*j = 5*m + q*j + 34. Put 5, 1, m in decreasing order.\nAnswer: 5, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.5*-1448.43\nAnswer: -724.215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = -j**3 + 15*j**2 + 42*j - 106. What is m(17)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r + 0*i + 2*i + 6 = 0, -3*r - 2*i = -2. Solve 5*s - r = 3*a + 3*s, -6 = 3*s for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1559883?\nAnswer: 3, 13, 23, 37, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = -4*w**2 + 7. Let s(u) = -u**2 + 8 - 2 - 2*u**2 + 0. Let l(b) = -5*d(b) + 4*s(b). Differentiate l(o) with respect to o.\nAnswer: 16*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -12?  (a) 4  (b) 0.2  (c) -170  (d) -3\/7  (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 2*(159\/(-6) - (3 - 2)). Let q = -40 - r. Let w be ((-12)\/q)\/((-8)\/20). Let o(z) = z**2 - 3*z + 2. Give o(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 8.58 - 0.18. Let x = a + -8.86. What is x rounded to one dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 510, 2028, 4554, 8088, 12630, 18180, 24738?\nAnswer: 32304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = 16*d - 52. Let f(o) = o**2 + 396*o - 8753. Let n be f(21). Determine h(n).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 14*i - 34 - 30 - 34 + 100.\nAnswer: 14*i + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -7395.397637143 - 12?\nAnswer: -7407.397637143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = -64*s + 21. Let t(y) = 127*y - 44. Let d(k) = 2*t(k) + 5*u(k). Let w = 1 + -8. Is d(w) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -21258 + 21263. Let g(d) be the first derivative of 0*d + 0*d**3 + 0*d**4 - 1\/2*d**2 - 15 + 6\/5*d**i. What is the second derivative of g(l) wrt l?\nAnswer: 72*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 115170 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 33780 is divided by 3745.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 0.23, 0, 0.2 in increasing order.\nAnswer: -4, 0, 0.2, 0.23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.2 in 0.4, -5, 7\/3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = 2413*d + 14462. Let y be v(-6). Let g(w) = w**3 + 7*w**2 - 143*w + 13. What is g(y)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*x + 0*x + 9*x)*(-177*x**2 + 2 + 353*x**2 - 179*x**2).\nAnswer: -15*x**3 + 10*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(-5)\/c*(c\/c**(-1\/5))\/c*c)**21*(((c\/c**(-1\/7))\/c)\/(c*c\/(c*c\/c**(-2\/7)*c)))\/(c\/c**1)**(-19) assuming c is positive.\nAnswer: c**(-3478\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 1068143*-0.18\nAnswer: -192265.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 3*(-6)\/9*(-6)\/(-3)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 109698 is divided by 669?\nAnswer: 651","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-214)\/(-14) - (-78 + 46065\/581).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*a**2 + 2 - 2)*(16*a - 74*a - 13*a)*(-3*a**2 - 3*a**2 + 9*a**2).\nAnswer: -852*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 469 + 181?\nAnswer: 63a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1186?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -380a030 (base 12) to base 7\nAnswer: -162131424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1090076.\nAnswer: 2, 13, 20963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -4038 + 20194\/5. Factor 0 + 8\/5*x**3 + 0*x**4 - r*x + 0*x**2 - 4\/5*x**5.\nAnswer: -4*x*(x - 1)**2*(x + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b - 11 = -2. Suppose b*t - 6 = 6*t. Let c(a) = -a**2. Let n(x) = 2*x**2 - 2*x - 3. Let i(f) = c(f) + n(f). What is i(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -2\/3, 13, -0.5, -1\/216564 in ascending order.\nAnswer: -2\/3, -0.5, -1\/216564, 2, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = -l**2. Let z(a) be the second derivative of 0*a**2 + 6*a + 2\/3*a**3 + 0. Give s(z(u)).\nAnswer: -16*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x - 3 = 0, -2*x = 4*l + 3*x - 13. Solve -30 + 2 = -l*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = -7*b + 3. Let d(j) = 20*j - 8. Determine 8*c(a) + 3*d(a).\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from abaaaab. Give prob of sequence bb.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -13*(-2)\/((-2)\/1)*2\/2.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 284995 divided by 2?\nAnswer: 284995\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) be the second derivative of v**4\/66 + 59*v**3\/33 - 186*v**2\/11 - 149*v - 3. Determine p so that n(p) = 0.\nAnswer: -62, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 88.75759cm in micrometers?\nAnswer: 887575.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = m**3 - 2*m**2 + m - 1. Let l(s) = -53*s**3 + 10*s**2 - 190*s + 5. Let d(q) = -l(q) - 5*r(q). Find the second derivative of d(z) wrt z.\nAnswer: 288*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/22, 8, -0.01 in decreasing order.\nAnswer: 8, -0.01, -1\/22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hbnphkppnhenehe. Give prob of sequence ne.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is (-645)\/215 + (-106)\/(-28) + (-4)\/14?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (-2)\/(-12)*((-610)\/(-15) + -3) and (0 - 97)\/(12\/1).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 5839 and 101780456?\nAnswer: 101774617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6378662157?\nAnswer: 3, 7, 17, 239, 74759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o = 5*o - 32. Suppose 0 = 3*r - 10 + 25. Let m = r + o. Solve -3*k + 0 = -m for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 291987.3ns to milliseconds.\nAnswer: 0.2919873","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*o = 12, 0 = 9*n - 150*o + 145*o + 75 for n.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -9\/4  (b) -51\/7  (c) 703  (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -195*x + 0*x = 906 + 1239 for x.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert -249599a (base 11) to base 9.\nAnswer: -8124410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = t - 9. Let o be d(6). Put o, -0.02, 2 in descending order.\nAnswer: 2, -0.02, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2674.932 millennia to centuries.\nAnswer: 26749.32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Product of -205 and 0.4.\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -217693  (b) -1\/9  (c) 89\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = -i**2 + 10*i + 4. Let b be j(10). Suppose 0 = -z - b*z. Solve -2*g + 6*g = z for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6355.\nAnswer: 5, 31, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -13 + 134. Let x(w) = w**2 + 3*w + 3. Let d be x(-2). Let h be (-6)\/2 + d - -13. Calculate the highest common factor of h and g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1569 - -6195\/4. Let u = -2 + 4. What is the common denominator of w and u\/7 - 3771\/(-252)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-76)\/4*(-4)\/20*-5.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 218087131 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*r + 5274 = -21*r + 6450. Calculate the remainder when r is divided by 46.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 9.213 - 11.213. Let g be ((-3)\/(-66))\/((-1)\/(-4)). Let w = 0.04 - 0.44. Which is the smallest value?  (a) g  (b) w  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.3 * 12088643.\nAnswer: 3626592.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 285133 a multiple of 355?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = -24*p - 3. Let o be f(-1). Calculate the greatest common factor of o and 189.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-345)\/39 - 12\/78. Let q be (60\/d)\/((-4)\/6). Suppose -3*z = 5*h - 6 - 13, 4*h = -5*z + q. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -3, 1\/5, 4, -1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is u in -4*u**2\/3 - 140*u\/3 + 152 = 0?\nAnswer: -38, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = 4*s**2 + 5*s - 7. Let u be (3 + 5)\/(-1) - -2. Is 25 a factor of c(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -1895*h**3*t - 1049*h**3 + 28*h**2 + 8*h*t + 350*t wrt h.\nAnswer: -11370*t - 6294","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 4020, 9, -4002?\n\"Answer: -4011*m + 8031","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 488009.8 millennia in decades?\nAnswer: 48800980","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 494723426?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 243350 - 166402. What is the ten thousands digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 192 (base 12) in base 6?\nAnswer: 1102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 952 and 56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x = x + 165. Suppose -2*s + 7*s = x. Calculate the remainder when 20 is divided by s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 73224.11284 rounded to the nearest 10?\nAnswer: 73220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 65451883 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 18 + -13. Let k = -2.7 - -2.9. Which is the closest to -2?  (a) 2  (b) k  (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 946*h + 11845 = -374*h - 128*h + 79901 for h.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = 2*y - 11. Let n be x(8). Suppose j - 4*r = n - 13, -j - r = -12. Calculate the smallest common multiple of j\/2*1\/2 and 11.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 97*o = 159*o - 124 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 6033 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y = -f - 18, -2*y + 0*y - 2*f + 4 = 0. Suppose k = -5*a + 403, 9 = -y*k - 1. Suppose 0 = -3*g + 80 + 4. What is the remainder when a is divided by g?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 286\/7, -0.1, 7, 4 in decreasing order.\nAnswer: 286\/7, 7, 4, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 0 + 0 - 1\/2. Let w = 2.8 - 4.5. Let h = -5.3 + w. Put -4, o, h in decreasing order.\nAnswer: o, -4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*m = 4, 0*m = 2*c - 2*m - 8 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence oqqo when four letters picked without replacement from {o: 4, l: 3, q: 4, b: 5}.\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-6)\/(-5))\/((-12)\/(-150) + 0). Suppose -3*p = t - 3, t - 3*p + x = -0*t. What is the units digit of (-731)\/(-6) - t\/36*1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 58 - 27. Solve 1 = 4*g + 3*f, 0 = g - 5*g + 3*f + w for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*o + 10 = 505462*q - 505467*q, 5*q + 4 = -2*o for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 34*z**3 + 11496*z + 35*z**3 - 11496*z.\nAnswer: 69*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h + a - 42 = 0, -4*h + 110*a + 164 = 115*a. What is the remainder when 182 is divided by h?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 205977?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -2\/13, 0.402, 3\/4, -2\/283?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9289*n**2 + 4587*n**2 + 18662*n**2.\nAnswer: 32538*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l - 7 = 3. Let r = 0.1027 + -0.4027. What is the third biggest value in -2, r, l, -0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -3  (b) 4  (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*p + c + 27, 2*p = 2*c + 11 + 13. Solve q = 4*f - f - p, 20 = 5*q + 4*f for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -149143 divided by 38.\nAnswer: -149143\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 0.1 times 836427\nAnswer: 83642.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ljl when three letters picked without replacement from olveolljolulovl.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 6\/27 - 6\/27. Solve 5*l = -3*j, -5*l + o*j - 20 = -j for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.031456 * -0.3.\nAnswer: 0.0094368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = 5*a**3 + 68*a**2 - 61*a - 471. Determine z(-14).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in -30708, -3\/4, -16, 2\/33?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y + 220 = -9*y. Let b(z) = 6*z + 162. Is b(y) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2087 - 370 - 54*g + 16591 + 12183.\nAnswer: -54*g + 26317","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-62)\/15 + (0 - (-1 - 3)).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*f + f. Suppose 4*o - 3*c - 12 = f, 3*c + 15 = -o + 6*o. Find the second derivative of 2*h - 4*h**5 + o*h**5 + 7*h**5 wrt h.\nAnswer: 120*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1220?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 23910096 and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) 0  (b) -2072  (c) 0.006\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = -d**2 + 9*d + 6. Let m(w) = -w**2 + w. Let r(j) = b(j) - 2*m(j). Let c be r(-6). Find the first derivative of c*s**3 - 4 - s**3 + 5 wrt s.\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 340082 and 388.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 164 a factor of 32362612?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 36, 86, 136, 186?\n\"Answer: 50*r - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (11 + -17)\/(5 + -6). What is the tens digit of (-26)\/(-156) + -1*(-3449)\/c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*f**2 + 8*f + 64.\nAnswer: -2*(f - 8)*(f + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.27, -9, 1\/4, 65 in descending order.\nAnswer: 65, 1\/4, -0.27, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -10 + 1. Let h = -1 - f. Let w = h + -6. Solve -5 = -w*j + 1 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 156 minutes before 1:38 PM?\nAnswer: 11:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 27*k + 2*g + 8 = 26*k, 0 = 4*k - 2*g + 2. Let x(a) = -3*a**2 + 15*a + 6. Let y be x(5). Sort 4, k, y in decreasing order.\nAnswer: y, 4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6069811 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 28673 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1389 + 8390. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 7300 and 8900.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 1.482509 years?\nAnswer: 0.001482509","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -32 - 24093.\nAnswer: -24125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 2 + (10 - 15) - (26 + -3). Let r = -19\/4 - -5. Which is the second smallest value?  (a) u  (b) r  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -733 - -483. Let m = -253 - a. Let z = -23 + 91\/4. Sort z, 0.5, m in ascending order.\nAnswer: m, z, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -3 + 5. Suppose -a - 4*a - 3*t + 162 = 0, l*t = -2*a + 68. Is a a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 14*c - 9*c**4 - 99 - 3*c**4 + 31 + 7*c**2 - 5*c wrt c.\nAnswer: -144*c**2 + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = -6*z. Let i(v) be the third derivative of -3*v**5\/20 - 6*v**2. Give i(g(x)).\nAnswer: -324*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i = 4*n - 20, 3*i - i = 2*n - 20. Suppose 22*j + 262 = 42. Let s be 4\/j - 114\/i. Let u(o) = -o**2 + 12*o - 16. What is u(s)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1753 + 1764. Solve r*a - 14 = 19 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*s = 5*k + 3*s + 35, -35 = k - 5*s. Let x be (-34)\/(-10) + k\/25. Suppose -x*t = -4*d + 1, 3 = -t + 3*d - d. Solve 0 = -0*h + h - t, -f + h = 9 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 1\/(-2) + 1\/((-4)\/(-29742)). Let d = m + -401573\/54. What is the common denominator of (-4)\/26 + 635\/(-182) and d?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*h**2 + 6*h**2 - 141*h**4 - 5*h**2 - 3*h**2 - 2*h**2 + 2*h as t*h + v + b*h**2 + j*h**3 + p*h**4 and give p.\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 190*q - 77*q = 71*q + 420 for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*s - 7 = 869. Let m be (s\/14 + -3)\/((-4)\/(-14)). Suppose 0 = m*l - 28*l + 6. Solve 1 - 16 = l*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11*f + f + 5*f.\nAnswer: 17*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + sqrt(1300))*2 + -1 + -5 + (-2*sqrt(13) + -1 - (1 + sqrt(1053))) + (3 + sqrt(1872) + 1)**2.\nAnswer: 105*sqrt(13) + 1876","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor g**2\/8 + 4223*g\/4 + 15189853\/8.\nAnswer: (g + 2597)*(g + 5849)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -3898, -3892, -3876, -3844, -3790, -3708?\nAnswer: -3592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kqaqkvkakzzzzzqkak. What is prob of sequence zv?\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Divide 856 by 1.\nAnswer: 856","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Determine y, given that -12*y**4 + 0 + 0*y - 8\/9*y**3 + 16\/3*y**2 + 2*y**5 = 0.\nAnswer: -2\/3, 0, 2\/3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 553259731 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {v: 5}. What is prob of picking 3 v?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v + 5*n = n, 2*n = v. Suppose v = -4*r - 3*z + 73, 3*r - 59 = 2*z - 0*z. Is 8 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3\/((-1)\/(-1 - (6\/(-3) + 0))).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 102, 199, 296, 393, 490, 587?\n\"Answer: 97*i + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (7\/21)\/(2\/6). Let w be (-6)\/o*(-6)\/16. Determine b so that -w*b - 3\/4*b**3 + 3\/4 + 9\/4*b**2 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1001111110 - -11011100000?\nAnswer: 10001100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort 8, -17, -4747 in decreasing order.\nAnswer: 8, -17, -4747","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 409 + -692. Let y = -277.4 - d. What is y rounded to zero decimal places?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 862*j - 215*j + 67935 for j.\nAnswer: -105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6 + (11 - (19 + -13 - -4 - -8))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -1, -5\/2, 4, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 241 - 240.843. Let z = 31.357 - o. Let d = z - 31. Which is the closest to 1?  (a) -0.3  (b) -2  (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) be the third derivative of 0 + 0*u**3 + 1\/30*u**5 + 2*u**2 + 0*u**4 + 0*u. Let f(g) = g. What is s(f(h))?\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 3462 and 20.\nAnswer: 34620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 12220 - 12194. Suppose 0*w - 56 = -w + 4*z, z + 179 = 4*w. Calculate the remainder when w is divided by n.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.025*1804.0274\nAnswer: 45.100685","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 528 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify j\/j**(-17)*j*j**27*j assuming j is positive.\nAnswer: j**47","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**4\/u*u*u**3)**(-7) assuming u is positive.\nAnswer: u**(-49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -50 = -v + 2*c, -3 = 2*c + 7. Which is smaller: 39 or v?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find r such that -4*r**5 + 40*r**3 - 80*r**2 + 60*r - 16 = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = -2*w. Let m(q) = 215*q**2. Calculate c(m(j)).\nAnswer: -430*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.01 + 3.01. Let f = -2.6 + r. What is the second biggest value in -2, f, 4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = u**3 + 131*u**2 + 128*u - 257. What is h(-130)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -111.1 + 111. Let s = r + -0.4. Which is the fourth biggest value?  (a) -6  (b) -2\/13  (c) s  (d) 2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = 8*g**2 - 14*g. Suppose x - 10*x = 0. Suppose x = 6*m - 7*m + 14. Let n(p) = 3*p**2 - 4*p + 3*p - 6*p + 2*p. Give m*n(w) - 5*a(w).\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -83 (base 15) to base 11\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-3 - -4)*(2 - -2). Let i be (-60)\/(-9)*6\/a. Determine q so that -3*q**2 + 0*q**2 + i*q**3 - 10*q + 6*q**2 - 4 + q**2 = 0.\nAnswer: -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -532.97 rounded to zero decimal places?\nAnswer: -533","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -18?  (a) -3\/50  (b) 4  (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = -19*z - 20. Let g(m) = 6*m + 7. Let x(d) = 2*d**3 - 14*d**2 + 31*d - 4. Let o be x(3). Give o*g(y) + 6*q(y).\nAnswer: -12*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -684 = 28*k - 824 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = r**3 + 25*r**2 - 92*r + 13. Let o be p(-28). Let g be (0 - -6) + o\/(-79). Solve -6*c + 2*c = g*u - 15, 4*u + 2*c = 10 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -20222221 (base 3) to base 13.\nAnswer: -2425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1133957.\nAnswer: 11, 103087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 1\/5 of a centimeter?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1896131702 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -22 - -19. Let d be 1\/((1\/n)\/(-1)). Solve -c - 7*i = -d*i + 4, 4*i = -4 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 17 + -21. Let r(g) = -3*g + 4. Let l(x) = 4*x - 5. Let y(q) = 3*q + 1. Let m be y(-2). Calculate m*r(b) + z*l(b).\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2) + (sqrt(288) - (sqrt(288) + (sqrt(288) - (sqrt(288) - (-2 + sqrt(288)) - sqrt(288)))))**2)*5.\nAnswer: -475*sqrt(2) + 5780","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*q + 131*q + 903 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(99) - sqrt(99)*-2)**2 + -2*(-2 + sqrt(11)).\nAnswer: -2*sqrt(11) + 895","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 4553?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -828*y + 2933*y + 5 - 2115*y.\nAnswer: -10*y + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = n + 38. Let c be b(-8). Calculate the greatest common divisor of c and 140.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2.2 - -2.29. Let j = u - -0.41. What is the biggest value in -1\/3, 3, j?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify a**(-8)\/a**6 assuming a is positive.\nAnswer: a**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-9)\/(-15)*246\/(-369).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 53050786 - y - 53050786.\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = m**3 - 6*m**2 + 8*m + 15. Let c = -23 + 30. Does 30 divide n(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -17 divided by 99\nAnswer: -17\/99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Work out -2018 * 1.\nAnswer: -2018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = 2*y**2 + 18. Let q(z) = -z**2 - 9. What is -5*q(m) - 2*x(m)?\nAnswer: m**2 + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18 = 23*b + 87 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = -5*y**2 + 1056*y + 1055. Let d(o) = -7*o**2 + 1058*o + 1057. Let m(p) = 3*d(p) - 4*u(p). Find h such that m(h) = 0.\nAnswer: -1049, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 6\/(-24)*-1*2. Suppose -f = 4*f + 15, -n = 3*f + 4. What is the closest to r in 1\/2, -0.1, n?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wppm when four letters picked without replacement from mpppmpwppmpppmpppm.\nAnswer: 11\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 156*r**3 - 115*r**3 + 42*r**3.\nAnswer: 83*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-3 - (-10)\/2) + 2. Suppose -3*z = -0*z - 5*o - 8, -j*z + 20 = -2*o. Let i = 49 + -33. What is the remainder when i is divided by z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 241, 228, 213, 202, 201, 216, 253?\n\"Answer: z**3 - 7*z**2 + z + 246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) be the third derivative of -t**6\/30 - t**5\/60 - t**4\/24 + t**3\/6 + 29*t**2. Determine k(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 1\/184  (b) 0  (c) 4  (d) 1  (e) 72\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1\/(1 - 0)*12\/(-16).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(-2\/3))**50 assuming g is positive.\nAnswer: g**(-100\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 = -4*y + 3*x, 2*y + 4*x = 2*x - 14. Let t be -1*23\/(-1)*(y - -1). Let u = t + 25. Solve 0 = -u*v - 3*v - 5 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:19 PM and 7:19 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(sqrt(567)*2 + 0 - (sqrt(567) + -2 + -1)))**2.\nAnswer: 54*sqrt(7) + 576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r = 3*y - 3*r - 27, -5*r = 4*y - 1. Suppose a - y*l = 9, -2*a + 1 = -2*l - 11. Let g(c) = c**2 - 3*c + 2. Calculate g(a).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 808329461?\nAnswer: 4657, 173573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1745 - 1745.006. What is the closest to 2\/9 in 0.5, c, -0.1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = -19*p. Suppose -4*j + 9 = -39. Suppose j*o - 11*o = -1. What is m(o)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 441 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.933 + -0.007. Let m = w + -0.06. Let d = 3.6 + 0.4. Which is the closest to 2?  (a) d  (b) m  (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 8589853 to the nearest integer?\nAnswer: 2931","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -166 + 250. Is 6 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = 1681*n - 38662. Give j(23).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 4, i: 3, g: 2}. What is prob of picking 1 m and 2 i?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/13 in -2\/9, -2, -1\/3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 = 5*r, 4*x - 23 = -x + 2*r. Suppose -3*a = -t - 6, -3*t - a + 12 = -4*t. Let c = -5 - t. Calculate the smallest common multiple of x and c.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = n**3 - 26*n**2 - 121*n + 35. Let j be y(30). Solve 11 = 2*c + j*f, 4*c - 4*f - 11 = -c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3754197800?\nAnswer: 2, 5, 41, 457829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*w - 5*w = -48. Let d(l) = 8*l**2 + 4*l - 4. Let p(k) = 7*k**2 + 4*k - 3. What is w*d(r) - 4*p(r)?\nAnswer: -4*r**2 - 4*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -4679 - -4694. Suppose 0 = 3*o + u + 1 - 8, -4*u + 1 = 3*o. Calculate the lowest common multiple of r and o.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.4, -4\/9, -7, -1\/148747, 5.\nAnswer: -7, -4\/9, -0.4, -1\/148747, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 39208218*p**2 + 41*p + 441028 wrt p?\nAnswer: 78416436","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bed when three letters picked without replacement from {o: 3, z: 1, b: 1, e: 1, d: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 137857 is divided by 17230.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = -2*h**2 - 2*h + 4. Let w(r) = -2*r**2 - 2*r + 5. Determine 5*w(s) - 6*x(s).\nAnswer: 2*s**2 + 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.48528 * -2313.\nAnswer: 1122.45264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/4*20\/(-5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = r**3 + r**2 + 138. Let a = 58 + -54. Suppose -a*o + 138 = 3*b, 35*o = 32*o + 5*b + 118. Calculate the remainder when k(0) is divided by o.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 155 a factor of 169610?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 52 - 47 - -1*46 and 1284?\nAnswer: 21828","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(1\/2)\/d*d*d\/(d*d*d**1\/d))\/((d\/(d*d*d\/(d*d**(1\/4))))\/d)**(-32) assuming d is positive.\nAnswer: d**(-113\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2*x**6 - 19*x**5 - 780*x**4 + 79586*x**2 wrt x.\nAnswer: 240*x**3 - 1140*x**2 - 18720*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -614586*b**3 - 758*b**2 + 18*b - 2 wrt b.\nAnswer: -3687516","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (116\/12 + -3)*-684. What is v rounded to the nearest 100?\nAnswer: -4600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 3 - 1)*(-w + 3*w - w) + (3 - 3 + 1 + (-3 + 0 + 4)*(0 - 3 + 2) - 5 + 2 + 2 - 4 + 7 - 4 + 5 - 3 - 3 + 2 - 6 + 3 - 2 + 4 - 1)*(5*w - 3*w + 0*w).\nAnswer: -8*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 518421 is divided by 633?\nAnswer: 627","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2190?\nAnswer: 2, 3, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000005937 rounded to seven dps?\nAnswer: -0.0000059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = 13*k + 18. Let t(g) = 6*g + 8. Let r(w) = 9*t(w) - 4*z(w). Let h(s) = -113*s. Give h(r(n)).\nAnswer: -226*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Determine j, given that -11*j**4 + 210*j**2 + 28*j**4 + 55*j**3 - 12*j**4 + 160 + 320*j = 0.\nAnswer: -4, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -7102, -7104, -7106, -7108, -7110, -7112?\nAnswer: -7114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 19515473?\nAnswer: 17, 1147969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 71 - 65. Let d be (1\/f)\/(8\/12). What is n in 0*n - 1\/4*n**2 - d*n**3 + 0 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.01385769 to 4 dps.\nAnswer: 0.0139","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -63 + 525. Suppose c = 11*y - 8*y. Suppose o - y = -2*h, 2*o - 2*h + 32 = 322. Is o a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7096370 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:27 AM and 7:43 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) be the second derivative of -z**4\/30 + 8*z**3\/15 - 16*z**2\/5 - 16*z. What is w in k(w) = 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -88 - -91. What are the prime factors of (-9)\/(81\/(-336))*w?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -53583 = 1062*t + 254*t - 305*t for t.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 1\/2 - 93\/(-6). Suppose 0 = t - 3*t - 5*y, -4*t - 2*y = -q. Suppose -2*j + 4*j + 6 = -t*c, 0 = -j + 5*c - 3. Let z(g) = -g**3 - 4*g**2 - g. Give z(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (6 + -8)*(-9)\/(-6). Let n be (-1 - b)\/2*3. Let h = -4 + 13. What is the highest common factor of n and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -96, -255, -426, -615, -828?\nAnswer: -1071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (q**2 + 0*q + 0*q)*(-2*q**2 + 0*q**2 - 10*q**2) - 2*q**4 + 2*q**4 + q**4 to n + o*q + i*q**4 + y*q**3 + b*q**2 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 56920664 is divided by 395.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 75?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-3*sqrt(286)*6)\/sqrt(11))\/(2*sqrt(98) + sqrt(22)\/(sqrt(22)\/sqrt(2))).\nAnswer: -6*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = 5*m + 186. Let p be b(-38). Sort 0, -0.1, p, -14.\nAnswer: -14, p, -0.1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 24360847*a**3 - a**2 + 459804*a.\nAnswer: 146165082","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*n = 18*n - 10. Suppose 4*p - 2*g - 102 = 0, -5*p + 4*g + 184 - 55 = 0. Find the third derivative of 21*f**2 - p*f**n - 11*f**3 - f**3 wrt f.\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 7, o: 1, u: 6, g: 2, a: 3}. Give prob of picking 2 u.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4641 = -70*s - 6321 for s.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = 2382*c - 1196*c - 1196*c. Let h(j) = 43*j**2. What is h(m(u))?\nAnswer: 4300*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -l + r - 5 - 8, 2*l + 5 = -5*r. Let m = l + -14. Let z = -17 - m. Does 7 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6355074 to the power of 1\/2, to the nearest integer?\nAnswer: 2521","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n - 4*n + 102000 = 0. Suppose 0 = -13*i + 12*i - n. What is i rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 26203 + -10?\nAnswer: 26163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -213867, -427665, -641455, -855231, -1068987, -1282717, -1496415, -1710075?\n\"Answer: s**3 - 2*s**2 - 213799*s - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b - 332 = -2*u - 60, 0 = 4*u. Let z = 72 + b. Suppose 5*w - q - 17 = 0, 3*w - 13 = -5*q + 14. Solve -2*s - g = -z - 1, -5*s = w*g - 11 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 24 - 26. Let m(y) = -y + 2. Give m(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 48 divide 4234992?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand -5*m**4 + 4*m**4 - 48*m + 52*m + m**2 - m**4 - m**2 + (5 - 5 + m**2)*(-2*m**2 + 0*m**2 + m**2).\nAnswer: -3*m**4 + 4*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*j - 34 = 2*j + 30. Sort j, -17, 3, -14, 1 in ascending order.\nAnswer: -17, -14, j, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1543709 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 1, -6661\/2, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 30\/(-40) + 191294\/8 + -5 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = 14*b**2 - 5*b - 126. What are the prime factors of y(-8)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*x + t - 20 = 0, 0 = -8317*x + 8319*x + 8*t + 30 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1 + 3. Suppose 4*p - 2 = -a*i + 2*p, -4*i + p = -11. Solve 0 = -6*u + i*u + 4 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 501 a factor of 12195980?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-19 - (-507)\/26)*48. What is the highest common divisor of x and 2672?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -11 - -8 - ((0 - 0) + -3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -8.34 - -9. Let d = 0.56 - i. Which is the closest to d?  (a) -5  (b) -2  (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 4\/(-2) + 45\/27 - -1. What is the third smallest value in -3, 0.5, u, -0.36?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.102 - -4.402. Let b = -0.3 + s. Put 3, b, -0.03 in descending order.\nAnswer: b, 3, -0.03","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 262 is divided by 118?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort -109, -1, -7 in descending order.\nAnswer: -1, -7, -109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 5944661029 to the nearest integer?\nAnswer: 77102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = w + 11 - 16. Let p(i) = -3*i - 3*i + 4 - 1 + i. What is p(w)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1705753*v + 3*v**2 - 1705753*v.\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 19 - -8. Calculate the smallest common multiple of 3 and q.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {q: 4, f: 6, d: 1, h: 2, n: 2}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 746763?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0926273 take away -273919478?\nAnswer: 273919477.9073727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 22274679 is divided by 162.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 2454 - 1770. Does 6 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:50 AM and 2:28 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = 4*t + 2. Let w(h) = -177*h**2 + 85*h**2 + 90*h**2. Give w(b(q)).\nAnswer: -32*q**2 - 32*q - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 1024019958 to the power of 1\/2, to the nearest integer?\nAnswer: 32000","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 548 and 137.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-47)\/658*14\/(-4)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -22*o**4 + 34*o**3 - 12*o**2.\nAnswer: -2*o**2*(o - 1)*(11*o - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 334498 to the nearest integer?\nAnswer: 578","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 64145, 128286, 192427, 256568, 320709, 384850?\nAnswer: 448991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand -8*j**4 - 2*j**4 - j**3 + 9*j**4 + (j**3 - j**2 + j**2)*(j - 4*j + j).\nAnswer: -3*j**4 - j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -24 + 26. Sort -2, 1, a.\nAnswer: -2, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from swwssowwwzwooso. Give prob of picking 4 s.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 163 divide 17257820?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = 5*y + 13. Let o be t(3). Suppose -31*l + o*l + 48 = 0. Calculate the lowest common multiple of 24 and l.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -20 - -7 - (0 - 5)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -501 + 504.59. Round r to one decimal place.\nAnswer: 3.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-6)\/(-12)*-2 + -2. Suppose t + 0*t = 2. Let m = t + l. Which is the second biggest value?  (a) m  (b) 3  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 373\/5 - 56313\/755. Let s = w + 147\/302. Find n such that -1\/2*n - s*n**2 + 1\/2*n**3 + 1\/2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4 - 1) + -1 + -14 + 11?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -19997.549 rounded to the nearest one thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -2133810, -2133823, -2133836, -2133849, -2133862?\n\"Answer: -13*u - 2133797","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) be the first derivative of r**4\/4 - 4*r**3\/3 - 2*r**2 - r + 2. Let l be s(5). Suppose -l*k + 63 = -3*k. What are the prime factors of k?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 493700000 to the nearest one million.\nAnswer: 494000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-33*s**2 - 205 + 400 - 7*s - 196)*(s + 3*s - 2*s**2 - 3*s) to u*s**4 + h*s + v*s**2 + t + o*s**3 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 111289420?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2703 is divided by 338.\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t + z = -t - 351, -5*t + 4*z + 585 = 0. Let f = t + -62. Suppose -7*q + 50 = 3*q. Calculate the highest common factor of q and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5752470 is divided by 13729?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 2 + 1)*(-3*h**2 + 0*h**2 + 4*h**2) + 2*h - 2*h + h**2 + 2 - h**2 - 2 + (4 + 3 - 5)*(h**2 + 0 + 0).\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 87\/155 - 5\/31. Let v = 2 + -3. Is v greater than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*b + 2 = -4*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = 2*n - 4. Let o be b(4). Suppose -4*v - r - 56000 = -5*v, -168000 = -3*v + o*r. What is v rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 660823 to the power of 1\/3, to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = v - 4*i - 30, -3*v = v + i - 52. Find the third derivative of 7*s**2 - 7*s**6 + 5*s**6 - 3*s**3 + v*s**3 wrt s.\nAnswer: -240*s**3 + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 14 + 31337?\nAnswer: 31352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3090 + 6191 - 3077 + y.\nAnswer: y + 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put 17, 413, 7, 1, 4 in increasing order.\nAnswer: 1, 4, 7, 17, 413","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -43 + 66. Let x = 5 + u. Suppose -14*o + x = -13*o. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = 5 + 11*h + 0 - 13*h + 7*h**2. Let a(b) = -8*b**2 + 2*b - 6. Calculate 5*a(o) + 6*u(o).\nAnswer: 2*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*f - 3*f + 3. Is (f + 2\/(-4))*-18 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a - 243 = -3*s, 4*a - 4*s - 111 = 153. Is a even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -20.2480028222 - -20.248. What is h rounded to seven dps?\nAnswer: -0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 20112 (base 6) to base 16.\nAnswer: a4c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u + g - 279 = 54, -u + 5*g + 363 = 0. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = -p**3 - 7*p**2 - 5*p. What is s(-5)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/2871 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1.5 + -2.7. Let q = -1 - i. What is the closest to q in 1\/3, -0.2, 2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 266092.5 months in years?\nAnswer: 22174.375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = 51*b + 717. Let v be x(-14). Put v, -162, -5 in ascending order.\nAnswer: -162, -5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 20.3*908.\nAnswer: 18432.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 a factor of 17882337?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*(sqrt(192)*2 - sqrt(192)))\/(2*(sqrt(100) + sqrt(4))) + 3.\nAnswer: 2*sqrt(3)\/3 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = 9*g**2 - 2*g + 1. Give z(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x - 3 = 2*x. Solve -c = -0*c + x for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = 49*u**2 - 71*u - 43. Let x(q) = -9*q**2 + 14*q + 9. Let a(y) = -2*l(y) - 11*x(y). Determine a(13).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -5?  (a) 1  (b) 1\/6  (c) 0.3  (d) 0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1855386510?\nAnswer: 2, 3, 5, 61846217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 102997 and 352.17?\nAnswer: 102644.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -8*v + 3*v + 3*f, 5*v = -3*f - 30. Put -2, 0.2, 10, v in descending order.\nAnswer: 10, 0.2, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 3 + -26. Let r = 21 + k. Let v be 2 - (4\/2 + r). Solve -3*n - 2 = -f - 10, -4*f = -v*n + 22 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = -3*x**2 - 2. Let a(o) = 4*o**2 - o + 3. Suppose 4*h + 1 = 17. Suppose 0 = 4*q - h + 12. Let r(n) = q*a(n) - 3*p(n). Find b such that r(b) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = 28*j**2 - 2*j. Let u be g(-1). Let n be (-598)\/22 - (-2 - 60\/(-33)). Let h = u + n. Solve -3*k - 12 - 3 = -3*l, 5*k = -h*l - 1 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 350 a factor of 849527350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = 2*u + 2 + u**2 + u + 2*u. Let y be h(-4). Let l be y\/8 + (-3)\/12. Is l less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = 4831*h - 33706. Calculate q(7).\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.18591 + -15.27991. What is q rounded to 0 dps?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(32))**2 + 0 + 3.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 3 + -2 + (5822\/123)\/(-71). Let j be -19 + 2\/(-2)*1. What is the second smallest value in 3\/8, b, j?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3 + (5 - 12 - -4)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 322a - -178?\nAnswer: 33a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {l: 3, e: 3}. Give prob of picking 1 e and 3 l.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 7.4 - 5. Let f = s - 22.4. Let j = f - -19.999989. Round j to five decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*a + 3*a - 3*a - 2*a**2 + 3*a**3 to the form j*a**2 + d*a**3 + t*a + y and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort -9, -4, -11, -47.\nAnswer: -47, -11, -9, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = r**3 + r**2 - r + 1. Let v(d) = -7*d**3 - 13*d**2 + 7*d + 2. Let b(q) = -6*g(q) - v(q). Suppose 4*p + 24 + 8 = -o, -3*o - 5 = -p. Determine b(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 30574 (base 11) to base 5.\nAnswer: 2411414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from ququu.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 80557?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = 3*o**2 + o**2 - o - 2 + 2*o - 3*o**2. Let t be k(-2). Solve t = -6*q + 4*q - 2 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -412918.32 to the nearest one thousand.\nAnswer: -413000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*x - 696*p = -691*p + 100, 5*x + 90 = -3*p for x.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 284.3 - 261. Let g = 20.37 - d. Let o = g + 2.8. What is o rounded to 1 dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/31?  (a) -3  (b) -0.1  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 + -15 + 9 + (3 - -18)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w*w**(-13))\/w**(-42))**(-6\/7) assuming w is positive.\nAnswer: w**(-180\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 1 (base 2) to base 3\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: (69 - (29 + -10)) + -16 + -7 + 3 + -5\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = -p**2 + 8*p + 6. Let k be u(5). Suppose k = o + 4*r, r + 2*r = 2*o + 2. Solve o*c = -7 + 27 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 104 and -2?\nAnswer: -208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 6903?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19 - 26*r + 27*r**2 - 67*r + 17*r**3 + 24 + 35 - 19*r**3 = 0. What is r?\nAnswer: 1\/2, 5, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-12 - -6) + -6 + 6 + 4 + (0 - -58).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = l**2 + 6*l + 6. Let z(d) be the first derivative of d**3\/3 + 7*d**2\/2 + 7*d - 9. What is 7*q(g) - 6*z(g)?\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -22\/3 + 7. Let m = -7776 + 7774. Which is the closest to -1?  (a) d  (b) m  (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -2, 8, 24, 46, 74?\n\"Answer: 3*a**2 + a - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*n**2 - 2*n + 2*n + (-2*n - 2*n + 5*n)*(-3*n - n + 5*n) + (-2 + n + 2)*(3 - 3 + 2*n).\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r + 0*r = 0. Let k = 39 + -36. Suppose r = -k*s - 2*m - 5, 4*s = -2*m - m - 8. Which is the third biggest value?  (a) 0  (b) -1  (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = -r. Let i(p) = -5*p - 1. Suppose 0 = -x + 6*x - 5. Let n be i(x). Let k(a) = -a. Give n*g(j) + 4*k(j).\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -605647.39 rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 21427104619 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 7*b**2*i*l**2 - 1510*b**2*i*l + 3*b**2*l + 20*b*i*l**2 - b*i + 2*b - 24*i*l - 3*i wrt b.\nAnswer: 14*i*l**2 - 3020*i*l + 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-3 + -2)\/((-2)\/2). Let l = -1 + f. Suppose 0*u**2 + 1\/4 + 1\/2*u**3 - 1\/2*u - 1\/4*u**l = 0. What is u?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 16 + -24. Which is smaller: -11 or j?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -72*32\/1792*(-56)\/16*-1.\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 443174 + 106004 = 14*o. Let w = o + -2706614\/69. Calculate the common denominator of w and 7\/3.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -827737 + 20701296\/25. Let t = 315 - q. What is the common denominator of 117\/20 and t?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = -55*z**3 + z**2 - z - 1. Let a be q(-1). Suppose 2 + 1 = x. Suppose -11 + x = -m. Calculate the highest common factor of a and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -6 - -16. Let v(t) = 2*t**2 - 14*t + 7. Let c be v(7). Let a = g - c. Solve a*d = d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 22 (base 5) in base 10?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 259768 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 (base 4) in base 14?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.02, -2\/3, 1, -0.3.\nAnswer: -2\/3, -0.3, 0.02, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -25163 + 25163.1. Let v be (-32)\/(-180) + (-4)\/10. Which is the closest to 21?  (a) n  (b) -2  (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 231 minutes after 9:23 AM?\nAnswer: 1:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/50 of a kilogram in milligrams?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (35*121\/10890)\/(1*(-1)\/4).\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 4 - 2*u**2)*(0*u**2 - u**2 + 3*u**2) - u**4 - 2*u**4 + 2*u**4 - u**4 - u**4 - 70*u**3 + 68*u**3 - 142*u.\nAnswer: -7*u**4 - 2*u**3 - 142*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is (284\/2059*203\/14)\/(5\/(-25))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 126*q = 5*s - 92 - 49, 0 = 4*q + 4 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zn when two letters picked without replacement from nnzzzn?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x - 2*f = 4, 5*f - 10 = 4*x + 3. Let w = 5 - 8. Which is greater: w or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 257746 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*l + 2 = 14*l. Suppose 0 = 4*c + 12, l*z - 2*c = -0*c + 10. Solve 0 = -z*n - 0*n - 10 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -10.41 and 4.\nAnswer: -41.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g + 733 = 3*g - 4*q, 0 = -4*g - q + 3017. Let b = g + -350. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p + 5 = -p. Solve 4*o**3 - 2*o**3 + 2*o**4 - p*o**2 + 3*o**2 + 2*o**5 - 4*o**3 = 0 for o.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8280.213 centimeters to meters.\nAnswer: 82.80213","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -15, -21, -45, -99, -195, -345, -561, -855?\n\"Answer: -2*z**3 + 3*z**2 - z - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = -45*d**2 - 3*d. Let b = -2818 + 2813. Let j(o) = -30*o**2 - 2*o. Calculate b*h(k) + 7*j(k).\nAnswer: 15*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*-4*(1 + -2*(-1*sqrt(200) + sqrt(200)) + sqrt(200) + 1).\nAnswer: -40*sqrt(2) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -d7 (base 15) to base 8\nAnswer: -312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -3*3\/((-9)\/5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1.1 - -0.1. Let h be (-4)\/(-3)*(-24)\/(-16). Suppose 0 = 4*f + h - 22. Which is the second smallest value?  (a) m  (b) f  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 819108 and 15920?\nAnswer: 803188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1.121186 + 2.121186. Let l = 15\/26 - -12\/13. Let m be 3\/5 + (-2 - -2). What is the biggest value in t, -4, m, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) be the second derivative of -511*r**5\/20 + 97*r**4\/3 + r**2 - 8*r + 12. What is the third derivative of t(j) wrt j?\nAnswer: -3066","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 24440532*y**6 + 5*y**4 - 387563702*y**2 wrt y.\nAnswer: 2932863840*y**3 + 120*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = l**3 - 10*l**2 - l + 18. Calculate the lowest common multiple of g(10) and 11*4 - (-5 - -7).\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -3\/2  (b) 2\/5  (c) -32  (d) 67\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 75245575 to the power of 1\/2, to the nearest integer?\nAnswer: 8674","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 55 a factor of 290565?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 1906663247 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 109\/12, 1\/8, 2\/15, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -78*j + 83*j - 1400. What is the greatest common factor of 35 and j?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (36*h - 31*h - 23*h)*(-46 + 46 + 8*h**3) + (-5 + 5 - 2*h**3)*(6*h - 2*h - 2*h) - h**4 + h**4 + h**4.\nAnswer: -147*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -54.04 + 55. Let d = c + -1. Let v = -344583 + 344584. What is the closest to v in 0.2, d, 0?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 73 - 2*k**3 + 72 + 58*k**2 - 58*k**2 - 145.\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-16)\/4)\/(9\/(-2) - -4). What is the lowest common multiple of -1*(0 + (4 - j)) - 3 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 524?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 521 + -19797\/38. Put -1, 0.3, l in descending order.\nAnswer: 0.3, l, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6528 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = 266825*p - 3468721. Give s(13).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -559817264753612 + 149471532221487353\/267. Let u = 1207988097 - h. Let a = 2056 - u. Which is bigger: a or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 15 - 0 - (-35 + 30 + 7)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*g - 16 = 1564935*d - 1564931*d, -5*d - 2*g - 20 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1103*q = -3*d + 7*d - 18074 + 2620, 0*d = -3*d + 9 for q.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -49 = -j + 2. Suppose 0 = 2*w - 47 - j. Suppose 3*o + w = 4*x, 4 - 3 = o. Is 3 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:45 PM and 5:28 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3 - 1 - -17) + -4 + 19?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from wwwqwwwwwwwwwwwwwwww. Give prob of sequence qw.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = -5*v**2 - 619*v - 14191. What is s(-93)?\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.036*-11.96.\nAnswer: 0.43056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 10010011 - -100110101?\nAnswer: 111001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 - (11 + -6 - (0 - -3))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/((-12)\/14)*133\/931?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 51\/10330 and 22\/15495.\nAnswer: 30990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) be the second derivative of x**7\/420 - x**5\/60 + x**3\/12 - 3*x**2\/2 - x. Let o(y) be the first derivative of j(y). Let o(r) = 0. Calculate r.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3 = 7*r - 5*r - 1 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) be the second derivative of -t**4\/8 - 5*t**3\/4 + 21*t**2\/2 + 67*t. Find w such that j(w) = 0.\nAnswer: -7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1 + 2. Let a be k\/(4\/(-76) + 0). Let y = 1 - a. Is 6 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 726 is divided by 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -2\/5  (b) 3\/7  (c) 2\/5  (d) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-1)\/(-5) + 8\/10. Calculate the remainder when 1 is divided by (-1)\/(r\/(-2)*2).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*m + 2*a - 11826, 3*m - 1448 = -3*a + 7426. What is the hundreds digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -4 - -2. Suppose -5 = -3*v + 1. Let b be ((1 - v)*6)\/2. Sort b, w, -4 in descending order.\nAnswer: w, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 218783 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.08338 rounded to two dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 48\/863639 and 53\/49.\nAnswer: 6045473","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -3.18 times 0.3?\nAnswer: -0.954","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*((sqrt(16)\/sqrt(8)*-3 + 1 + sqrt(50))**2 - (sqrt(96)\/(sqrt(18)\/sqrt(3)))\/((-2*sqrt(96))\/sqrt(12))).\nAnswer: -9 - 9*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 1*6\/(-15)*-5. Suppose b*k = 2 + 6. Let n be ((-7)\/10)\/(-7)*6. Sort n, k, 5 in decreasing order.\nAnswer: 5, k, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -2 + 6. Let g = c - 0.9. Let k = -3 + g. Which is smaller: 0 or k?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 65211 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 339943 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Determine x so that -6*x**5 - 663640*x**4 - 18350309094*x**3 + 24527766252*x**2 + 1645470530368*x - 550535834880 = 0.\nAnswer: -55304, -9, 1\/3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Divide -36756 by -3063.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -20, 11285, 7 in ascending order.\nAnswer: -20, 0, 7, 11285","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor -o**2\/9 + 172*o\/9 - 7396\/9.\nAnswer: -(o - 86)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 65*h - 65*h + 4*h**3.\nAnswer: 4*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-122)\/(-5 + 17 + 15). Which is smaller: -4 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) be the second derivative of -1\/6*c**3 - 1\/6*c**4 + 1\/2*c**2 - 3*c + 0. What is l(2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14870241131 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 0, -113, -5 in descending order.\nAnswer: 4, 0, -5, -113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -251 divided by -4\nAnswer: 251\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c + 33 - 13 = 0. Sort c, -2, 3.\nAnswer: c, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1100 and 152.\nAnswer: 41800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = -l**3 - 10*l**2 + 10*l - 4. Let a be y(-11). Let r(z) = z**2 - 3*z - 9. Let o be r(a). Solve 4*n + o = 3 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7*z**3 + 3*z**3 - 6*z**3)*(-4*z**2 + z**2 + 4*z**2).\nAnswer: -10*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = m + 2. Let w be n(8). Suppose 4*r = 5*t + 16, -3*t + 5*r - w = 10. Suppose -4*y + 9 + 3 = t. What are the prime factors of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 4\/(-10) - (-66)\/15. Let k = -29835.3 + 29835. Let x = -0.21 + 0.01. Which is the fourth smallest value?  (a) x  (b) k  (c) j  (d) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 315 is divided by 57?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -25, 23, 1\/2, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s - 2 - 3 = 0. Let h be (s + 4)*(-6)\/(-6). Sort 2\/7, -3, h in decreasing order.\nAnswer: h, 2\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 159761 is divided by 39541.\nAnswer: 1597","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l\/(((l\/(l*l**(1\/10))*l)\/l)\/l)*l*l)**12 assuming l is positive.\nAnswer: l**(246\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + (sqrt(190)\/sqrt(10) - sqrt(19) - sqrt(19))*3*-3.\nAnswer: 9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round -1076000 to the nearest 10000.\nAnswer: -1080000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in -4\/7, -15, 3?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 29*i*r**3 - 241*i*r - 3*i - 13780*r**3 + 6*r + 1 wrt r.\nAnswer: 174*i*r - 82680*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = 2422*a + 41173. What is d(-17)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 308 is divided by 45.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 5932927?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 112 - (-3 + (1 - -3)) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-2771)\/(-51) + 2\/3. What is the greatest common divisor of 11 and m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 16\/32 + (-1 - (-414)\/4)?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 33*f**5 + 45*f**4*t**2 - 9*f*t - 9*f + 2*t**2 - 2*t wrt f.\nAnswer: 660*f**3 + 540*f**2*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 = -43*b + 42*b. Suppose 9 = -3*m + 36. What is the least common multiple of m and b?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zzd when three letters picked without replacement from dzz?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -29*a + 5640 = 18*a. What is the highest common factor of 735 and a?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -50.97 times 72\nAnswer: -3669.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.03 times -4150?\nAnswer: -124.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 161 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 32 and 20272.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7722 is divided by 322?\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:09 PM and 11:49 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*b - 30 = 10*b. Solve -b = 2*o - o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = h**3 + 23*h**2 - 75*h + 82. Let w be b(-26). Solve -3*y + 1 + 4 = 2*o, w*y = -5*o - 5 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = 21*h + 299. Give z(-14).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 3 - 3*(-26 + 3). Suppose -q = 2*q - w. Does 12 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve p + 21 = -4*r, 16*p - 10 = 11*p + 3*r for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 322 and 4370?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 76*n*y**3 - 7*n*y**2 + 2353*n*y + 3*y**2 - y + 1 wrt y?\nAnswer: 456*n*y - 14*n + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 28344 at least 114?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*t**3 - t**3 + t**3 + (4*t**3 + t**3 - t**3)*(38 + 7 - 20).\nAnswer: 102*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 5832459?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 156250, 312509, 468792, 625111, 781478?\n\"Answer: 2*x**3 + 156245*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2.869731km to micrometers.\nAnswer: 2869731000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 3, k: 3, q: 3, r: 2, y: 3}. What is prob of sequence rr?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.6 + 0.4. Let a = 1 + -4. Let j = 372 + -376. What is the biggest value in j, c, a?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 56, -9034, -3, -2 in decreasing order.\nAnswer: 56, -2, -3, -9034","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 26 + 13. Is c a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12*n + 20*n - 2*n**2 - 20*n.\nAnswer: -2*n**2 - 12*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00244473079 to four dps.\nAnswer: -0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = 4*m**2. Let s(r) = 10*r - 3*r + 58 - 4*r - 4*r. Calculate s(t(c)).\nAnswer: -4*c**2 + 58","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify u**(6\/23)*u**(2\/7)\/u*u**(1\/3)\/((u**5\/u*u)\/u) assuming u is positive.\nAnswer: u**(-1990\/483)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = -i**3 + 4*i**2 + 3*i. Give k(4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1569425864?\nAnswer: 2, 196178233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 17427 (base 9) to base 11\nAnswer: 9031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) be the second derivative of -n**3 + 21*n + 23. Let h(p) = -18*p. Give 7*b(z) - 2*h(z).\nAnswer: -6*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 32 - 23. Let i be 6\/(-4)*(-24)\/z. Suppose -i = 5*f - 14. Sort -0.4, -0.5, f in descending order.\nAnswer: f, -0.4, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 13*g - 6 + 5 + 1 to the form u*g + j and give u.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -5, -5, 3, 25, 67, 135, 235?\n\"Answer: j**3 - 2*j**2 - j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: (3\/(-9))\/((-8)\/(-16))*(-18)\/(-15)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*i**3 + 4*i**3 - 4*i**3)*(0*i + i - 4*i) - 2*i**4 - 2*i**4 - i**4.\nAnswer: i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 5665, 22672, 51025, 90730, 141793, 204220, 278017, 363190?\n\"Answer: d**3 + 5667*d**2 - d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*i - 5*m - 55, m = 4*i + 3*m + 78. Let o = -35 - i. Let h = 26 + -25. Sort h, 4, o, 3 in increasing order.\nAnswer: o, h, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*o = n + 4*n + 12, 13*n - 15*n = -357*o + 359*o + 2 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*c - 5 = 55*i - 58*i, 5*i - 4*c + 9 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {s: 1, x: 1, j: 7}. Give prob of picking 1 s and 3 j.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.2 - 0.2. Let i = -16 - -11. Let v = i + 4.6. Which is the biggest value?  (a) 4  (b) x  (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = -1217*k + 3. Let c(s) = -4*s + 8. Give f(c(g)).\nAnswer: 4868*g - 9733","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m - 15 = -3*m. Suppose 85 = m*b - 35. Calculate the greatest common divisor of 5 and b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -41 + 44. Suppose n*j = -2*l + 37, -j = -0*l - 4*l - 31. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.2, 1\/9, 7344?\nAnswer: 7344","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1009 + -1628. Let o = w + 634. Solve 5*k = o, 2*k - 4 = a - 1 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(32) + 4)**2*6.\nAnswer: 192*sqrt(2) + 288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = -i**2 - 8*i - 2. Suppose 4*s = -p + 2*p + 99, -4*p = 12. Suppose 3*c - 12 = -s. Let g be h(c). Solve -5*b - 4*y + 2 - g = 0, -12 = 4*y for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2\/32237 or 0?\nAnswer: -2\/32237","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand -5072*j + 5072*j + 24*j**4 + j**2 - 2*j**4 - j**2 + 4*j - j**4 - 4*j + (3*j**3 + j**3 - 3*j**3)*(-5*j + 4*j - j).\nAnswer: 19*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence upp when three letters picked without replacement from pupmpupuupuuumu.\nAnswer: 16\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4093 = -923*x - 8829 for x.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 266 and 238?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {q: 4, u: 6}. What is prob of picking 1 q and 2 u?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 729?  (a) -2\/5  (b) 0.9  (c) -1\/7  (d) -0.3  (e) -811\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 7\/3 + 80\/(-60). Let c(r) = 2*r**3 + 3*r**2 - 3. Let v be c(g). Let h = 0.8 + 5.2. Which is smaller: h or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = 2*b - 1. Let k be v(3). Let d(n) = -2*n + 22. Let a be d(7). Suppose -o + 5*z = -a, k*z + 9 = 4*o - 8. Solve 7*h = o*h - 12 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 28667 and 48392?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from uxxxxxokuuxkuyx. Give prob of picking 1 o and 1 u.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in eighteen fifths of a micrometer?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (3*(-14)\/(-21))\/((-2)\/(-4)). Suppose -6*t + 1565 = 5*b - 3*t, t - 1245 = -u*b. Is b a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k - 20 = -5*u, -k + 5 = 9*u - 4*u. Solve 3*z + k*m = -10, -25 = -3*z + 3*m - m for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = 29*c - 17*c + 1 - 1. Let f(r) = -r**3 + 18*r**2 + 18*r + 22. Let x be f(19). Let h(p) = p + 0 - 3 + x. Give y(h(v)).\nAnswer: 12*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -7 - -b3bb30?\nAnswer: b3bb28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4132.\nAnswer: 2, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 15610 and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 82174949 to the power of 1\/3, to the nearest integer?\nAnswer: 435","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2575 is divided by 441.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8186 is divided by 182?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 851, 3429, 7717, 13715, 21423, 30841, 41969?\nAnswer: 54807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-96)\/(-8))\/(-84)*(-56)\/6.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 573?\nAnswer: 3, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 93 and 79461804.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 13?  (a) 0.8  (b) 0.4  (c) -0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x = 2*j - 65, x = 6*j - 2*j + 45. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 27 - 27 - (3 + 1)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 817649653 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -57*g - 48*g + 252 = -126*g for g.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 8582 and 98?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/3, 228, -0.5, -19, -8, 6 in ascending order.\nAnswer: -19, -8, -0.5, 2\/3, 6, 228","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = 3*o**2 - o - 1. Let s be w(-3). Suppose 0 = 4*l - s - 39. Calculate the greatest common divisor of l and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.02 + 49.26692\nAnswer: 49.28692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -315368, -315366, -315364, -315362, -315360, -315358?\nAnswer: -315356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 661850.9l to millilitres.\nAnswer: 661850900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 669 - 962. Let s = 298 + q. Solve -v - s + 8 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.2, 0.4, -3990?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i = -u - 89, -5*i - 4*u = u - 155. Suppose 27*d + 156 = i*d. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 144 and 6607152?\nAnswer: 6607152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 671 + -478. Let z(m) = -640*m + 2453. Let q be z(4). Let w = q + i. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 83323.\nAnswer: 97, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -17673, -34927, -52193, -69471?\nAnswer: -86761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -1  (b) -4\/3  (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = n**2 - 7*n + 6. Let l be h(5). Let q(i) = -i + 1 + 0 - 5 + 5. Let g be q(l). Solve 25 = -5*w, 2*f = -3*f + 5*w + g for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4378 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (10*g - 2*g - 3*g - 4*g)*(-8*g - 10*g - 10*g).\nAnswer: -28*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1.2 + -1. Let q = o - 0.4. Let j(x) = -x**3 + 5*x**2 + 6*x - 4. Let u be j(6). What is the third biggest value in -1, u, q?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 10 and 136257385?\nAnswer: 272514770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of (-113472)\/80*(-5)\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.105576ml to litres.\nAnswer: 0.000105576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 96897 to the power of 1\/2, to the nearest integer?\nAnswer: 311","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert -46161 (base 7) to base 11.\nAnswer: -8916","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 64\/5 of a millennium?\nAnswer: 1280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -5538, -8580, -13650, -20748, -29874?\nAnswer: -41028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g\/g**(-19))\/g*((g\/g**(-2\/19))\/g)\/g*g)\/((g\/(g*g**13))\/(g**(6\/11)*g)) assuming g is positive.\nAnswer: g**(7033\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -23*k**2 + 7 - 4*k + 633 + 467 - 56*k**2 wrt k?\nAnswer: -158*k - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b = 5*g - 11 - 67, -2*b + 78 = -4*g. Let l = -109 - -122. What is the greatest common divisor of l and b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2.559152 centuries to millennia.\nAnswer: 0.2559152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = -26*u - 5. Let v(i) = -20*i**2. Determine b(v(q)).\nAnswer: 520*q**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 4 and 136090?\nAnswer: 272180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 85247677?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 735*a = 727*a + 26960. List the prime factors of a.\nAnswer: 2, 5, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*c - 12330 = -12517. Let h(b) = b**3 + 15*b**2 - 32*b + 31. Calculate h(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30 = -5*j - 3*i + i, 0 = 2*i - 10. Suppose g + 7755 = j*g. Let f = -1516 + g. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 141.798 - 142. Let c = 0.002 + z. Suppose -t - 25 = 4*t. What is the closest to -1\/2 in c, t, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = -v**3 - 5*v**2 - 3*v + 3. Suppose -9*q - 27 = -0*q. Calculate s(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p + h = -22, -h = 3*p + 3 - 21. Suppose 23 = p*g - 12. Let v(o) = o**3 - 7*o**2 + o. Give v(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.1 - 234.4000609.\nAnswer: -234.3000609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -35*n + 11*n + 10*n + 12*n.\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 3902 - 3287. What are the prime factors of k?\nAnswer: 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x + 25 = 3*j, -x - 5 = -0*j + 3*j. Let a(g) = -g**2 + g. Let i(b) = 7*b**2 - 11*b - 1. Give x*a(z) - i(z).\nAnswer: -2*z**2 + 6*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ppcpccc. Give prob of picking 2 c.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 1546, -6 in ascending order.\nAnswer: -6, -1, 1546","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 60\/(-25) - (0 - 2).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -17233, 0, -1 in increasing order.\nAnswer: -17233, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 8\/21 - 6\/(-21). Suppose 0*g + 2*g - 10 = 0. Suppose 15 = g*j - 0. What is the nearest to 0 in d, -2\/19, j?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 25855 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -148 - -153. Suppose -9*b - x*b + 700 = 0. What is the remainder when 199 is divided by b?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 608003?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find y, given that 2*y**5 + 30*y**4 - 500*y**3 = 0.\nAnswer: -25, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*sqrt(100)\/sqrt(2) + -2*sqrt(200))\/(sqrt(30)\/((sqrt(165)\/sqrt(5))\/sqrt(11)))*5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 26502 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rmmr when four letters picked without replacement from mmmmmmrrmm?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -40.317 - 0.083. Let z = d - 11.6. Let v = 51 + z. Which is the closest to -5?  (a) 2  (b) -0.1  (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*v - 375 + 425 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) be the first derivative of -z**4\/4 - 7*z**3\/3 + z**2\/2 + 9*z - 4. Let p be t(-7). Solve 0 = -5*n + 6*n - p*d + 6, 10 = -n + 4*d for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 0 - 2210212200?\nAnswer: -2210212200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 4676, 9388, 14102, 18818, 23536, 28256?\nAnswer: 32978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a + 6*a + 5233 = 5*l, 5*l = 5*a + 5225. Suppose f - l = -z, -6 = 26*f - 28*f. What are the prime factors of z?\nAnswer: 2, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(-1\/2)\/q)**(9\/5)*(q**(-1))**(-26)*((q**(3\/4)*q)\/(q**(-2)\/q*q))**(-27) assuming q is positive.\nAnswer: q**(-1559\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of ((-4312)\/385)\/(2\/(-200)) and 3.\nAnswer: 3360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -23*c**2 - 3*c + 3*c + 0*c - 49*c**2.\nAnswer: -72*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = -36*b + 1. Let w be t(-2). Let u = w + -50. List the prime factors of u.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = -q + 6. Suppose -5*y = 3*a - q, 4 = y - 2*a - 4. Let r(h) = 2*h - h - 3*h - y*h. Let w(c) = 2*c. What is r(w(u))?\nAnswer: -12*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round -197961200 to the nearest 1000000.\nAnswer: -198000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort -12, 3, -11, -14276\/7 in decreasing order.\nAnswer: 3, -11, -12, -14276\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = 765*v**2 - 3047*v - 60. Give d(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -250 divided by 369?\nAnswer: -250\/369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: (28*31\/(-155))\/((3\/(-2))\/((-195)\/52))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = -15*m - 3. Is 9 a factor of z(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1558210 to the power of 1\/5, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:58 AM and 8:20 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 6.2 and -9.\nAnswer: -55.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 209 minutes before 10:27 AM?\nAnswer: 6:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = 7*g**2 + 797*g - 5636. Determine k(7).\nAnswer: 286","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 33 = -g + 37, 2*b + 0*b + g - 4 = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1\/(-5)*-3)\/((-162)\/324).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 4, -1466 in descending order.\nAnswer: 4, 0, -1466","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence op when two letters picked without replacement from ppopppop.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = h**2 - 4*h - 9. Is q(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 88 + -355\/4. Is o <= -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 72 divide 4332\/11 - 4\/(-22)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:24 AM and 3:17 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((0 - 2 + 4)*(-3 - 4 + 5) + 1 - 2 - 4)*(-1 - 6355*d + 74*d**3 + 6355*d).\nAnswer: -666*d**3 + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o + 5*s + 88 - 25 = 0, s = -3. Let x be -3 + (-20)\/o*3. Suppose x*m + 6 - 60 = 0. Is m a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.12 in 0, -3\/5, 1, 8, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 51134920 or 153404756\/3?\nAnswer: 153404756\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/4?  (a) 13  (b) 1  (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 24100827 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 0 + (-38)\/14 + (-12)\/(-4). Let q be -3 + (-5 + 0)*72\/10. Let n = -39 - q. What is the nearest to n in z, -0.2, -5\/4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = -24*q + 89*q - 20*q - 23*q - 15*q. Let z(b) = -37*b**2. Give z(c(m)).\nAnswer: -1813*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 45518 is divided by 11307?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gff when three letters picked without replacement from {f: 7, g: 3, o: 3}.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 11 - 20. Let d = b - -15. Let l = d - 2. What is the second biggest value in -3, 3, l?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1 + 2. Let o be ((-189)\/6)\/f*-2. What is the greatest common divisor of 3 and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is seventy-seven fifths of a hour in seconds?\nAnswer: 55440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = 12*r**2 + 3. Let k(m) = -2*m**2 + 63*m - 478. Let n be k(12). Let q(v) = 23*v**2 + 5. What is n*d(u) + 6*q(u)?\nAnswer: 18*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1\/(-4 + (-3)\/((-9)\/13)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ooooqoooqq. Give prob of picking 1 q and 1 o.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 3\/(0 + -6) + (-18)\/4. Sort 14, -7, o, -2 in decreasing order.\nAnswer: 14, -2, o, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*d**4 + 6*d**4 - d**4)*(3*d + 2*d - 3*d) + 213*d**5 - 169*d**5 - 258*d**5 + (-2*d**3 - d**3 + d**3)*(3*d**2 + 3*d**2 - 5*d**2).\nAnswer: -212*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = -a**2 - 162*a + 331. Let l be r(2). Let g(t) = -3*t**3 - t**2 + 4*t - 5. What is g(l)?\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -32 = -8*j - 128. Find the common denominator of 2 + 22\/(-3) - 0 and (-8 - 3)*((-4)\/j + -2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15572 - 15695 = -41*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 416738, 416740, 416744, 416750, 416758, 416768, 416780?\n\"Answer: c**2 - c + 416738","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = -2*k + 3. Let o be s(-5). Let y = o + -8. Suppose -y*x = -x - 8. Solve -4*j = 3*m + 24, 2 = x*j + 8 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 6.40995 decades?\nAnswer: 769.194","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 5052 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-302)\/(-18) - 10\/(-45). Let u = -11 + j. Let d = 1 - u. Which is bigger: 2 or d?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in eleven quarters of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*n + 7*n - 874419 - 870958 + 2*n + 1745377.\nAnswer: 5*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -35182.08 * 6\nAnswer: -211092.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -13 + 14. Suppose 317 = 2*h + i. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*o**4 + 95*o**3 - 170*o**2.\nAnswer: -5*o**2*(o - 17)*(o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 0  (b) 2\/3  (c) 0.4  (d) -212.45  (e) -0.1  (f) 1330\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1 (base 12) to base 9.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10000101 + -111001011010000?\nAnswer: -111001101010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 3 - ((0\/(-3))\/(-3))\/1. Is (-2)\/(-4) + d*388\/8 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) be the third derivative of -v**8\/1344 + v**7\/168 + v**6\/144 - v**5\/8 - 19*v**4\/24 - 16*v**2. Let j(w) be the second derivative of z(w). Solve j(t) = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -343*p**5 + 299*p**2 wrt p?\nAnswer: -20580*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 795656 + -360063. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 19661 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = -17*h - 150. Let o be n(-9). Let k be (10\/o)\/(6\/45). Which is smaller: 155\/6 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1147467.\nAnswer: 3, 19, 41, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00007295 rounded to five dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-93 - -144 - 28) + -1 + -1?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12\/5 + 1\/5*w**2 - 4\/5*w = 0. Calculate w.\nAnswer: -2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 6 - 36263?\nAnswer: -36256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*y + 10 = -5*t + 8*y, -3*t = 3*y - 15 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 52 - 52 = -2*w. Suppose 0 = c - 5*p + 11, w = 3*c - 0*c + p - 31. Calculate the remainder when 17 is divided by c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = p**3 + 19*p**2 - 22*p - 40. Suppose r - 6*r - 100 = 0. Let c be s(r). Let g be 1\/2 + (-4 - c)\/(-8). Solve -3*a + 2*a = -g for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2 - 2 + 7306*p - 6847*p to the form r*p + g and give r.\nAnswer: 459","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*f*k*y - 382*f*k - 2*f + 76*k*y - y with respect to y.\nAnswer: -2*f*k + 76*k - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16476*j - 95 = -16571*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = 43*p + 59. Let l be g(-9). Let j = l + 2507. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-2)\/4)\/(3 - (-202)\/(-68)). Which is bigger: -16 or l?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 4 + 2*t + (2 + 0 - 4)*(4*t + t - 3*t))*(-t + 4 - 4).\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 n and 1 s when three letters picked without replacement from {s: 7, n: 2}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve c - 18 = -5*s, -3*c + s + 12 = 2*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) -7\/39  (b) -7  (c) 0  (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:42 AM and 7:09 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = -3*u + 37. Suppose -2050*m + 514 = -2048*m. What is the remainder when m is divided by n(8)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -65\/66 and 109\/18?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 418*62\/38874*66.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -23513923 take away -29?\nAnswer: -23513894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-4 + (-60)\/(-9))*-3. Let c = 91.17 - 90. Let v = -1.83 - c. Is v less than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 96 divided by -55883?\nAnswer: -96\/55883","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -9*m**4 - 18*m**4 + 29*m**4 + 2*m - 58*m**2 - 165*m**3 + 1 + 84*m**3 + 83*m**3 to f + y*m**3 + p*m**2 + q*m**4 + k*m and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is q in -3*q**4\/7 + 12*q**3\/7 + 96*q**2\/7 = 0?\nAnswer: -4, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = -a**2 - 55*a - 107. Let b be u(-53). Let k(i) = i**2 - i + 1. Let d(v) = -8*v**3 + 3*v**2 - 5*v + 3. Let f(j) = -d(j) + 4*k(j). What is f(b)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*c = c + 5*i - 81, 14*c = 7*c - 93*i + 90*i - 130 for c.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 676 + 3 + -5 + -1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) be the second derivative of -f**3\/3 + 2*f - 1. Let p(k) = 21*k. Determine y(p(s)).\nAnswer: -42*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4000 = -173*g - 27*g for g.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 31.1 + -31. Let w = l - 0.9. Let s(h) = h**3 - 8*h**2 - 7*h - 15. Let j be s(9). Which is the third biggest value?  (a) j  (b) -2  (c) w  (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = 2*i**2 - 3*i - 1. Let a = -5 - -3. Let g be j(a). Let y = -9 + g. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 72 - 32. Let l = 54 - 33. What is the remainder when d is divided by l?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 74\/63 and -31\/39.\nAnswer: 819","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.62 rounded to one decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -272.7186 and -79?\nAnswer: 21544.7694","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 26*t**2 - 8*t**2 - 944644434 + 944644434.\nAnswer: 18*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 11 (base 2) to base 7\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -5 - 24023224?\nAnswer: -24023233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.069 * -0.322.\nAnswer: -0.022218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -5408\/173783 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -206\/3 + 68. Let t(y) = -15*y - 4. Let f be t(-4). Suppose -3*h + f = 59. Which is smaller: h or r?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -285, -1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = o**3 + 9*o**2 + 7*o - 18. Calculate k(-7).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = -5*f - 22. Calculate o(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round -12.94 to the nearest integer.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 382536 and 467775.\nAnswer: 2079","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = -2*v + 30. Let t be d(13). Solve -3*q - 6 = 4*z, -2*z - q + t = -3*q for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w + 309 = -x, 3*w + 231 = 5*x + 28. Let l = -151 - w. Round l to the nearest 10.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 345788 to the nearest integer?\nAnswer: 588","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = -7*k**2 + 6*k - 1. Let o(d) = -20*d**2 + 17*d - 3. Let l(i) = 17*j(i) - 6*o(i). What are the prime factors of l(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = -v**3 - 1. Suppose 0 = 4*k + 2*x + 10, 2*k - 5*x = 4*k + 9. Let q(n) be the first derivative of 5*n**4\/2 + 9*n - 1. Give k*q(b) - 18*s(b).\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a + 5 = -4*c + 45, -3*c - 4*a = -79. What is the remainder when 2202 is divided by c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (x - 5*x + 3*x)*(-x + 2*x - 3*x) + 0*x**2 + 2*x**2 - 7*x**2.\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round -2.290268059 to one dp.\nAnswer: -2.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 4619, 18494, 41619, 73994, 115619, 166494, 226619?\n\"Answer: 4625*f**2 - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = -92104318*v**2. Let h(z) = 5*z. Calculate h(n(d)).\nAnswer: -460521590*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w - 78 + 104 = 0. Calculate the highest common factor of 104 and w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 71 - 264. Let s = 201 + j. What is the highest common divisor of s and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m**1*m**(-5))\/(((m*m**(5\/4)*m)\/m)\/(m*m**(3\/5)*m*m)))\/((((m**1*m)\/m)\/m)**(34\/5)*m**(-7)\/(m**(-2\/9)\/m)) assuming m is positive.\nAnswer: m**(563\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = -u**2 - 41*u - 413. Let s be r(-17). Let x(z) = 2*z - 1. Let l be x(-1). Which is the second smallest value?  (a) -0.1  (b) -1  (c) s  (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -216 + 511. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 38026 is divided by 38022?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l**(1\/12)*l)\/l**(6\/7)*(l**1)**(-7\/5))\/((l*l\/(((l*l\/l**(-2\/5))\/l)\/l))**(2\/29)\/(l**1*l**2\/l)) assuming l is positive.\nAnswer: l**(8719\/12180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 69042 or 71844?\nAnswer: 71844","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -21 + 21 + (-4 - 1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3501925 by 35.\nAnswer: -100055","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = j**3 + 2*j**2 + j. Let b(r) = 2*r**3 + 3*r**2 + 2*r. Suppose 0 = 8*h - 32, 2*h + 1 - 21 = 2*d. Calculate d*b(w) + 10*g(w).\nAnswer: -2*w**3 + 2*w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0439226232 rounded to two dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor x**4 + 111*x**3 + 215*x**2 - 327*x.\nAnswer: x*(x - 1)*(x + 3)*(x + 109)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put -9, -65, 759 in increasing order.\nAnswer: -65, -9, 759","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 27812 - 9650749\/347. Which is bigger: 2 or i?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (3 - 2)*1*5. Let v = n - 0. Suppose -15 = -v*m + 5. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9643372835 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -63635 or -69972?\nAnswer: -63635","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 137\/600 and -121\/960?\nAnswer: 4800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -13 - (5 - 14) - 4?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nnr when three letters picked without replacement from {n: 7, r: 1}.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 4 - 3. Let a(i) = i**3 - 4*i**2 + 2*i - 8. Let d be a(4). Let f = 2 - d. Solve -w - p = 2*v, w = 2*v - f*w - 3 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-4)\/(1*2\/(-59)) + 0?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = -4*q**3 + 20*q**2 + 25*q - 37. What is c(-2)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 3 and 2 - (4 + 1 + -243).\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w - 3*c = -3*w + 4, 13 = 3*w - c. Let f be 1 + w + -1 + 0. Calculate the highest common factor of 25 and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = -3*h**2. Suppose 25 + 24 = t. Suppose -y = -6*y + 10. Let d(r) = r**y - 49 + t. Calculate z(d(f)).\nAnswer: -3*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -74 - -61 - (-1 - 18)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) be the first derivative of 3*a**4\/2 + 11*a**2\/2 + 11*a + 4. Let g(h) = 2*h**3 + 4*h + 4. Give -11*g(b) + 4*o(b).\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 160395, 160394, 160393, 160392?\n\"Answer: -h + 160396","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) -2\/5  (b) 0.1  (c) 5  (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = j**2 - 8*j - 2. Let m be x(8). Put -30, m, 5 in decreasing order.\nAnswer: 5, m, -30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n + 10 = 3*m + 3*n, -3*m = 3*n. Let i = 9 + m. Suppose 0 = -2*j - 8, 2*l - i*j = 20 + 10. List the prime factors of l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1.6?  (a) 24  (b) -3  (c) 0.5  (d) -8833\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 221 is divided by 37.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -98238 and 0?\nAnswer: 98238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 5 divided by 2092451\nAnswer: 5\/2092451","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 5.116 + -0.116. Which is the closest to -15?  (a) 3  (b) -0.2  (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 163 - 164.1. Let h = -2 + m. Round h to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10083000 - 10083000 + 0*y**2 - y**2.\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = -h**3 - 17*h**2 - 6*h + 26. Let g be s(-17). Suppose 119*j - 18 = g*j. Which is the fourth biggest value?  (a) j  (b) -1\/3  (c) -4  (d) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -97\/21304 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put together 11942529 and 11.\nAnswer: 11942540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(162) - (5 + (1 + sqrt(162) - sqrt(162)))) + sqrt(162) + sqrt(162) + sqrt(162) + sqrt(162)*1*-1 - (2 + sqrt(162)*1 - (sqrt(162)*1 + 0)))**2.\nAnswer: -432*sqrt(2) + 1522","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(3500))\/(3*sqrt(45)).\nAnswer: -10*sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h + 2*y = -4*h - 4, 5*y + 19 = -h. What are the prime factors of h\/21 + 486\/14?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3433, 10, -2 in increasing order.\nAnswer: -2, 10, 3433","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = -4*t**2 - 27*t + 11. Let r be i(-7). Are r and -2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 28 divide 37672397?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) be the first derivative of 9*j**2\/2 + 224*j + 156. What is the tens digit of v(33)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 35 and 395.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nlbl when four letters picked without replacement from llpnlllnb.\nAnswer: 5\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -221332512 + -5?\nAnswer: -221332520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 32696624179 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 2500.5 + -2500. Which is the fourth smallest value?  (a) u  (b) 2\/3  (c) -3\/7  (d) 3  (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 20*t + 13*t**2 - 20*t + 6*t**2 - t**2 + 2*t**2 + (-3 + 3 - t)*(3*t - 2*t - 3*t) - t**2 - t**2 + t**2 in the form k*t**2 + r*t + v and give k.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -818 + 1102. Let h = f + -171. Calculate the highest common divisor of h and 452.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6, 10\/7, 9, -2\/5, -27\/4 in descending order.\nAnswer: 9, 6, 10\/7, -2\/5, -27\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 6 + -1. Let w be m\/((-2)\/(-4 - -2)). Let n(i) be the second derivative of -i**3\/6 + 11*i**2\/2 - 2*i. Calculate n(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -20*h = -41*h + 21 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((t*t**(-4\/3)*t)\/t*t)\/(t**(-7)*t))\/(((t\/(t*t**(2\/7)\/t))\/t)\/(t\/(t*t**(-8)))) assuming t is positive.\nAnswer: t**(314\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1979644?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = 21060*i + 19. Give x(0).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = i**3 - 10*i**2 + 9*i + 5. Does 19 divide s(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 685142 is divided by 10380?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 4\/(-18) + 182\/9. Let d = g - -6. Suppose 0 = 4*f - 3*s + s - d, -5*f + 31 = -2*s. Solve f*n + 5 = 30 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -2*t*y**3 - t*y**2 - 2*t*y*z + 5*t - y**3*z + 17*y*z wrt z.\nAnswer: -2*t*y - y**3 + 17*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: (2 - 15) + -1 + 16 + -505 + 420\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = 33*u - 2. Let c(l) = 16*l - 1. Let i(y) = -5*c(y) + 2*p(y). Let j be i(1). Let s = -10 - j. Solve -2*t = -3*o + 4 + 4, 6 = s*t for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -2.166967 to three decimal places.\nAnswer: -2.167","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence afdz when four letters picked without replacement from {z: 1, a: 1, p: 4, d: 2, f: 2}.\nAnswer: 1\/1260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*h - 4*h + 2*h + h - 2 + 2 + (2 - 1 + 0)*(-2*h - h + 4*h) - h + 6*h - 3*h - h + 0*h + 3*h + h + 2*h - h)*(0 - 2 + 0).\nAnswer: -12*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 6578214 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -3498834 divided by -1166278\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round 7.1377 to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) be the first derivative of -i**4\/3 - 104*i**3\/9 - 272*i**2\/3 + 512*i - 5009. What is h in q(h) = 0?\nAnswer: -16, -12, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 83100 to the nearest 1000.\nAnswer: 83000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 11, 110, 99 in descending order.\nAnswer: 110, 99, 11, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -83\/235695 and 53\/4431066?\nAnswer: 22155330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 3\/50 of a litre?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = h**3 - 5*h**2 + 2*h - 30. Calculate the common denominator of (-3)\/(-2)*52\/(-3) and g(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 516 and 113716209.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*c**3 + 27*c**2 + 1 - 27*c**2)*(-5*c**2 + 0*c + 0*c).\nAnswer: -15*c**5 - 5*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 958729 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 930660930?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*r - 3*y = -8*r + 8, 11*y = -121 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -274289 + -43420077?\nAnswer: -43694366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l - 2*q = 2*q + 10, 5*l + 14 = q. Let h(u) = 6*u + 206. Let a be h(-33). Is l > a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2787767 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Determine h, given that 3*h**5 + 33*h**4\/2 + 18*h**3 - 51*h**2\/2 - 30*h + 18 = 0.\nAnswer: -3, -2, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -34792, -69591, -104388, -139183?\n\"Answer: g**2 - 34802*g + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 2872564940?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is -14388 less than -129494\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 34\/30 - (-2)\/(-6). Suppose -d = -3*s - 1, 15 = 2*d + 2*d - s. Suppose p - d = 2*p, 4*n - 4 = -p. Which is greater: o or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -25713 divided by -1\nAnswer: 25713","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 158*q = -4*g + 152*q, 50 = -5*g + 5*q for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (36\/2)\/((-16)\/(-24)) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = a**2 - a + 2. Let o(d) = 3*d**2 - 13*d + 1. Let l(z) = -o(z) + 4*w(z). Let s(f) = f**2 + 5*f + 4. Determine -3*l(j) + 5*s(j).\nAnswer: 2*j**2 - 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert 65549.69km to nanometers.\nAnswer: 65549690000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 616 is divided by (4 + 2464\/66)\/(1 - (-4)\/(-6))?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 20 - 22. Let z = u - -1. Sort -2, z, 2 in ascending order.\nAnswer: -2, z, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 20 - 12. Suppose -5*w + 28 = 3. Suppose -65 - 10 = -w*o. What is the remainder when o is divided by t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 71\/31480 and 41\/10704.\nAnswer: 42120240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -232276*z + 232363*z = -3219 for z.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -568 + 0?\nAnswer: -568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 174398\/29785849 + -50\/7313. Let b = 534067\/513198 + u. Calculate the common denominator of b and -14\/45.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rfk when three letters picked without replacement from {n: 1, g: 1, k: 1, r: 1, f: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1080394.\nAnswer: 2, 7, 77171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = 2*s**2. Suppose -847 = 76*v + 74*v - 157*v. Suppose -2*w = m - 97, 0 = -3*m - 2*m + w + 463. Let l(t) = m + v*t - 93. Give y(l(n)).\nAnswer: 29282*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:47 PM and 5:09 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express f - 26*f**3 - 99 - 90 + 189 + 6*f as a*f + p*f**2 + l*f**3 + w and give a.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z**2 + 34*z + 16 = 0. What is z?\nAnswer: -8, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 3660 - 3658. Solve 4*w = 22 - r for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 16264?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 65055?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from fffubusufsbusfsub. Give prob of picking 1 b, 1 u, and 1 f.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -19\/54002 and 23\/4154.\nAnswer: 54002","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -5, -4653.291 in ascending order.\nAnswer: -4653.291, -5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round -48.4155 to the nearest integer.\nAnswer: -48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = 224*d**3 + 2*d**2 + 2*d. Let a be k(-1). Let m = -192 - a. Is 32 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = -3529*j. Let o(w) = -3*w. Give o(k(y)).\nAnswer: 10587*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand 5*t**2 - 19 + 19 + (-2*t**2 + 0 + 0)*(-3 + 4 - 3) - 3*t**2 + 1 + 7*t - 7*t.\nAnswer: 6*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = -6*j + 6. Let n(k) = -k + 1. Let y(u) = 5*n(u) - t(u). Let p = -19 + 16. Let w(m) = 5*m - 2. Give p*y(i) + w(i).\nAnswer: 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 560920 rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 94380480.\nAnswer: 2, 3, 5, 32771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b = -0*b - 3*t - 292, -2*b + 4*t + 128 = 0. What is the least common multiple of 14 and b?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21*q + 19*q + 8 = 0. Suppose -3*y + 2 = -3*i + 5*i, 0 = 5*y + 2*i - 2. Solve -5*k = -2*v - y*v + 21, 3 = 5*v + q*k for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 t and 2 v when three letters picked without replacement from {p: 2, t: 2, b: 3, m: 1, v: 2, y: 4}.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find q such that -2\/3*q**2 + 2\/3 + 0*q = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 255034 is divided by 1574?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in 10\/7, 5, 0.2, 2\/109?\nAnswer: 2\/109","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(sqrt(128) + -2*(-2 + sqrt(128))**2).\nAnswer: -360*sqrt(2) + 1320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b = 8, -62 = -2*t + 2*b - b. Let x(c) = 14*c + 18. Calculate the remainder when x(8) is divided by t.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 69 a factor of 81936?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 6 + -6.4. Let h = g + 3.4. What is the closest to 2 in -0.1, h, -3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -6.57961 + 9119\nAnswer: 9112.42039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-2 + -1 + 4\/(-8))*-2. Let o be 341\/31 - (0 - -6). Suppose -o*z + 2*l = -6*z + 15, 3*z = 3*l. Solve -3*v + 3*j + n = 37, -v = -z*j + 30 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = -p**3 + 63*p**2 - 3553*p + 231475. Calculate g(64).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -53*o - 90*o - 327 = -1717 - 10050 for o.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 17870630 rounded to the nearest 1000000?\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 75 divide 2400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -3 - 156*v**3 + 17 + 11*v**4 - v - 3*v**2 + 156*v**3 wrt v?\nAnswer: 132*v**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 13 + -11. Solve m*d - 3*t - 4 = t, 2*t - 2 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1 + sqrt(242)*3 + 1 + (2 + sqrt(242) + sqrt(242))*-3*4)*2)**2 + -4.\nAnswer: 40656*sqrt(2) + 428820","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -32 = 3*i - 4*l, 2*l = -5*i - 2709 + 2751. Determine c, given that 0 - 10*c**2 - 6*c - 1\/2*c**i - 9\/2*c**3 = 0.\nAnswer: -6, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -230 = -5*b + i, 5*b + i - 82 = 138. What is the smallest common multiple of 144 and b?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 36 and 44046?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.05 - 0.03. Let v = b - 1.02. Let s = 726 - 791. Is v > s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 1  (b) 0.1  (c) -209\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -3051 - -2201?\nAnswer: -450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put 14\/11, -0.3, 1\/6, 0.4 in decreasing order.\nAnswer: 14\/11, 0.4, 1\/6, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 117 and 1752.\nAnswer: 68328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 56120015 and 31?\nAnswer: 1739720465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 528 minutes after 3:48 PM?\nAnswer: 12:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Work out -51249.312 - -50242.\nAnswer: -1007.312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 19*b**2 + 22177374*b*g**2 - 193505*g**2 + 113*g wrt b.\nAnswer: 38*b + 22177374*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = 82*d + 15. Let f(w) = -328*w - 55. Let p(r) = 6*f(r) + 22*l(r). Let z(y) = 6*y**2. Determine z(p(s)).\nAnswer: 161376*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 217*w - 6760 = 48*w for w.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 256 is divided by 49?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 7259208 to the nearest integer?\nAnswer: 2694","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = -9*t**2 + 36*t + 9. Let r(k) = 5*k**2 - 18*k - 4. Give -9*r(w) - 4*u(w).\nAnswer: -9*w**2 + 18*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -113 or -112?\nAnswer: -112","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*w**2\/13 + 18*w\/13 - 180\/13 = 0. Calculate w.\nAnswer: -15, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14 + 20\/3*q + 2\/3*q**2 = 0.\nAnswer: -7, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (2 + -1)*(-22 + 1). Let b = 1041 - 1036. Let d be (98\/g + b)\/((-1)\/(-6)). Solve 3*w + d - 17 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 25*c - 1 = 26*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -21 + 23 + (-2*1)\/((-26)\/(-91))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify l*l\/(l*l**17)*l*l**(-1\/5) assuming l is positive.\nAnswer: l**(-76\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 295 minutes before 4:17 AM?\nAnswer: 11:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 20 or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 21419239 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*(0 + sqrt(700)*-2 + -1 - 4*(0 + sqrt(700) + -3)))**2.\nAnswer: -21120*sqrt(7) + 405136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 116 + -117.16. Let v = 1.26 + h. Is v at most as big as -81?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = -5*a**2 + 11*a - 11. Let n(l) = -3*l**2 + 6*l - 6. Let m(p) = -p**2 + 7*p + 1. Let g be m(5). Give g*n(z) - 6*y(z).\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.57, -1, -2, 4, 18 in descending order.\nAnswer: 18, 4, 0.57, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (57\/342)\/(1\/6)*-30.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-45657)\/(-1008) - (-2)\/8. Let t = 300\/7 - n. Find the common denominator of t and 39\/5.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n = n - 80. Suppose -4*k + n = -0*k. List the prime factors of k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1716 - 713. Calculate the greatest common factor of 944 and i.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 7, 4, -2, -5 in descending order.\nAnswer: 7, 4, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 8408\/5 - 1682. Which is the smallest value?  (a) 1\/12  (b) h  (c) 59\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = 34*d**2 + 2*d - 1. Let v = 12 - 11. Is y(v) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = 5122*q. Let n(h) = 652*h + 2. Give n(w(f)).\nAnswer: 3339544*f + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -863325 divided by -172665?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -559*m**2 - 274 wrt m?\nAnswer: -1118*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = -9*f - 155. Give q(-4).\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 14643475 and 505.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = -4*u - 7. Let c(m) = 1. Suppose 17 - 4 = -13*z. Calculate z*x(r) - 6*c(r).\nAnswer: 4*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4 - 4 + 9*h + 7.\nAnswer: 9*h - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 122 divide 17080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -7231, -7102, -6967, -6826, -6679, -6526, -6367?\n\"Answer: 3*c**2 + 120*c - 7354","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (-3)\/(1 + 870\/(-852)) - 1 is divided by 19?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 15*s + 95116*s**2 - 95123*s**2 - 15*s.\nAnswer: -7*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -5.12 - -0.12. Let t = -38 + 31.4. Let o = -0.6 - t. What is the second biggest value in o, c, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 9805.803 decades?\nAnswer: 98.05803","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -0.08, -3, -0.1, -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = 2*f**2 - 32*f - 155. What is u(-6)?\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 6059, 5998, 5937, 5876, 5815?\n\"Answer: -61*j + 6120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*a + 4 - 4)*(3*a**3 - 4*a**3 - a**3) + 2*a**4 + a**4 - a**4 + 23*a**4 - 3*a**4 + a**4.\nAnswer: 27*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*h + 2*m + 21884 - 21944, 50*h - 3*m = 1288 for h.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) be the first derivative of -5\/2*k**2 + 0*k**3 - 6 + 6*k**4 + 0*k. What is the second derivative of j(u) wrt u?\nAnswer: 144*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = -u**2 - 7*u - 6. Suppose -5 = 2*m + 5. Let g be l(m). Solve -2*v + 3*w - 19 = 3*v, -g*v = w + 22 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 38.3099 days in milliseconds?\nAnswer: 3309975360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-28)\/(-10) - (-8)\/40. Suppose 2*l = 10 - 10. Suppose l = -n*m + 35 + 52. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 101 minutes before 11:59 AM?\nAnswer: 10:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 2176532251?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -l**3 + 7*l**2 - 3*l**2 + 2 - 5*l**2 to the form o*l**3 + g*l + t*l**2 + f and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand 78*n**4 - 200*n**4 - 200*n**4 + (0 + 0 - 2*n**3)*(2*n + 2 - 2).\nAnswer: -326*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = 3*c**3 - 12*c**2 + 9*c - 5. Let s(l) = 5*l**3 + 0*l**2 - 6*l**3 - l**2 - 1 + 2*l**3. Let i(n) = d(n) - 4*s(n). What is i(-9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -67 - -74. Suppose -m - 3 + n = 0. Sort 7, 1, 2, m in decreasing order.\nAnswer: 7, m, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*n - 52*n - 53*n)*(-2*n + n + 0*n)*(-5*n + 3*n - 3*n)*(1 - 2 + 0).\nAnswer: 495*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g - 375 = -5*v + 129, 5*v = 0. Let q = 79\/27 - 2849\/540. What is the common denominator of q and (-1732)\/g + 2\/7?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + 3*((1 + -1 + -2*(sqrt(1008) + -1*sqrt(1008)*-1))*2*-5)**2.\nAnswer: 4838397","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*((sqrt(405) + -1)**2 - sqrt(405) - sqrt(405)).\nAnswer: -144*sqrt(5) + 1624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -128 - 35a?\nAnswer: -487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 355031 at most as big as 355029?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -12994619*c**4 + 20*c**3 - 154287039 with respect to c.\nAnswer: -51978476*c**3 + 60*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = 4*h + 5. Suppose -2*y - 2 = -14. Let w(v) = -v - 1. Calculate y*w(s) + d(s).\nAnswer: -2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 24135256 to the nearest integer?\nAnswer: 289","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*j**2 - 6380 + 3087 + 3293.\nAnswer: -6*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*s**2 - 435*s + 432.\nAnswer: 3*(s - 144)*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 1.42, -5, -1\/10, 9\/10 in decreasing order.\nAnswer: 1.42, 9\/10, -1\/10, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*c - 3*c + 5*c)*(-2*c**4 + 4*c**2 - 4*c**2) + 0*c**2 + 0*c**2 + 2*c**5 + 13606*c**5 + 16568*c**5 - 40421*c**5.\nAnswer: -10249*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -14.6581 - -1.6491. Let o = -19 + 32. Let d = u + o. What is d rounded to two dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 67052.57 minutes to seconds.\nAnswer: 4023154.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2716*g - 2636*g = -800 for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from davjjbjj. Give prob of picking 1 j and 1 d.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 4 and 274788?\nAnswer: 274788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-14)\/(-77) - 75\/(-11). Let f be t - ((-10)\/(-5) + -1). Solve f*l - 3*l - 3 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1002 divided by -3686.\nAnswer: 501\/1843","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 56734950 rounded to the nearest one million?\nAnswer: 57000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -624, -622, -610, -582, -532, -454, -342?\n\"Answer: k**3 - k**2 - 2*k - 622","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n = -i + 16, 4*n = -n - 3*i + 39. Is ((-6)\/n)\/(4\/(-774)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 44388?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w + 20 + 20 = 0. Solve -2*d + w = q + 3*q, 4*q + 4*d - 24 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -11, 1, 787, 3, 5 in ascending order.\nAnswer: -11, 1, 3, 5, 787","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 180 is divided by 63?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((y\/(y*y*y**(-2\/11)))\/(y*y*y**(-2\/5)*y))**(-45))**(-48) assuming y is positive.\nAnswer: y**(-81216\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -148293.39 rounded to the nearest 1000?\nAnswer: -148000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -18504963*a**5 + 2*a**2 + 13397697*a wrt a.\nAnswer: -1110297780*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 1946.44*-0.3\nAnswer: -583.932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is (11 + 248\/(-16))\/(3\/4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z = 2*h + 2, 9*h + 10 = 2*z + 8*h. Suppose 5*b = 0, 634 = -2*j - z*b + 4108. What is the hundreds digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) be the second derivative of g**5\/20 - g**4\/2 - 5*g**3\/6 + 9*g**2\/2 + 3*g. Let d be (4\/(-8))\/(2\/(-28)). What is the tens digit of w(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 152178?\nAnswer: 2, 3, 13, 1951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 11326597.\nAnswer: 11326597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 19095725 to the nearest integer?\nAnswer: 267","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in 37\/5 of a microsecond?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 6930943577 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 4 + 2 + -5 + -1 + 6. What is the third derivative of 31*f - 10*f**2 - 217*f**6 + 68*f**p + 32*f - 96*f + 31*f wrt f?\nAnswer: -17880*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 7, g: 7}. Give prob of picking 2 k.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 217 minutes after 1:23 PM?\nAnswer: 5:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -4.78 + 2.78. Which is the second biggest value?  (a) 1\/7  (b) -5  (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 8991261 or 8991262?\nAnswer: 8991262","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = -z**2. Let j(t) = 3049*t**2 - 6111*t**2 - 2 + 3042*t**2. What is x(j(h))?\nAnswer: -400*h**4 - 80*h**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = -4*n**2 - 5. Let v be 1 - 3\/(3\/7). Let k = v - -14. Let o be k\/(-2) - (1 + 0). Let j(y) = -6*y**2 - 7. Give o*j(i) + 7*w(i).\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -1 + 37551?\nAnswer: 37550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.489815 rounded to one dp?\nAnswer: 2.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 4022 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 142 and 13536.\nAnswer: 961056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from feffuufeee. Give prob of picking 1 u, 1 e, and 1 f.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 191243165 to the nearest integer?\nAnswer: 13829","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2012*s - s**2 - 2014*s + 2*s**2 + 19)*(0 - 3 + 0)*(-2*s - 2*s + 5*s).\nAnswer: -3*s**3 + 6*s**2 - 57*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = 40006*y**2 - 1. Let x(f) = 40005*f**2 - 1. Let t(k) = 4*m(k) - 5*x(k). Suppose 16 = d + 15. Let q be t(d). Round q to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: (15 - (29 + (-14 + 14 - 13))) + (0 - 39)\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 28 + 25. Let n = 53.00000067 - h. Round n to seven dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 155436?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*y + 8*y + 24. Suppose -3*m - 50 = -c, 0*m + 5*m + 5*c + 50 = 0. Let i be (y\/(-6))\/((-5)\/m). Calculate the greatest common factor of 2 and i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 424 + -270. Let f = 39 + -25. What is the highest common divisor of c and f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -65*d**2 - 66*d**2 + 34*d - 60*d + 26*d + 127*d**2.\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -9a (base 13) in base 8?\nAnswer: -177","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = -2*j + 4. Let s(r) = 3*r - 8. Let n(k) = 9*k - 23. Let o(l) = -3*n(l) + 8*s(l). Give 6*f(p) - 5*o(p).\nAnswer: 3*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-18)\/15)\/(868\/(-310)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 6365 + 6069. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (7 + 1 - 2) + -24 + (7 - 0)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Add together 785.30292265 and -0.1.\nAnswer: 785.20292265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g - b + 2*b + 32 = 0, -23 = -2*g - 3*b. Let r = -109 - -165. What is the greatest common factor of r and g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1 + 13. Suppose 5 = c - 0. Solve c*b + s = b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = -362*z - 5056. Let v(g) = 137*g + 1686. Let r(j) = -16*v(j) - 5*w(j). Find the first derivative of r(d) wrt d.\nAnswer: -382","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/10?  (a) -5  (b) -0.3  (c) -12\/13  (d) -48\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) be the second derivative of 5*i**3\/6 + i**2\/2 + 5*i. Let f be 0 + (2 - (2 - 1)). Give u(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = -51*k**3 - k**2 + k + 1. Suppose 0 = 2*w + 2*s + 8, w - 16 = 2*w + 5*s. Is 10 a factor of f(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -79621, -159255, -238889?\nAnswer: -318523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 189581398?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 57*s**4 + 3*s**3 - 133*s**2 wrt s.\nAnswer: 1368*s + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = -m**3 + 10*m**2 - 20*m - 22. Let r be g(6). Let x be r\/(-3)*-6*6\/24. Solve 4*s - p = -21, -4*s = -3*s + 4*p + x for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 70.47172 millilitres to litres.\nAnswer: 0.07047172","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1201 and 2235061.\nAnswer: 1201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) be the third derivative of z**4\/6 - 17*z**3\/6 - 16*z**2. Let a be m(7). Suppose a*k - 762 = 5*k. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 1309 divide 57664068?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 34806989 to the power of 1\/6, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-62)\/(-217) + 145\/(-140)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -11 + -1110?\nAnswer: -1121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 52323\/15836 - (470\/1850 + (-2 - 9\/(-5)))?\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7908343 to the power of 1\/3, to the nearest integer?\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (19 + -3 - (-61 - -68)) + 18.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 36*g - 58*g + 9*g + 2675.\nAnswer: -13*g + 2675","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = 2*a**2 + 17054*a - 153494. What is v(9)?\nAnswer: 154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round -2511908.96 to the nearest one thousand.\nAnswer: -2512000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence on when two letters picked without replacement from {o: 7, g: 8, n: 5}.\nAnswer: 7\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 23 smaller than 16.57962?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((k\/(k**(2\/3)\/k))\/k)**(39\/5)\/(k\/k**1)**(-12))**42 assuming k is positive.\nAnswer: k**(546\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.6295978nm to kilometers.\nAnswer: 0.0000000000006295978","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -104016149, -104016150, -104016151, -104016152, -104016153?\n\"Answer: -t - 104016148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -6638\/8781 > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 40 and 2710?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 - 30 = -3*w. Let u = 8 + -5. Let o = w - u. Which is the third smallest value?  (a) o  (b) -0.4  (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -8 - -6. Let j = 147 - 887\/6. Is j less than or equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = 3*z - 1. Let m = 9.1 - 11. Let g = m - 0.1. Which is the second smallest value?  (a) 0.3  (b) z  (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve k - 4*k + 47 = -y, 299 = -153*k + 172*k - 5*y for k.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = r**3 - 15*r**2 - 18*r + 32. Let y be j(16). Solve w = -4, -2*k + 3*w = -y*k - 20 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 1971862*o**4 - 1971862*o**4 - 7132*o**6 - 7517*o**2 wrt o?\nAnswer: -855840*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -1 - -139068557?\nAnswer: 139068556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*s**2 - 250*s + 231*s - 7*s**2 + s**2 + 19*s.\nAnswer: -10*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 272273051?\nAnswer: 181, 1504271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -272298 or -272285?\nAnswer: -272285","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*p - 2*p - 2*l + 80 = 0, 174 = 4*p - 3*l. Suppose 5*v = 2*w + 38, 2*v - 4*v + 3*w + 24 = 0. Let z = p + v. Is z a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -3 - -8. Suppose -60 = -3*r - 45. Suppose 11*q = 16*q + 20, -r*v = -q + 16. Sort -1, v, t.\nAnswer: v, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 273 a factor of 2309307?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -e (base 16) in base 15?\nAnswer: -e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*n**5 - 3*n**3 + 3*n**3 + (-143 + 8*n**4 + 143)*(-3*n - n + 3*n + (-2 - 5 + 4)*(-2*n + n + 3*n) + (-1 + 0 - 1)*(5 - 3*n - 5)*(5 + 14 - 9)).\nAnswer: 426*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -8*g**3*m + 6*g**3*p - 191726*g**2 - 56006*m*p wrt p?\nAnswer: 6*g**3 - 56006*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 41011265 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*a - 86 + 66 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*i**2 + i - i)*(-6*i + 11 - 11 + 1 - 4*i - 1 + i - i + 2*i + 2 + 2*i - 2 + (-2 + 4 + 0)*(3 + 2*i - 3) + 3*i + i - 5*i + 0*i + 2*i - i).\nAnswer: -4*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is sixteen sevenths of a week in days?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 68867 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*y**4 + 9*y**4 + 14*y**3 + 37*y**3)*(-1 - y + 1)*(3 - 2 - 3)*(2 + 0 - 3).\nAnswer: -8*y**5 - 102*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*n + h - 10169, n - 17*h - 3393 = -19*h. Solve n = 7*y + 3368 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -3.9 or -19?\nAnswer: -3.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:09 AM and 11:32 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3 = w, -3*h + w - 9 = -w for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve v + 3*k - 5 = 0, -5*k - 20 = -3*v - v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = -2*o + 5. Let h(y) be the first derivative of -5*y**2\/2 + 14*y + 6. Give -3*h(b) + 8*n(b).\nAnswer: -b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = -45*b + 11. Is y(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -243 + 243.000000607. Round f to seven decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 12\/(-18)*1*(-5)\/10\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from uxuququuqunquq. Give prob of sequence qun.\nAnswer: 5\/312","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Determine a so that -5*a**5 + 30*a**4 - 40*a**3 - 10*a**2 + 45*a - 20 = 0.\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 211, 201, 199, 205, 219, 241, 271?\nAnswer: 309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = b**2 + 6*b - 1. Let h be t(-7). Let y = h + 3. Is y a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*g**2 + g - g + 2*g**2 - g + g + 0*g + 0*g - g**2 + (1 - 1 + 2*g)*(-3 + g + 3) + 112 - 112 - 21*g**2 + 1 - 1 - g**2 + (g - 2*g - g)*(2*g + g - 7*g).\nAnswer: -14*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (30\/225)\/(3\/45).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = -47*y - 238. Give z(-6).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1476, -1468, -1460, -1452?\nAnswer: -1444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = m, -u - 1 = -m - 0. Suppose -1913 = 2*a - 3*n + 328, u*a + 2247 = n. What is the common denominator of a\/(-986) + (-8)\/(-68) and -73\/2?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1538 is divided by 57.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 o and 1 c when two letters picked without replacement from {o: 9, c: 5}.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -666324 - -1060904. Round p to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = k + 6. Let x be n(-4). Suppose -l + 5999 = -5*w, x*l = 7*l + 5. What is w rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1247a0 (base 11) to base 14\nAnswer: -5191c","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"}
{"text":"Question: Is 2258 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in five quarters of a second?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 235 a factor of 544889?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Determine x, given that -55*x**3 - 22065*x**2\/2 + 9095*x\/2 + 5025 = 0.\nAnswer: -201, -1\/2, 10\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vvi when three letters picked without replacement from djdivjvivjj.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4\/(-8)*0\/2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*z + 20*z + 25 = 0, -3*r + 2*z + 976 = 0. Calculate the least common multiple of 84 and r.\nAnswer: 1932","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from uuuaauau. Give prob of sequence au.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v\/v**(-3)*v\/((v\/v**3)\/v))\/((v*v**(2\/9))\/v**4) assuming v is positive.\nAnswer: v**(97\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.5, 5\/3, 2\/5, -2, 464?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 5155535479 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 73999 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((t*t*t\/t**(1\/3)*t)\/t)**(-22))**(-21) assuming t is positive.\nAnswer: t**1232","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 7845 divided by -11\nAnswer: -7845\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Product of 302.8238 and 4.\nAnswer: 1211.2952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 528299, 528429, 528787, 529487, 530643?\nAnswer: 532369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 15052374 to the nearest integer?\nAnswer: 247","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1452, -2909, -4368, -5829, -7292?\nAnswer: -8757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -30 + 5 = 25*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round -728682.726 to the nearest 100.\nAnswer: -728700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 465027 divided by 43?\nAnswer: 465027\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express -2 - 395*o - 108*o + 2 + 0 as l*o + s and give l.\nAnswer: -503","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2\/(((-38)\/(-10))\/((-10)\/(-50))).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -149 - -157. What is the common denominator of (-18 - (j + -6))*(-3)\/52 and 91\/10?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -d**2 + d**2 + d**2 + (-30*d + 15*d + 18*d)*(d - 2*d + 0*d) - d - d**2 + d.\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -584 + 583. Is -1 + p - ((-9779 - 9) + -5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20429 = 8*z + 4740 - 4639. What are the prime factors of z?\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 544, 2502, 5936, 10852, 17256, 25154?\nAnswer: 34552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 182 and 52.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -4729*f**5 + 9226*f**2 - 503*f**5 - 1488*f**5 - 2542*f**5 + 1536*f**5 wrt f?\nAnswer: -463560*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 548*i - 693279 - 693298 + 1386577.\nAnswer: 548*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 7*g**4 + 847788*g**3 + 26082549*g**2 wrt g?\nAnswer: 168*g + 5086728","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.91 - -0.53. Let d = -1.4341 + t. Round d to three dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 e, 1 p, and 1 j when four letters picked without replacement from jekjkpepjgeccp.\nAnswer: 27\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -5\/2  (b) -2\/9  (c) 165\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -7822\/63 - -866\/7. Which is the closest to -0.2?  (a) -1\/2  (b) 3  (c) f  (d) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f\/f**(-2))**(-1\/11)*((f\/((f**(-9\/4)*f)\/f*f))\/f*f)\/(f\/(f\/(f\/f**8))) assuming f is positive.\nAnswer: f**(395\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:47 PM and 10:12 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7609*y = 7382*y + 5902 for y.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*m + 9 + 3, -i = 4*m + 11. Suppose 2 = -3*f + 17. Suppose -f*l = -2 - 3. Calculate the remainder when i is divided by l.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-8*f**3 + f**3 + 3*f**3)*(1 - 3 + 1)*(0*f + f - 2*f + 2*f - 4*f + 0*f + (3 - 3 - 1)*(-1 - f + 1) + 0 + 0 - 2*f + 5*f - 2*f + 0*f).\nAnswer: -4*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f*f**(3\/5))\/f**8)\/(f**(3\/7))**(-1\/24) assuming f is positive.\nAnswer: f**(-1787\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 43101299 divided by -3343.\nAnswer: -12893","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3?  (a) 4  (b) -1\/5  (c) 2\/69  (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*k - 46 = g + 11*k - 25, 3*g - k + 3 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-6)\/8*-4 - 4. Let r(x) = -18*x**3 - 2*x**2 + 1. Give r(n).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 682\/3 + -236. Are h and 0.6 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (0 - 6\/21)*375\/(-150). Put -2\/3, 2, v, -0.1 in increasing order.\nAnswer: -2\/3, -0.1, v, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -31.0115943 - -31.0426. Let d = 1172.031 + -1172. Let j = v - d. Round j to six decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 552392 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 308 - 138. Let c be ((-8)\/(-10))\/(4\/x). Let z = -8132 + 8137. Solve -5*d - c = 3*q, -16 = 2*d - 3*q + z*q for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14311644 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 3887 and 207?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -18 times -0.835?\nAnswer: 15.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4981*y = -4984*y - 8*n + 32, 5*y = 4*n - 16 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v - 793 = -g, 2*v + 491 = -5*g + 163. Let h be (v\/2)\/((-24)\/336). Suppose 0 = 6*y - 9*y + h. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = a**2 + 11*a + 21. Give t(-7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0 - 0. Let w be b\/((12\/2)\/3). Suppose 0 = 3*x - 5*m - 135, 5*m + w*m = -3*x + 105. What is the greatest common divisor of 8 and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 1\/7  (b) -482\/3049  (c) 0.6  (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 2084755 to the power of 1\/3, to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -106*t**4 + 150*t.\nAnswer: -1272*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {a: 3, i: 3, w: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-72 - 21 + 141)*(-2*g - g + 5*g) - 4*g + 3*g - 2*g to the form v*g + x and give v.\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (26 - 9 + 9 + 2*v)*(-3*v + 3*v - 26*v) to the form z*v + s + i*v**2 and give z.\nAnswer: -676","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -k + 2*p + 81, 24*k + 81 = 25*k - 4*p. Solve -18 = -k*b + 72*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -2 - 0. Let r(i) = -7 - 2*i + 2*i**2 + i - i**2 + 6. Let p(y) = -y**3 + 6*y**2 - 6*y - 5. Give c*p(t) + 10*r(t).\nAnswer: 2*t**3 - 2*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 776?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = 12*c**2 - c**3 + 0 - 6 - 1 - 9*c. Let j be g(11). What are the prime factors of (-5)\/j + (2 - (-13)\/3)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = -f**2 - 7*f + 410. Let r be i(-24). Let h = -6 + 6. Sort h, 4, 3, r.\nAnswer: h, r, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = 3*n**2 - 2*n. Suppose 128 = -23*r - 9*r. Let h(s) = -13*s**2 + 7*s. Calculate r*h(o) - 18*v(o).\nAnswer: -2*o**2 + 8*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.1 + -0.1. Let c = 86 + -169\/2. Put i, c, -1\/3 in ascending order.\nAnswer: -1\/3, i, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(38)\/((sqrt(12) + sqrt(36)\/sqrt(3))\/sqrt(6)) - sqrt(133)\/(sqrt(112) + 3*sqrt(112)).\nAnswer: 7*sqrt(19)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -1\/5  (b) -2\/15  (c) -0.08  (d) 6916040\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 6*h**2 - 93 + 35*h**2 + 109 wrt h.\nAnswer: 82*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 61902, 123802, 185700, 247596, 309490, 371382?\nAnswer: 433272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 29435400 and 32568?\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 12782659 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -113\/162 and -73\/38.\nAnswer: 3078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = 93*y**3 + 4*y**2 - 4*y + 1. Let h = -70 + 102. Calculate the remainder when j(1) is divided by h.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-6)\/2)\/(2\/(-6)). Suppose 5*o - 124 = -14. Let c = o - b. Solve 0 = -4*t - 8, 5*t + 0 = 3*y - c for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -15332683 times 0.5?\nAnswer: -7666341.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 20 and 419235?\nAnswer: 1676940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 163830 is divided by 40895.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"}
{"text":"Question: Expand (8*i + 9*i**2 - 8*i)*(-6 + 3*i**2 + 4 + 0).\nAnswer: 27*i**4 - 18*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:01 PM and 2:32 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (4\/(384\/124))\/((-3)\/2) and 7\/88.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -95 in -2, -1\/4, -4.2, 4?\nAnswer: -4.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k + 34 = 9. Let t = k - -15. Let y = t + 43. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = -7877*b - 39402. Determine k(-5).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 114840\/71456*21\/(-9)\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7 + 7 - 3*h**3)*(-2*h**2 + 0*h + 0*h) + (3 + 0 - 2)*(h**2 - 2*h**5 - h**2).\nAnswer: 4*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is -5939 <= -41576\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -5 - -5. Suppose -183*z - 320 = -103*z. What is the third smallest value in -25, 2\/9, t, z?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 3  (b) 1\/10  (c) 11.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2794636?\nAnswer: 2, 13, 223, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (5\/150*10)\/((-2)\/4)*6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -203 + 203. Let s be (p - -1 - (-4)\/2) + 7. Solve -4*t - t = -5*h - s, -3*t - 4*h + 13 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1011 a factor of 24546069?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 107588 to the power of 1\/4, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + ((sqrt(567) - (-1 + sqrt(567))) + 4 - sqrt(567)).\nAnswer: -9*sqrt(7) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 8, h: 2, m: 2}. What is prob of sequence hh?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 349.9074 decades to months.\nAnswer: 41988.888","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 11912863?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 74 - (27 + -41 + 11).\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) be the second derivative of k**6\/360 - k**5\/24 + 5*k**4\/12 + 23*k + 2. Let y(o) be the third derivative of g(o). Calculate y(-3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.1 - 4.9. Let d = 0 + v. Let z(l) = -7*l**2 + 18*l - 3. Let j be z(2). Which is the nearest to d?  (a) j  (b) 1\/4  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 32, -2, -1, -51, -3.\nAnswer: -51, -3, -2, -1, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 0*((-9)\/6 + 1). Differentiate x + 3 - 3 + 2 + r with respect to x.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 223959216 to the power of 1\/2, to the nearest integer?\nAnswer: 14965","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*g - b + 784, -b + 0*b = 2*g - 316. Suppose 8*c - g = -18*c. Solve -c*x - 2 - 10 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1132?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -258*n**3 - 60*n**2 + n + 91954 wrt n.\nAnswer: -774*n**2 - 120*n + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 531203*w**3 - 177078*w**3 - 177080*w**3 - 177068*w**3.\nAnswer: -23*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence aam when three letters picked without replacement from maaamamaaaaaaaa?\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 5*x**4 - 103*x**3 + 896?\nAnswer: 20*x**3 - 309*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 8533 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n - 2 = -c, -4*n - c - c = -16. Let i be (-80)\/(-6) - 8\/n. Solve 4*s + i = 0, -3*p + 5*s = 2*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = -4*a**3 - 8*a**2 - 8*a + 3. Let q(v) = v**3 + v**2 + v - 1. Let f(m) = i(m) + 3*q(m). Let l be f(-4). Let p = 8 - 6. Solve 2*h - l = -p for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-4)\/6)\/((-74)\/(-2997))*1.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -1, -0.26, -0.5, -2\/15, 406\/17?\nAnswer: -0.26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a = -8 + 28. Let q = a + -4. Suppose -4*n = -2*d + 26, d + 3*n + 12 = -q. Calculate the remainder when 5 is divided by d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 137.6 + 676.4. Let m = s - 813.9. Let v = -0.3 + 0. Sort v, -3\/2, m in descending order.\nAnswer: m, v, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 385253 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -1005*a - 1445*a - 61250 for a.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) be the first derivative of h**4\/4 - 2*h**3\/3 + h**2\/2 + h - 6. Let r be p(3). Let w(s) = -s + 12*s - 9*s + r*s. Let t(l) = -l. What is w(t(v))?\nAnswer: -15*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1.832 + -0.032. Let m = q + -5.8. Let x = 0.7 + -0.2. What is the nearest to -1 in 5, x, m?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = 32*x + 1435. Let h = 323 - 30. What is the remainder when h is divided by w(-43)?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = -2*f**2 - 5*f - 11. What is s(-3)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is z in -16*z**5\/3 + 6664*z**4\/3 - 5531*z**3 + 4557*z**2 - 1242*z = 0?\nAnswer: 0, 3\/4, 1, 414","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 1259171 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 236 minutes before 8:09 PM?\nAnswer: 4:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = a**3 - a. Let l = 0 - 4. Let x = l - -2. Calculate v(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -490.46 times -0.5\nAnswer: 245.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from {t: 9, d: 11}?\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express (28 - 5 - 53)*(30*o + 7*o - 63*o) as v + m*o and give m.\nAnswer: 780","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Determine i, given that 5*i**4\/2 + 20*i**3 - 565*i**2\/2 - 300*i = 0.\nAnswer: -15, -1, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 17 + -28 + -11 + 15?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Determine o, given that 3*o**2\/2 + 151619886*o + 3831431638442166 = 0.\nAnswer: -50539962","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*m + 5*m - 2*m)*(5*m - 5*m - 1 - 3*m**2).\nAnswer: -15*m**3 - 5*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 92e733 (base 16) in base 12?\nAnswer: 328352b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -20 + -6. Let g = -15 - z. What is the smallest common multiple of g and 14\/3*(-180)\/(-105)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in six fifths of a meter?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -5, -8, 2, -2\/3, 1\/48, 0.7?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = 6*l - 15. Let x be m(7). Let b = x + -7. Solve 4*c + 0*c = b for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 26428348 is divided by 11189?\nAnswer: 11119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 145\/7?  (a) 0.039  (b) -20  (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1849.7 + 100.2.\nAnswer: 1949.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 1415 - -25426?\nAnswer: 30144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4*u + 5*u**3 + 169810*u**4 - 169812*u**4 - 5*u + 69 to the form n*u**4 + v*u**3 + c + w*u**2 + h*u and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by -23.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r - 2 = 2. What is the remainder when ((-22)\/(-3))\/(r\/3) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -5 + 7. Suppose b*d + 174 = 5*j - d, 5*j + 3*d - 186 = 0. Is j a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -b819 (base 16) in base 8?\nAnswer: -134031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve p = 4*t, -4647*t + 4649*t - 5*p = 18 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 15997 + -15738. Calculate the least common multiple of l and 1813.\nAnswer: 1813","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 0*-2*4\/(-16). Suppose 3*v + 0*q = -3*q + 30, -2*v - 4*q + 30 = m. Solve v*n = 2*h - 14, 3*n - 2*n = -4*h + 6 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 108591117577 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = x**3 - 64*x**2 + 1014*x - 30. Give m(37).\nAnswer: 525","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (2 - 2) + 38 + 0. Let s = v - 14. Is s a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4628943?\nAnswer: 3, 11, 46757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((v**(-1\/6)*v)\/v**(-1\/7))\/(v**(2\/9)*v**(-4)))**44)**(-8) assuming v is positive.\nAnswer: v**(-105424\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 421918?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 65 + -58. Let w(s) = 2*s**3 - 12*s**2 - 9*s + 6. Let x = -12 - -21. What is the remainder when w(p) is divided by x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -61*-5576.035\nAnswer: 340138.135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is -3798513 equal to -3798511?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = -k**2 - 23*k - 39. Calculate the remainder when 97 is divided by h(-5).\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 7954 + -7919. What is the remainder when 1503 is divided by q?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (12\/(-15))\/((-1)\/5). Let n be -3*(-4)\/v - -1. Suppose k + 3 = n*k. Solve k = -5*a + 11 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t = -t - 18. Let f = 12 + -7. Suppose -f*l + 3*d = -33, 4*l - 4*d = t*l - 26. Calculate the remainder when 10 is divided by l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000078670501 to 7 decimal places.\nAnswer: 0.0000079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -522 divided by -11.\nAnswer: 522\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 296806*l**4 + 188*l**3 + l + 561788563?\nAnswer: 1187224*l**3 + 564*l**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 460.55 - 1207\nAnswer: -746.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: d (base 15) to base 3\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 4983625 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) be the first derivative of v**4\/4 + 2*v**3 + 4*v - 2. Let m be g(-6). What are the prime factors of (-11)\/m*(-9 + 1)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -10 times -154859\nAnswer: 1548590","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 1, -0.2, 3\/19 in descending order.\nAnswer: 4, 1, 3\/19, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 18 a factor of 35541973?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (2 + 1)\/(2 - 1). Let l = -175 + 168. Which is bigger: l or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/2, 1913, -1\/2, 613, 23.\nAnswer: -1\/2, 1\/2, 23, 613, 1913","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -4*q**2*x + 39982012*q**2 + 317896766*q*x wrt q?\nAnswer: -8*x + 79964024","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 7998 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 b = -46 + 81. Let r(l) be the first derivative of l**3\/3 - l**2\/2 + 5*l - 5. Let x be r(0). Calculate the highest common factor of b and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -4.22 and 3277.3338285.\nAnswer: 3273.1138285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o + 107*h - 109*h - 364308 = 0, 4*o - 5*h - 364296 = 0. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:52 AM and 3:04 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -183 - 1113 = -324*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c - 3*c = 2. Let t be c\/(-4)*2\/(-7). Let x be (-3)\/(-2)*((-40)\/6 - -4). What is the biggest value in t, -2\/3, x?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 3*m**3*u**2 - m**3*u - 2*m**3 - 263*m*u - 755*u**4 wrt u?\nAnswer: 6*m**3 - 9060*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = 5*z, 3*g + 0*z + 2*z = 5. Let u be 6*2*g\/(-4). Let k = 0.2 - 0.1. What is the second smallest value in u, 2, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(((-3*sqrt(77)*1 - sqrt(77))\/sqrt(7))**2 - (sqrt(297)\/sqrt(3) + -4)**2).\nAnswer: -48*sqrt(11) - 122","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 16, 13, 3\/4, -2\/13, 0.48232, 4\/7?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = 26*k**2 + 19. Let m(t) be the first derivative of 2*t**3\/3 - 4513. Give l(m(u)).\nAnswer: 104*u**4 + 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 43986 is divided by 32?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express -24*s**3 - s**4 + 24*s**3 + 5*s + (-1 - 2 + 1)*(-2*s**4 + 2 - 2) + s**4 + 2*s**3 - 2*s**3 in the form g*s**3 + u*s**2 + t*s + f + i*s**4 and give t.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gq when two letters picked without replacement from {v: 1, y: 1, g: 1, i: 1, q: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 55*i - 102*i = -55*i. Solve i = 5*q + 5 + 5 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -19\/3 - -20\/3. Which is the biggest value?  (a) 35  (b) 1\/4  (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 - (-1 - (-3 - -8)) - 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -109*s**3 - 92*s**2 wrt s?\nAnswer: -654","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert -6 (base 12) to base 13.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a*a**(-4\/5))**(-1\/58))**(-3\/23) assuming a is positive.\nAnswer: a**(3\/6670)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 45 + 51 + 52 + 74 - 210 + 2*j.\nAnswer: 2*j + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4*((-6)\/5)\/(20\/(-25)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -10*-0.02\nAnswer: 0.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(-7))**46\/(t\/(t*(t**(-1\/10)\/t)\/t))**48 assuming t is positive.\nAnswer: t**(-2114\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 15 + -22 - (-10 + -1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 28 + -13. Let p = -8 + r. Calculate the remainder when p is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = t**3 + 11*t**2 + 8*t + 11. Let i be v(-10). Let o = i + -17. Let h = o + -6. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = -z**3 + z**2 + 5*z - 17. Let q be l(3). Let f be q\/(-55)*99\/18. Solve -f*b + 4 = -6 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9481 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.067999561 rounded to two decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (56\/96)\/(((-2264)\/(-8490))\/(8\/5))?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 21460.75 meters?\nAnswer: 21460750000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 10645.\nAnswer: 5, 2129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -0.2339 times 0.5\nAnswer: -0.11695","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -1, -32, -16, -6 in decreasing order.\nAnswer: -1, -2, -6, -16, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((u**0*u)\/u)\/u)**(-45)*u**(-2\/9)\/u**(-2))\/((u**(-1\/2))**47\/(u**9*u*u*u**(-1\/5))) assuming u is positive.\nAnswer: u**(7297\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -3*b**3*i**3 + b**3*v**3 - 21*b**3 + 3*b**2*i**3*v**2 + 4*b**2*i*v**3 - 5*b*v**2 + 3*v**3 wrt b?\nAnswer: -18*i**3 + 6*v**3 - 126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*k**2 - 4394436*k + 1609255646508.\nAnswer: 3*(k - 732406)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 328 a factor of 14210928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -4\/92375 or -1?\nAnswer: -4\/92375","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3345?\nAnswer: 3, 5, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = 214*z + 647. What is c(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c - 529 = -5*z - 217, -c = 3*z - 108. Let d = c - 81. Solve -4*g = 4*v, -5*v + d = g - 2*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*a = 4*u + 78, -1206*a + 1199*a - u = 31 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*m - 2*m - 2*m)*(-49 + 25 - 103*m + 23).\nAnswer: 206*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 9922 and 2274844.\nAnswer: 902","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 59\/14 and 41\/2422?\nAnswer: 2422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = 3*b + 4*f + 6, b - 12 = 2*f. Suppose v - 2 = -u + 2, -5*v - b*u = -20. Factor 21*o - 2*o**2 - 21*o + 2*o**v.\nAnswer: 2*o**2*(o - 1)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = -1 + 2 + 0 + r. Let b(u) = -7*u - 3. Let a(f) = b(f) + 2*v(f). Let z(m) = -4*m - 1. Calculate 3*a(l) - 4*z(l).\nAnswer: l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 3.2 - 0.2. Let f = 226 + -230. Let h be (3 + f)*(-1)\/(-4 - -3). Which is the nearest to h?  (a) -0.4  (b) 0.4  (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-158*f**2 + 158*f**2 - 7*f**3)*(0 - 6 + 2) - 5*f**3 + f**3 + 2*f**3 to the form m + w*f**2 + c*f**3 + r*f and give c.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 26 + -20. Let f(n) = u*n - 1 + 2*n - 7*n. What is f(-4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -4, -15, -212959?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000092789 rounded to five dps?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -45431400*y**3 - 38342190*y**2 wrt y.\nAnswer: -272588400","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: (2 - 8) + 5 - -11\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 16*t**4 - 126*t**2 + 33245 wrt t.\nAnswer: 64*t**3 - 252*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) be the third derivative of x**6\/960 + x**5\/160 + x**4\/96 + 20*x**2. Factor l(g).\nAnswer: g*(g + 1)*(g + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) be the second derivative of y**5\/20 - y**4\/3 + y**3\/2 - y**2\/2 - 11*y. Give w(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -161\/1274460 and -65\/1614316?\nAnswer: 24214740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 1832, 2308, 3108, 4238, 5704, 7512, 9668, 12178?\n\"Answer: f**3 + 156*f**2 + f + 1674","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -1 + -83?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1919034?\nAnswer: 2, 3, 13, 59, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-32)\/8)\/(4 - 18)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -865\/147 - -25\/147. What is the third smallest value in o, 1\/2, 2\/9?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-10 - 81 - 75)*(-3*h**3 + 3*h**3 - h**4)*(-23*h + 9*h - 5*h)*(-3 - 2 + 4)*(4 + 2 - 5).\nAnswer: 3154*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -3.23 - -2.2. Let z = -0.934 - x. What is z rounded to 2 decimal places?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(3) + sqrt(27)*-6 + 4*(0 + sqrt(3)).\nAnswer: -13*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*g**3 - 6*g**3 + 4*g**3.\nAnswer: 3*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -12.32 - -12. Let p = -0.3200036 - f. What is p rounded to six decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i - 1 + 3 = -5*c, -5*c - 14 = -2*i. Let f be (-6)\/4 - (-54)\/i. Let v(t) = -4*t**2 - 4*t - 3. Let a(s) = -3*s**2 - 3*s - 2. What is f*a(k) - 2*v(k)?\nAnswer: -k**2 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.2 in 0.3, 0.2, 35, -1, 4\/137?\nAnswer: 4\/137","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 0 - ((-14)\/(-378))\/((-2)\/4). Let y = 0.687 - -4.313. Sort -1\/3, y, -2, v in descending order.\nAnswer: y, v, -1\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1433413343 (base 5) to base 14.\nAnswer: -712929","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 71 - 54. Calculate the remainder when 18*15\/45 - (-20 - 0) is divided by n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*i + 149 = -157 + 321 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 5423158271 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 27150\/90 - 2\/(-6)?\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 192 divide 69858?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 202200 (base 3) to base 4\nAnswer: 20232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {u: 13, h: 6}. Give prob of sequence uhu.\nAnswer: 52\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (2 - 3) + 4 - -9. Suppose j*m - 373 = 59. What are the prime factors of (-2 + m\/15)*(-1 + 351)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 35 and 239875.\nAnswer: 1679125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) be the first derivative of -5*c**9\/3024 - c**6\/40 + 2*c**3 - 5. Let o(k) be the third derivative of q(k). Find the third derivative of o(y) wrt y.\nAnswer: -300*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*h - 15, 2*n - 6*n - h + 15 = 0. Suppose 2 = 2*q, n*r + 5*q = 29 - 3. Let u = 0 + -1. Which is the closest to u?  (a) r  (b) 1  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = -n**3 - 17*n**2 - 30*n + 5. Let h be q(-15). Calculate the greatest common divisor of h and 18.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from wzlznxnvzwnznv. What is prob of sequence ww?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-5)\/(-25) + (-60776)\/5. Let l = m + 120999\/10. Let w = 55 + l. Calculate the common denominator of 19\/4 and w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -59*p**4 + 34*p**4 + 30*p**4 + 2*p**4 + 0*p**4 - 5*p**4 + (2*p**2 - 3*p**2 + 2*p**2)*(-4*p**2 - 8*p**2 + 3*p**2).\nAnswer: -7*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 3  (b) -0.5  (c) -0.029807771\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-55)\/3 - 14\/(-42). What is the units digit of (k\/21)\/((-6)\/378)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -26 - 4?\nAnswer: -2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = q**2 - 4*q - 12. What is the hundreds digit of n(-22)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o*((o**(14\/5)\/o)\/o)\/o)\/(o*o*o**(-13)*o) assuming o is positive.\nAnswer: o**(54\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -507.71 + 505. What is w rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 99735962 - 6*t - 99735962.\nAnswer: -6*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -4c (base 15) to base 16\nAnswer: -48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-2 + (-8)\/(-3))*-3. Let i be -1 - (d - 18\/(-2)). Let s = -3 - i. Calculate the remainder when 9 is divided by s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in 28, 0.5, -0.5, 15, 1, 0?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) be the first derivative of 0*n**3 + 0*n**2 + 0*n**4 + 6\/5*n**5 - 53 + 27*n. What is the first derivative of w(g) wrt g?\nAnswer: 24*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4\/10 - 136\/(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1905 times 1?\nAnswer: 0.1905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.03 - -0.18. Let u = b - 0.27. Let d = -0.3 + u. Round d to one decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/40 of a litre in millilitres?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = -17*y - 84. Calculate the smallest common multiple of 7 and p(-10).\nAnswer: 602","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -568*b - 13558 = -167*b + 3685 for b.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -32837*f**3 - 3*f - 1080212?\nAnswer: -98511*f**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is three eighths of a gram in milligrams?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.1 or -911587?\nAnswer: -911587","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4687219.\nAnswer: 139, 33721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = 43*w - 58. Give g(-2).\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 168 and 13839.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = -3*n**2 - 38*n. Let x(h) = 23*h - 57*h + 19*h. What is l(x(d))?\nAnswer: -675*d**2 + 570*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort -379, 14.4, 871, -3\/4 in ascending order.\nAnswer: -379, -3\/4, 14.4, 871","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 1811*i**3 + 2*i**2 + 507*i + 12183370.\nAnswer: 5433*i**2 + 4*i + 507","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1 + 22000022?\nAnswer: 22000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 193\/829374 and -127\/2396982.\nAnswer: 218125362","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 27*d**4 - 76452093*d**3 + 76452075*d**2 - 25484023*d + 2831558 = 0 for d.\nAnswer: 1\/3, 2831558","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*n + 16, 11*c - 4*n - 162 = -35 for c.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 15766362.\nAnswer: 2, 3, 23, 38083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 585*k + 342*k - 31285 + 33587 - 109834 for k.\nAnswer: 116","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*s = 841 + 545. Suppose 0 = 3*c - 3*y - s, 3*y = 5*c - c - 308. What is the tens digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-330)\/(-88))\/(-15)*12\/9?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/2 of a gram in milligrams?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10 = 5*y - 5*s, -6 = 9*y - 10*y - 3*s for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 28571954?\nAnswer: 2, 14285977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/5, -0.098, -4, 3\/8 in increasing order.\nAnswer: -4, -2\/5, -0.098, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round -1564000 to the nearest one hundred thousand.\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2*196530.\nAnswer: 393060","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0 + 1\/5*q**3 - 233\/5*q - 232\/5*q**2.\nAnswer: q*(q - 233)*(q + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -983276*n**4 + 1534711*n**2 wrt n.\nAnswer: -23598624*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = -79*z**2 - z. Let o be g(1). Let n be o\/(-25)*10\/1. Suppose 2*u + 17 = 3*q, -5*u = -2*q - 2*q + n. What are the prime factors of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.3, 0, -0.4, -4\/3, 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round -111.9873 to the nearest 10.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = 2*h**3 + 9*h**2 - 5*h + 4. Let z be s(-5). Suppose d - z*d + 126 = 0. What is the remainder when 60 is divided by (d*5\/40)\/(2\/8)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bbqg when four letters picked without replacement from bqbrqcqrbbbgb.\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.3 in 1, -1\/4, 1934, 2, -0.5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round 3201400 to the nearest ten thousand.\nAnswer: 3200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(sqrt(176) + sqrt(11)) - sqrt(44)*-3)**2 + 1*sqrt(22)\/(sqrt(2) - sqrt(32)*-1).\nAnswer: sqrt(11)\/5 + 1331","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21*y - 21 = -0*y. Suppose 3*h - 12 = 0, 3*g + h = 19 - 3. Calculate the smallest common multiple of y and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve x + 5*d + 7 = 0, -10 = -4*x + 49*d - 50*d for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 j, 2 d, and 1 b when four letters picked without replacement from svdssbgdbgsj?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 328 minutes after 11:38 AM?\nAnswer: 5:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 37 divide 796388?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 18\/5 of a kilometer in meters?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 355 minutes after 12:44 AM?\nAnswer: 6:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7422698?\nAnswer: 2, 23, 161363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.02509212 rounded to three decimal places?\nAnswer: -0.025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 422823.7 weeks?\nAnswer: 255723773760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*g = -2*a - 153 + 157, -3*g = -3*a + 18 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 3961561, 7923123, 11884685, 15846247, 19807809?\nAnswer: 23769371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -4751876, -9503757, -14255638, -19007519, -23759400?\n\"Answer: -4751881*d + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n*n**(2\/21))**(-3\/38)*n**2*(n*n**25*n*n)\/n assuming n is positive.\nAnswer: n**(7691\/266)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from cccbccccp.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*c = -i - 17, 2*c = 6*c - 2*i + 16 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -14281 - -14305. Solve 233*x + h = 237*x for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.1 - -1.1. Suppose 3*o = o - 5*z + 13, -4 = -2*o + 4*z. Which is the nearest to j?  (a) o  (b) 0.1  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -13 + 7. Let z = r + 10. Let t(q) = -3 - 4*q + 0 + 6*q - 2. Calculate t(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -1367, -5471, -12313, -21893?\n\"Answer: -1369*h**2 + 3*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6b3dd6 (base 15) to base 9.\nAnswer: 10573053","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -28 - -30. Suppose -8*q + q = -v*q. Suppose q = 2*c + 68 - 150. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = 13*v**3 - 5*v**2 + 42*v - 5. Let r(d) = -2*d**3 + d**2 + d + 1. Calculate c(k) + 5*r(k).\nAnswer: 3*k**3 + 47*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 1880891097 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify j*j**(6\/13)*j*j*j*j**6*(j\/j**39)**(-3\/5) assuming j is positive.\nAnswer: j**(2162\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 143*r - 125*r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Add -73531 and -103.81576.\nAnswer: -73634.81576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -78 times 6.6\nAnswer: -514.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (3*4)\/(-4 + 5). Suppose -f + 1 = -5*w, w - z = -3*f + 7. Let l(u) = 12*u - 7. Is l(f) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -256042 (base 12) to base 2\nAnswer: -10010101010110110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 87541?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = -26*z. Let k(q) = -267*q**2. Give f(k(j)).\nAnswer: 6942*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -1 - -21443?\nAnswer: 21442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*((sqrt(125)*-2)**2 + sqrt(20) + 4).\nAnswer: 12*sqrt(5) + 3024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 4471 times 8?\nAnswer: 35768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = -4*v. Let a(m) = -m - 2. Let h(s) = -99*s - 132. Let o(g) = 66*a(g) - h(g). Determine o(x(b)).\nAnswer: -132*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1236 divided by 77.\nAnswer: 1236\/77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3 in -3\/2, 0.1, -9, -0.2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -270886*g - 70*g**2 + 270886*g.\nAnswer: -70*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (9\/2 + 0)*-2. Suppose -z = -2*a + 3, 16*a - 15*a - 4 = z. Sort l, -4, a in ascending order.\nAnswer: l, -4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = r**2. Let x(a) = -14*a. Let z(q) = 5*q + 4. Let b(p) = 70*p + 55. Let n(h) = 4*b(h) - 55*z(h). Let d(s) = -17*n(s) - 6*x(s). Determine d(i(t)).\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 834.3184 seconds?\nAnswer: 834318400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -95 - 83. Let u = c - -187. Calculate the remainder when 111 is divided by u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -419979 rounded to the nearest one thousand?\nAnswer: -420000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -13 and -1.5929?\nAnswer: 20.7077","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is -1675 greater than -2579?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -15*l**2*n - 3964*l**2 + 122*l*n + 409874884*n wrt l?\nAnswer: -30*l*n - 7928*l + 122*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -58 = 17*x - 364. Suppose -28*o + x = -10. Which is the closest to 0.1?  (a) o  (b) -1\/7  (c) -0.4  (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 28343 or 28726?\nAnswer: 28343","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20823 + 20185 = 2*x - 2*v, 4*x + 3*v - 82037 = 0. List the prime factors of x.\nAnswer: 20507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 330075881?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p and 2 r when three letters picked without replacement from {p: 8, r: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(42) + sqrt(2058))\/sqrt(6) - sqrt(7) - (sqrt(112) + -2 - sqrt(112)).\nAnswer: 2 + 7*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -63 - -57. Let r(n) = -2 - 12*n + n**2 + 16*n - 3. Give r(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence aaa when three letters picked without replacement from daawawwww.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t = f + 14, -4*t = -2*f + 2 - 22. Let k(q) = 11*q**2 + 2 - 10*q**2 + 0*q**2 + 3*q. Let a be k(f). Solve 4*o - 4 = a, -4*v - 6 = -2*o + 4 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = 16*m. Let a(v) = -13119829*v. What is a(r(w))?\nAnswer: -209917264*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 462 minutes before 12:21 PM?\nAnswer: 4:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 401, 362, 323, 284, 245?\nAnswer: 206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -63.8 - 1556.2. Let w = u - -1625. Let v be (-10)\/(-2)*(-1)\/4. Which is the smallest value?  (a) v  (b) -2  (c) 1\/9  (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = -52*k + 575. Let x be t(11). Sort -1.2, 4, x, -5 in increasing order.\nAnswer: -5, -1.2, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g\/g**(2\/7))**(-17))**(-27)*(((g**(-2\/3)\/g)\/g)**(2\/89))**(2\/7) assuming g is positive.\nAnswer: g**(612733\/1869)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Add together -0.071 and 38616.\nAnswer: 38615.929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 3756.307556 rounded to the nearest 100?\nAnswer: 3800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = -v + 14. Let d be s(0). Let h = d - 10. Suppose -h*k = -4*o + 20, -3 = -o + k + k. Calculate the remainder when 12 is divided by o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9*l**2 + 2*l**2 - 10*l**2 + 2*l**2.\nAnswer: -15*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -56\/627 and -64\/297?\nAnswer: 5643","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*c - 2*i, 5*c + 3*i = -0*i + 8. Let l be c\/(-2) - -2*1. Let r = 2 - l. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -1\/3  (b) -0.4  (c) -0.225  (d) 44\/27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -42.7 + 45. Let q = -0.3 + d. Let z = q - 2.5. Which is the closest to 1\/4?  (a) -4  (b) 5  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 31b1 (base 14) to base 4\nAnswer: 2012013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Add together 1248 and 148878738556.\nAnswer: 148878739804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00050657181 rounded to 7 decimal places?\nAnswer: -0.0005066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = 344*t - 1. Let f be o(-3). Let n = f - -1577. Suppose -n = -h - 3*h. Is h a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: (3\/12*2)\/(2\/2)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-2)\/((-17 - 205\/(-12))\/(3\/8)). What is the second smallest value in -0.2, -1\/2, 0, a?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 36.062 - 36. Let p = -0.062 + n. Let v = -94 + 464\/5. Which is bigger: p or v?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 562.9 + -563. What is the closest to h in 3\/8, 0, -19?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l - 1 = -141. Let k(r) = -6*r + 0 + r**2 + 5 + 2. Let f be k(6). Calculate the greatest common divisor of f and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = -21*b**2 + 2. Determine m(3).\nAnswer: -187","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = -8*n**3. Let l = -16802 - -16816. Let a(d) be the first derivative of 0*d**2 + l + 0*d - 23\/4*d**4 + 0*d**3. Determine -4*a(o) + 11*h(o).\nAnswer: 4*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 361 and -165?\nAnswer: 526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = -41*n**2 - 1. Let i(v) = 83*v**2 + 2. Let g(j) = -4*i(j) - 9*y(j). Let l be g(1). Let x = 54 - l. Which is greater: 1 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from nnnnnnnnunnnnnnnunnn. What is prob of sequence nn?\nAnswer: 153\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 246.6 - 125. Let b = -122 + z. Which is bigger: 20 or b?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 3 - 2. Let s = 5.5 - 5. Which is the closest to -2\/9?  (a) j  (b) -3\/2  (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 at most -487\/950435?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) be the second derivative of y**4\/12 + 7*y**3\/3 - 3*y. What are the prime factors of x(-15)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = 13*h**3 - 4*h**2 - 2*h + 11. Let a(c) = -2*c**2 - c + 1. Let q(d) = 2*a(d) - u(d). Let j(r) = -3*r**3 - 2. Determine -18*j(b) + 4*q(b).\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.3*-1952584.\nAnswer: 585775.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = 7*k**3 - 11*k**2 - 5*k + 1. Calculate l(3).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = 2*s**2 - 17. Let t(f) = -2*f**2 + 18. Give -5*g(b) - 6*t(b).\nAnswer: 2*b**2 - 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -150460*b + 150462*b - 64 = 5*a, a = 5*b - 114 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) be the third derivative of 11\/6*x**3 + 2*x**2 + 0 - 1\/6*x**4 + 0*x. Let g(z) = 5*z - 3*z - 3 - 3. What is 11*g(r) + 6*y(r)?\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -83*a + 85*a - 11*n - 19 = 0, -6*a + 2*n = -3*a + 15 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2\/3818817 or 1?\nAnswer: 2\/3818817","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 7 + -7. Let n(a) = a**2 + 7. Let t be n(z). Let q(x) = -x**2 + 6*x + 3. Let f be q(t). Put f, -2, 3 in decreasing order.\nAnswer: 3, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 48  (b) -0.1  (c) 1090\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = y - 0. Let h be ((-32)\/20)\/(y\/(-10)). Let n = -4 + h. Solve -q = -0*q + n for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -375 (base 9) to base 14\nAnswer: -183","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -205ab10 - 12?\nAnswer: -205ab22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 3c9d (base 15) in base 6?\nAnswer: 140021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 400409 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 divided by 25682?\nAnswer: 3\/12841","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5*g**2 - 1 + 2*g**4 - 35*g**3 + 35*g**3 to the form i*g**4 + t*g**3 + a + h*g + l*g**2 and give l.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 398.1 + -398. Suppose 0 = i - 2 - 16. Suppose 2*m + 5*q + 18 = 0, -3*m - 3*q = -0*q + i. What is the third smallest value in n, m, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8083?\nAnswer: 59, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.4 - -16764258401?\nAnswer: 16764258401.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1935031163?\nAnswer: 13, 148848551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 3\/7 and -101\/9236.\nAnswer: 64652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 70*a**2*d**2 + 376*a**2*d - 5*a**2 + 3*d**2 wrt d?\nAnswer: 140*a**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from yfvihfvyl. What is prob of sequence lvhv?\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1.97 + 1.55. Let u = 2.42 + h. Which is the third biggest value?  (a) -0.5  (b) -1\/5  (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4619384 divided by 209972?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from hhhwdydwyhylhhddii. What is prob of picking 1 h, 1 d, and 1 w?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) be the third derivative of -21*h**8\/16 - 79*h**7\/10 - 977*h**6\/60 - 72*h**5\/5 - 16*h**4\/3 + 4*h**2 + 25*h - 10. Suppose g(p) = 0. What is p?\nAnswer: -2, -1, -8\/21, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -15, -28, -41, -54, -67?\n\"Answer: -13*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -61 + 56 = 21*l + 205 for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.2 + 4.8. Which is the second biggest value?  (a) l  (b) -3\/7  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*r - 5*h - 51, 0*r + 3*r + 2*h = -42. Let x = r + 17. Suppose -5*t = 0, 2*t - 719 - 546 = -x*j. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1581 (base 9) to base 4.\nAnswer: -102313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 648 + -3244\/5. Which is bigger: d or 1.5?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 20b68b (base 12) in base 15?\nAnswer: a3598","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -5066, -20260, -45582, -81032, -126610?\nAnswer: -182316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.2 * 611.\nAnswer: -122.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 34 a factor of 1828?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = -12*p - 21. Let g be r(0). Is (-1922775)\/(-217) - 6\/g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/67?  (a) 0.619  (b) 18  (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) be the first derivative of -7*n + n**4 + 0*n**2 + 6 - 11\/3*n**3. Let z(d) = -2*d**3 + 5*d**2 + 3. Give 3*u(l) + 7*z(l).\nAnswer: -2*l**3 + 2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.06 in 2\/3, -0.19, -1, -89?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*d**5 + 45*d**4 - 207*d**3 + 291*d**2 - 126*d = 0 for d.\nAnswer: 0, 1, 6, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*o + 0*o + o)*(o**2 + 2*o**2 - 4*o**2 + (1 - 1 - 1)*(o - o + 2*o**2)) + 5*o**3 - 4*o**3 + 0*o**3.\nAnswer: 7*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -3688, -7378, -11068?\n\"Answer: -3690*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 210 is divided by 99.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is -15380 not equal to -15871?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = 2*o**3 + 2*o**2 + 7*o + 15. Let g be s(-4). Let j = 156 + g. Does 20 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 21\/4 of a gram in milligrams?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 1166072504 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: Suppose 0 = -x - 3*x - 36. Let c = x - -13. Let a(p) = p**3 - 2*p**2 - 2*p - 1. Is a(c) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -79*b + 51 - 102 + 650 = -1139 for b.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 279 - 276. Suppose -2*k = -6 + 2, -6 = -s - k. Let v(r) = -4*r + 1. Let w be v(-1). Solve s*n - w = y for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -104121 = -16*i + 210743. What are the prime factors of i?\nAnswer: 11, 1789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7940.433 decades in years?\nAnswer: 79404.33","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = 326*l - 42731. Determine w(131).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 42\/5 of a kilometer in meters?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -49, -133, 5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 15318?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z**(-15)\/z**1)\/(z**14*z*z*z**(-29\/3)))**7 assuming z is positive.\nAnswer: z**(-469\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 52 - 21*q**3 - 13*q**3 - 9*q**3 - 2117*q**4 - 72*q**2 + 32*q + 11*q**3 + 2137*q**4 = 0.\nAnswer: -1, 1, 13\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -2  (b) -1  (c) 67.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 1\/10 of a centimeter?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 3, -9.63, 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2 - z**2 + 2695*z**4 - 5403*z**4 - z + 2706*z**4 + 31*z**3 to l*z + t*z**4 + q*z**2 + v*z**3 + i and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -1b1 + -381?\nAnswer: -562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 310778 is divided by 11875?\nAnswer: 2028","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 820824533 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 1470884465 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 48916286 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.0496 + -0.0099. Let q = -0.0595001 - v. What is q rounded to 7 decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:26 AM and 8:12 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = -2*u - 4. What are the prime factors of w(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = m**3 - 7*m**2 - 9*m + 19. Suppose -84 + 68 = -2*f. What is the smallest common multiple of k(f) and 25?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 33\/5 of a hour in seconds?\nAnswer: 23760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2.3821*0.1.\nAnswer: -0.23821","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 78 a factor of 1272024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) be the second derivative of -3*l**5\/40 + l**4\/8 + 37*l**3\/4 + 105*l**2\/4 + 2*l + 21. Find g such that b(g) = 0.\nAnswer: -5, -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 117 + -112. Suppose -4*i + 5*i = -3*k - 19, -4*i + w*k = -9. What is the hundreds digit of (-6)\/(((-1)\/i)\/((-18)\/3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = 2*a - 12. Let f be w(10). Suppose 56*m - o = 59*m - 263, 3*m - 261 = -3*o. Calculate the greatest common divisor of f and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of ((-6)\/4)\/(1\/(-2)) and 4\/(-12) + ((-84)\/(-9) - 5).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = 4*s. Let t(o) = 13218*o**2. Calculate i(t(b)).\nAnswer: 52872*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 - (-4 - 1) - 2 - -18 - (17 + -21)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1100059?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-12)\/4)\/3 - -3. Differentiate p - 3 - 2 + 4 - 4*g**2 wrt g.\nAnswer: -8*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -145*(25986\/355 - 73).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:46 PM and 6:20 AM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1427*t**2 - 1478*t**2 + 613*t**2)*(0 - 2*t + 0*t - 2).\nAnswer: 4584*t**3 + 4584*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7*123.\nAnswer: 861","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (3\/6)\/((-4)\/(-40)). Suppose -r*u - 21 = -5*a + 9, -5*u = 5*a - 10. Suppose -x + a = -4. Calculate the least common multiple of 22 and x.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 84.23834mm to meters.\nAnswer: 0.08423834","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3053 in 0.5, -951, -3\/5?\nAnswer: -951","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) be the first derivative of 2*j**5\/35 - 6*j**4\/7 + 24*j**3\/7 - 16. Factor s(d).\nAnswer: 2*d**2*(d - 6)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 491 minutes before 6:13 PM?\nAnswer: 10:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6 is divided by 1\/2 - 15\/(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/173?  (a) -6  (b) -31  (c) -4\/7  (d) 0.3  (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 42\/2033 or -1?\nAnswer: 42\/2033","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0051315 to five decimal places.\nAnswer: 0.00513","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is g in g**5\/3 + 15244*g**4\/3 - 239319*g**3 + 11006192*g**2\/3 - 50892544*g\/3 - 20877312 = 0?\nAnswer: -15291, -1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-6 - 10)*(-10)\/8. Suppose 6 = 3*t, 62 = 3*v + 2*t + 2*t. Suppose v*r = b*r + 2. Is 16 smaller than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(-3\/4))**(7\/6)*v**(-22)\/v**(-5\/12) assuming v is positive.\nAnswer: v**(-539\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) be the second derivative of -b**3\/2 + b. Suppose 3*y + 125 - 137 = 0. Let i(x) = 4 - 45*x + 82*x - 35*x - y. Calculate -7*i(z) - 4*r(z).\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 320234499 to the power of 1\/2, to the nearest integer?\nAnswer: 17895","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 14, -2391, -4, 8 in decreasing order.\nAnswer: 14, 8, 2, -4, -2391","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j - 10 = 0, j - 6572 = -3*g + 191. List the prime factors of g.\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 42*o + 924 = 49*o + 37*o for o.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 57 - 47. Let n = 9.9598 - u. What is n rounded to three decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -161498\/5 or -32299?\nAnswer: -32299","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/19?  (a) 2  (b) -1\/2  (c) -3\/2  (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 11\/(-22) + 57\/(-2). Let n = 48 + c. What are the prime factors of n?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u = 4*j - 32, 5*j - 28 = -2*u + j. Let g be 1\/(-2) - (2 + 11\/(-2)). Solve -g*z - z + u = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -49 - -51. Let m(q) = -10 + 5*q**j + 10. Let a(l) = -3*l. What is a(m(w))?\nAnswer: -15*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) be the third derivative of -1\/10*d**5 + 0 - 1\/20*d**6 - 1\/12*d**4 + 0*d - 1\/105*d**7 + 4*d**2 + 0*d**3. Factor m(u).\nAnswer: -2*u*(u + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*i - 2*h - 30 + 163, -3*h - 80 = -2*i. Let v(y) = -y**2 + 43*y + 90. Let w be v(i). Do w and 90 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b = 2*o + 262, -3*o = b + 2*b + 159. Calculate the remainder when 63 is divided by (b\/(-10))\/((-3)\/(-15)) + -4.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = -l**3 - 2*l**2 + 8*l + 5. Let j be k(-4). Let p(m) be the first derivative of -m**3\/3 + 3*m**2\/2 + 7*m + 1. What is p(j)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 338641508129 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 4\/9?  (a) -267  (b) -0.7  (c) -2  (d) 4  (e) -2\/23  (f) -0.04\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d = 7*d + 105. Let y(q) = -q**3 - 20*q**2 + 20*q - 17. Let j be y(d). Solve 0*v = -j*v - 8 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 41020 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2761 + 1734 + 342)*(s - 5*s + 2*s).\nAnswer: -9674*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert 774.3856l to millilitres.\nAnswer: 774385.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = i**2 - 5*i + 3. Let h(q) = 6*q + 57. Let v(b) = 13*b + 119. Let z(d) = -5*h(d) + 2*v(d). Let o be z(-13). Determine r(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 699 minutes before 5:12 PM?\nAnswer: 5:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 86 a factor of 82339922?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of f**4*v**3 - 91879540*f**3*v**3 - 8*f**2*v**2 + 61*f**2*v - 42*f**2 - 5*v**3 wrt f.\nAnswer: 24*f*v**3 - 551277240*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 216705354 and 46692.\nAnswer: 7782","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 1, a: 7}. What is prob of sequence iaa?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = g - 3. Let y be l(5). Suppose -d = d - y. Let t be 2 + d\/(-1) + 4. Solve 1 = -2*j - t for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3.49379956 rounded to two decimal places?\nAnswer: -3.49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 a factor of 35379?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:56 PM and 4:49 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -75 or -65?\nAnswer: -75","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1958 - 7669 - 29)*(q + 4*q - 4*q).\nAnswer: -5740*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0.5, -5566, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 34905050, 69810093, 104715136, 139620179, 174525222?\n\"Answer: 34905043*n + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 144034 is divided by 9097?\nAnswer: 7579","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Add together 0 and -15365.\nAnswer: -15365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o**3 - 5406*o**2 - 149604*o - 1043112 = 0. Calculate o.\nAnswer: -1774, -14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -200623267, -200623268, -200623269, -200623270, -200623271, -200623272?\n\"Answer: -r - 200623266","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.01 + -0.13. Let m = 0.14000013 + y. Round m to seven decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -35\/2 - -17. Let o = -10.1 - -9.1. Which is the closest to o?  (a) -1  (b) d  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -112 - -12. Let c = 95.1 + p. What is c rounded to 0 decimal places?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + (-2*(-5 + 2*sqrt(3)))**2.\nAnswer: -80*sqrt(3) + 147","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Determine u so that -1324*u**4 + 7943*u**3 - 15882*u**2 + 10580*u + 8 = 0.\nAnswer: -1\/1324, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 2 + 0. Let a(r) = 3*r + 1. Let d be a(g). Suppose -5*i = 107 - 127. Solve 3*t = 2*m + 14, 3*t + 3 = -i*m - d for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1367*d + 1432 = 563*d + 625*d for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 6 + 1 - (0 + 1). Let q(t) = 5*t**2 - 3. Suppose 4 = 2*c, -3*i + 5*c - 15 = 1. Let r(m) = -2*m**2 - 5 + 4 - m**2 + 4*m**2. Determine i*q(y) + o*r(y).\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 1288\/(-736)*1032\/55083?\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 229263 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 559704, 560172, 560640, 561108, 561576, 562044?\n\"Answer: 468*b + 559236","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify x**(8\/5)*x\/x**8 assuming x is positive.\nAnswer: x**(-27\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*x - 46 = -382. Suppose x*d - 41*d - 9 = 0. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -0.1, 1, -78\/367?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 31612?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 7\/14 + (3 - (-1509)\/(-426)). Let v = 379\/568 + d. Suppose s + 5 = -5*i, 5*i - s = 4 - 19. Which is the nearest to v?  (a) 0.1  (b) 3  (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -71762717 divided by -6.\nAnswer: 71762717\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -0.93, -61, -3\/2, -0.1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 370 is divided by 64?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -9977 + 10422. Calculate the remainder when q is divided by 105.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 847802?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(5) - 1*sqrt(5))*-4 + sqrt(605)*-1)**2.\nAnswer: 605","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) be the first derivative of 0*v**3 - 2 - 1\/60*v**5 + 0*v + 0*v**4 + 1\/2*v**2. Let y(g) be the second derivative of t(g). Factor y(w).\nAnswer: -w**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*h*n**2*q**3 - 2071*h*n*q**2 + 2*h*n*q + 47*h*q - n**2*q - 6*n**2 + 2*q**3 + 10*q - 2 wrt q?\nAnswer: -12*h*n**2*q - 4142*h*n + 12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-2754)\/12)\/(-9)*8\/6. Suppose -5*z + 154 - u = 0. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -11, 2, -8 in increasing order.\nAnswer: -11, -8, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*g + 3*g - 2*g + (-2*g + 0 + 0)*(-3 + 0 + 4) + (2*g - g - 2*g)*(4 - 1 + 0) - 10*g - 41*g + 11*g as b*g + x and give b.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Are -177 and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -13808882*a*h**3 + 14*a*h**2 + 14*a - h**3 - 6*h + 15963 wrt h.\nAnswer: -82853292*a - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 188 a factor of 12814?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = -a**3 - 5*a**2 - 4*a - 2. Let x = -19 + 21. Suppose -4*z = -i - 6, 2*i - z + 0*z - x = 0. Let u be i + -2 + -2 + -2. What is p(u)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 318067 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -10052 - -131.\nAnswer: -9921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 19, 49, 105, 193, 319, 489, 709?\nAnswer: 985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 4, n: 1, j: 3, y: 6, k: 2}. What is prob of picking 1 n, 1 t, and 1 j?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 z and 1 w when two letters picked without replacement from zuwxn?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-21)\/(840\/(-65)))\/((5\/2)\/(-5))?\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.01548843257 to five dps.\nAnswer: 0.01549","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (4\/(-2) - -5) + 3. Let s be 4\/10 + g\/(-15). Suppose 5*m - 10 = -s*m. Solve 2*z - 3*z = m for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -1\/520422 and 33\/1648003?\nAnswer: 9888018","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (21\/(-21))\/(-4)*16\/(-6).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k - 1312 = -a, -a = -3*a + k + 2629. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*d**2 - 4*d**2 + d**2 + 2*d**2 - 2*d**2 - d**2 + (3*d - 7*d + 3*d)*(2*d - 2*d + 2*d) - 2*d + 2*d - 2*d**2.\nAnswer: -10*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.5 + -0.1. Let h be 102\/15 - 0 - 3\/5. Let p = h + -139\/20. Which is the nearest to 0?  (a) p  (b) 3  (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -11725, -23773, -35745, -47641?\n\"Answer: 38*u**2 - 12162*u + 399","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**2\/(x**1\/x))**(-47) assuming x is positive.\nAnswer: x**(-94)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1731308.\nAnswer: 2, 419, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -54497067\/11 or -4954279?\nAnswer: -54497067\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Does 148 divide 2752060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {x: 5, n: 8, i: 3}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(320) + sqrt(320) + 2 + 0 - (-2 + sqrt(320))*4 - (4 + (sqrt(320) - (sqrt(320) + 0))*5))**2.\nAnswer: -192*sqrt(5) + 1316","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) be the first derivative of z**4\/10 - 4*z**3\/5 - z**2\/5 + 12*z - 464. Factor a(n).\nAnswer: 2*(n - 5)*(n - 3)*(n + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 - 3.81979?\nAnswer: 1.18021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) be the third derivative of 7*u**5\/30 - 7*u**4\/6 + 13*u**3\/3 + 61*u**2. Let z(x) = x**2 - 2*x + 2. Let v(w) = l(w) - 12*z(w). Factor v(s).\nAnswer: 2*(s - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -3265913245917.769897 + 3265914910468. Let b = l + -1664551. Let c = b - -0.77. Round c to 5 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3529 divided by -9\nAnswer: 3529\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = n**2 - 2*n + 3. Let f(s) = -s + 10. Calculate the remainder when b(3) is divided by f(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*d - d = 1582240712. Suppose 4*q - d = -9*q. Let c = q + -4113853. What is c rounded to the nearest one million?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/6 at most -2362?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 498 and 11777866?\nAnswer: 35333598","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -20*v - 4*a + 11 = -19*v, 23 = -3*v + 2*a for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-234)\/39 + -3*58. Suppose -v = 4*v + 125. What are the prime factors of (l\/v)\/((-6)\/(-40))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 17 divide 2227?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 24.7 - 25. Let w = 0 - -1. What is the closest to 1 in p, w, 2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 3.558 - 3.55797148. Round o to four dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3*d - d + d)*((0 - 1 + 0)*(3 + 2 - 3) + 6 - 3 - 4) in the form a*d + u and give a.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 13 - 31 - -44 - 52.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -5 - (13 - (0 - -2) - (-289 + 284))\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*t + 4*y + 36, 0 = -0*y + 3*y + 9. Suppose t*l = 7*l + h - 5, -h = -3*l - 3. Is 1\/4 less than or equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -33, -110, -239, -420?\nAnswer: -653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/5 in 4\/9, -2\/11, 1, -4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -5\/78 + -7\/26. Which is the closest to d?  (a) 1  (b) 2\/27  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 66809*k**3 + 4*k + 9501?\nAnswer: 400854*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v + 390 = -135. What are the prime factors of v?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -105431525 - 56?\nAnswer: -105431614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Divide 63564 by 21188.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 2\/123 + -28\/41. What is the nearest to i in 0.9, 1\/5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 124231760 is divided by 2803?\nAnswer: 2800","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor -12500*t**3 + 6861000*t**2 + 823455*t + 24705.\nAnswer: -5*(t - 549)*(50*t + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 101088 and 1329426.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -3 + -235?\nAnswer: -241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q + w - 2*w = 16, -q = -3*w - 18. Solve -q = -l - 4*h, 17*h - 22*h + 15 = 5*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 516*t**3 + 450*t**3 - 981*t**3.\nAnswer: -15*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u = -0*u - 294. Is u a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (16634 - 1985 - 1549 + 2996 + 0 - 2 + 0 + 3 - 3 + 2 + 1 - 6 + 3 - 1 + 0 + 0 + (-1 + 1 + 2)*(5 - 4 - 2) + 4 + 0 - 3 + 0 + 1 + 1)*(h - h + h).\nAnswer: 16094*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -701846 + -115?\nAnswer: -702062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -9.4297 + -0.2003. Let l = 4.36 - 3.03. Let r = l + n. What is r rounded to the nearest integer?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-2529)\/(-81) - 4\/18. Find the first derivative of 106*h**2 - 84*h**2 - 49*h**2 + c wrt h.\nAnswer: -54*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1189, 691, 199, -293, -791?\nAnswer: -1301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 5151.538 minutes?\nAnswer: 309092.28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 400443 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9*g - 19*g + 6*g - 6*g.\nAnswer: -28*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 471, 937, 1399, 1857, 2311, 2761, 3207?\n\"Answer: -2*i**2 + 472*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 347\/33010 or -1?\nAnswer: 347\/33010","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000027015 to five dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -15*x - 41*x - 38*x + 92*x.\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = -o**2 - o + 1. Let t(j) = -1. Let a(w) = -2*t(w) - v(w). Let r(c) = 12*c**2 + 11*c + 11. Calculate 44*a(f) - 4*r(f).\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 26580 is divided by 12965.\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -93 + 93 + 3179*s**3 - 1219*s - 3180*s**3.\nAnswer: -s**3 - 1219*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1.3?  (a) -1\/7  (b) 1\/21  (c) 3.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 12726 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = -m + m**3 - 4*m**2 - m + 4*m**3 - 3. Let d(s) be the first derivative of -s**4 + s**3 + s**2\/2 + 2*s + 17747. Calculate -4*d(r) - 3*v(r).\nAnswer: r**3 + 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 275893 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -5 - -53?\nAnswer: 4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort -167, 3, 2, 13 in descending order.\nAnswer: 13, 3, 2, -167","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (3\/(-4) - 3)\/((-3)\/(-12)). Let j be (-32)\/d - (-12)\/(-90). Suppose 3*k - 146 = j*k + 2*v, 5*k + 5*v - 775 = 0. List the prime factors of k.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 + (6 - (5 + 2 + 3)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -25\/2286 and -91\/2540?\nAnswer: 22860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 1845394 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 j(x) = x**3 - x + 1. Let z(o) be the first derivative of o**2 - 3*o - 4 + 2\/3*o**3. Let s be (-2 + 0)\/(-4)*-2. Determine s*z(r) - 2*j(r).\nAnswer: -2*r**3 - 2*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-9)\/93*34\/(-867)*-17?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 5132264 to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-582)\/4 - (35\/14 - 1). Let y = 26 - m. Suppose 0 = 3*c - 33 - 54. What is the remainder when y is divided by c?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 32 - 34.9. Let a = x + 2.8. Sort -0.5, 1, a in decreasing order.\nAnswer: 1, a, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -168*q + 5313 + 11991 = 0. What is the highest common factor of 3708 and q?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 3 - -548?\nAnswer: 550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 5?  (a) -17.772  (b) -2\/21  (c) 1  (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 20062 is divided by 531.\nAnswer: 415","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n + 0 = 4. Suppose -4*r + z + 219 = 0, -3 = -5*z + n. What are the prime factors of r?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -609*t + 604*t - 9 - 36 for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ebomcbocccomeoocobc. What is prob of sequence mb?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) be the third derivative of v**6\/120 + v**5\/12 + v**4\/24 + v**3\/6 + 27*v**2. Let x be f(-5). Let j = -2010 - -14044\/7. Which is bigger: x or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let r be 1 + 0 + (2 - 0). Find the second derivative of -6*g**4 + 0*g**4 - 2*g + 3*g**4 + r*g wrt g.\nAnswer: -36*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 0.2  (b) -3726  (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*j + 7*j + 11 - 8 + 5*j + 0*j + 4*j + (1 - 1 - 1)*(2*j - 2*j - 2*j) + 0*j + 0*j - j.\nAnswer: 15*j + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 29431873 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -11*m**2 - 1095 - 55*m - 151*m + 4*m**2 + 224 wrt m?\nAnswer: -14*m - 206","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3)\/((-2*(-3)\/(-24))\/((-11)\/22))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2539 is divided by 98.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1 + -1. Let t = -2.5 - o. Sort -3, 4, t in descending order.\nAnswer: 4, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) be the first derivative of 7\/3*u**3 + 0*u**2 + 0*u - 2. Let c(s) be the second derivative of s**3\/6 + 3*s + 4. Calculate w(c(b)).\nAnswer: 7*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Product of 27785 and -2.\nAnswer: -55570","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 721.8 bigger than -36?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Determine v, given that -12*v**4 - 2912*v**3 - 1932*v**2 + 968*v = 0.\nAnswer: -242, -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -7675, -61531, -207681, -492271, -961447, -1661355, -2638141?\nAnswer: -3937951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = 169*n**2 + 3*n + 4. Let c be b(-5). Let g be (-3)\/(-6) + c\/(-20). Let m = -214 - g. Find the common denominator of m and 58\/9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 28290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-15)\/(10\/2)*-5. Let u = 48 - i. Let z(q) = -14*q - 13*q + u*q + 3 + q**2. Determine z(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 493782246 to the power of 1\/2, to the nearest integer?\nAnswer: 22221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 13 - 5. Let h = q - 11. Let f(y) = -y. Let i be f(-4). What is the nearest to -2\/7 in h, -1, i?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*v - 2*v**3 - 3*v + ((1 - 1 + 2)*(3 + 5 - 2) + 2 + 0 + 0 + 2 - 11 - 11)*(v**3 + 2*v**3 - v**3).\nAnswer: -14*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 382*n = 582*n - 1107*n - 1273*n - 93740 for n.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 337 minutes before 9:51 AM?\nAnswer: 4:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d**(-2\/15))**(-4\/19))**(6\/11)*((d\/d**1)\/d)**18\/((d*d**(-1\/6))\/d*d\/(d\/d**(-9)*d)) assuming d is positive.\nAnswer: d**(-49019\/6270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b = 3*f - 43, -2*b = -0*f + 4*f - 62. Suppose f*q = q + 14. Let u(j) = -6*j**3 - j + 2*j**2 + j**2 - j**2. Determine u(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 7359, 7361, 7363, 7365, 7367, 7369?\nAnswer: 7371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 5 + -c8940?\nAnswer: -c8939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) be the third derivative of 7*v**6\/120 + v**5\/60 - v**4\/12 - 7*v**3\/6 - 4*v**2. Is t(3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2287735798?\nAnswer: 2, 17, 277, 242911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p - 225 = 4*v, -1 = -v + 4. Let i(x) = 7*x**2 + 6*x + 6. Let d(f) = -56*f**2 - 49*f - 49. Let c = -4345 - -4351. Determine c*d(a) + p*i(a).\nAnswer: 7*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -38161 + 41137 = 42*x - 290*x for x.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -1.22, -1, 1\/8, 15\/164, -33.8?\nAnswer: 15\/164","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = k + 8. Let i be y(-11). Is ((-134)\/i)\/(16\/120) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8530806 divided by -6?\nAnswer: -1421801","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3115410 by -9190.\nAnswer: -339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = -j**2 + 3*j + 2. Suppose 22 = -2*h - p - 3*p, 4*h = -4*p - 24. Let n(l) = 0 + 1 + l - l**2 + 0*l. Suppose -3*c - 2*c = -15. What is c*n(f) + h*r(f)?\nAnswer: -2*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 3629 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d + 7*d = 4*g - 8, -5*g + 5 = -4*d. Let a = 40 + g. List the prime factors of a.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4086827 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort -7, -2, -4, 1, 5 in ascending order.\nAnswer: -7, -4, -2, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -5565 + -6171?\nAnswer: -13756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = 8*b - 1. Suppose -3*w = 3 + 3. Calculate q(w).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 2, z: 3, v: 3, h: 2, c: 1, e: 1}. What is prob of sequence zz?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1117544385 - 1117544335.6789949. Let d = 1.3206171 - p. Let u = d + 48. What is u rounded to five decimal places?\nAnswer: -0.00039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 481061019 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*t**3 + 0*t**3 - t**3 + (4 + 1 - 4)*(t - t**3 - t) + (-t + 0*t + 0*t)*(4*t - 4*t + t**2).\nAnswer: -3*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 503610540 to the power of 1\/7, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -4781 + 4911. Which is smaller: d or 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a + 98 = -5*h - 0*a, -3*a + 63 = -3*h. Let v be h\/35 - 50\/(-14). Let u be v + 32 + 4 + -2. What is the highest common divisor of 37 and u?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -46 = -3*v - 17*r + 15*r, 3*v - 3*r = 36. Solve -3*o = 4*p - 14 - v, -4*o + 20 = p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 38 - 34. Let c(w) be the first derivative of 1\/5*w**5 + 0*w**d + 0*w**3 - 2 + 3*w + 0*w**2. Differentiate c(l) with respect to l.\nAnswer: 4*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = -8*d**2. Let a(j) = -416*j + 2333. Determine a(h(o)).\nAnswer: 3328*o**2 + 2333","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 480, 496, 524, 570, 640?\nAnswer: 740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-6 + 0 - (5 + -6)) + -1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2941?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 179726047?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*a**3\/13 + 6*a**2\/13 + 4*a\/13 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 4515 + -4515.02. Which is the nearest to -1\/2?  (a) u  (b) 0.3  (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 3278700 to the nearest ten thousand.\nAnswer: 3280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = d**2. Let z(g) be the third derivative of -g**5\/60 - 10*g**2. Calculate n(z(s)).\nAnswer: s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0 or -404\/57233?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify v**(-2\/9)*(v\/v**(2\/3))\/v*(v**(-1\/4))**40 assuming v is positive.\nAnswer: v**(-98\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 542958?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3147*f - 915 = 3208*f for f.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -v**3\/2 - 9347*v**2\/2 + 814936*v - 35201262.\nAnswer: -(v - 86)**2*(v + 9519)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 3b77a (base 13) in base 6?\nAnswer: 2214302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 165 - 165.3. Which is the second smallest value?  (a) 18  (b) 0.3  (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 576487212 a multiple of 156?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*f = 5*t - 17, 2*t - 30 + 20 = 4*f. Solve 5*g - l + 2 = 0, 7 = 2*g + t*l - 16*l for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {m: 7, q: 2, r: 10, y: 1}. Give prob of sequence rrqm.\nAnswer: 7\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o + 0*k + 4*k - 194 = 0, 4*o - 263 = -k. What is the highest common factor of 22 and o?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 278\/3 - 92. Let r(q) be the first derivative of -1 + q - i*q**3 + 0*q**2. What is the derivative of r(z) wrt z?\nAnswer: -4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve u - 9*u = -h - 4*u + 75, -5*h + 4*h + 3*u + 56 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is j in -4424*j - 611610*j**2 + 286*j**3 + 41938*j**4 + 569680*j**4 + 4138*j**3 - 8 = 0?\nAnswer: -1, -2\/553, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 3 - 2221?\nAnswer: -2212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) be the second derivative of 103*d**4\/12 - 4*d**3\/3 + 19*d**2\/2 + 270*d. Calculate the remainder when v(2) is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9027516229 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 4072?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 0\/(-2) - 4 - -29. Let s = 106 - o. Is s a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = 6*x**2. Let o(i) = 127863*i**2. What is v(o(w))?\nAnswer: 98093680614*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w**(-1))**(-1\/23)*(w**(-1))**40)\/((w**1)**11\/((((w*(w\/w**(-3\/10))\/w)\/w)\/w)\/(w\/(w**(-1\/5)\/w)))) assuming w is positive.\nAnswer: w**(-12387\/230)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 2, y: 3, c: 3, v: 7, e: 5}. What is prob of picking 1 c, 1 e, and 1 y?\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is one quarter of a microgram in nanograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify j**(-7\/5)\/(j*j\/j**23)*((j**(2\/49)\/j)\/j)\/(((j\/j**1)\/j)\/j) assuming j is positive.\nAnswer: j**(4812\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 1409777 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g = -31 + 19. Suppose b + 15 = -g*j, -7 + 27 = 5*b + j. Solve 2*l - 13 = b*q, 0 = -4*l - 2*q - 6 - 4 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 8\/(-44) + 2\/11. Let z be 3\/(-6)*u*-1. Solve 35 = 6*t - 2*t - 5*n, z = -3*t - 2*n + 9 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1012*o + 124*o - 2975*o)*(4 - 2 - 1).\nAnswer: -1839*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 6976073977 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ssss when four letters picked without replacement from ssssssssss.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7*l**2 + 29*l**2 + 3*l**2.\nAnswer: 39*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 - 13 = -c. Suppose 2 = 2*i - 18. Calculate the highest common divisor of c and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m + 6 = 4. What is the tens digit of ((m - -40) + 0)\/((-1)\/(-1))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-12)\/210)\/((-8)\/28)*-4\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 23453?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 66.98 - 65. Let z = b + 0.22. Let n = 2.5 - z. What is the second biggest value in -0.2, n, -2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x + 19 = -3*r, x - 6*x = 4*r - 13. Let q = -9 + 13. Sort -5, q, x in descending order.\nAnswer: x, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rurrrruurru. What is prob of sequence ru?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = 6*a - 6*a**3 + 10*a**2 + 26 - 2 + 7*a**3 + a**2. Let d be i(-10). Suppose d = 3*s - 101. List the prime factors of s.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 13952041 is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = -2*m**3 - 78*m**2 - 362*m - 7915. What is h(-37)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) be the first derivative of 10 - 1\/12*t**3 - 1\/16*t**2 + 0*t - 1\/32*t**4. Factor i(b).\nAnswer: -b*(b + 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p - 303*s - 46946 = -307*s, 2*s + 187730 = 4*p. What is the thousands digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4676?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -1 + 2 + (-936879)\/84. Suppose 0 = -53*c - 374788 - 216215. Let f = r - c. Calculate the common denominator of f and -51\/28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.012 - 4.588. Let u = w + 4.63. Let z = u - 0.02969. Round z to 4 dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.3*-1087810.\nAnswer: -326343","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -26, 29, 4, 1, -1 in increasing order.\nAnswer: -26, -5, -1, 1, 4, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4 + -5 - 0) + (-17 - -7 - -9).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2165271 and 921?\nAnswer: 921","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 43 + 13141*f**3 - 25516*f**3 + 4*f**2 - 4*f**2 + 12892*f**3 wrt f.\nAnswer: 1551*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*d - 4*n + 172, -3*d = -2*n - 124 - 24. Solve -18*a + 20 = -d for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 11, y: 1, m: 1}. Give prob of sequence me.\nAnswer: 11\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -1353 and 0.4.\nAnswer: -541.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2057)*1*1 + (1 + sqrt(2057) + sqrt(2057))*4 + 4)**2 + (2*(6*sqrt(2057)*-2 + sqrt(2057) + 4*1*sqrt(2057)))**2.\nAnswer: 1584*sqrt(17) + 569853","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -355 + 194 - (-40 + -45)\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-7)\/(-3) - 8\/6. Let w be (-948)\/(-956) - (c + 1 + -1). Let l = 496\/2151 + w. What is the nearest to -2 in 0.2, 1, l?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 144 and 30420.\nAnswer: 121680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i**(-1\/2))**(-44)\/(i**(8\/5)*i**(-2\/9)*i))\/((i\/i**(-2))**(-5\/7)*(i*i**(-2\/7))**(-11\/9)) assuming i is positive.\nAnswer: i**(2377\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o = -3*r + 94, -3*r - 87 - 56 = 2*o. Round o to the nearest ten.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (((-15)\/(-120))\/((-3)\/6))\/((-16)\/64). Suppose 4 = -2*t - 0, 2*t = 2*z + 6. Sort 20, m, z in ascending order.\nAnswer: z, m, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h - 192 - 32 = 0. Let a = -105 + h. Calculate the greatest common divisor of 217 and a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-34)\/(((-1617)\/66)\/(-49)*1*-2)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 153652.09 rounded to the nearest ten thousand?\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = k**3 + k**2 - k - 18. Let j be f(0). Suppose 4*t = -2*z + 8, 16*t - 19 = 2*z + 11*t. Sort -4, z, -3, j in decreasing order.\nAnswer: z, -3, -4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -5 - 5 + 2*q**2 + 17 - 7 - 100*q as i + f*q**2 + y*q and give y.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-26)\/13)\/((-3)\/((-18)\/4)). Sort 3, u, -5, -7 in ascending order.\nAnswer: -7, -5, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 437065 and 305.\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = 238*n - 2128. Calculate the least common multiple of r(9) and 4058.\nAnswer: 28406","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -37\/91296 and 11\/49330272.\nAnswer: 147990816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = m + 1. Let k(s) = -3*s + s - 8*s + 11*s. Let b(l) = -9*l - 2. Let u be b(-4). Suppose -36*p + u*p = 6. Give p*c(x) + k(x).\nAnswer: -2*x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 1270 - -3?\nAnswer: 1273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -54 + 55. Let x(t) = -3 + 3*t - t - r - t. Give x(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 307, 302, 297?\n\"Answer: -5*b + 312","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2565217*y**2 + 385121*y + 13 wrt y?\nAnswer: -5130434","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Does 21 divide 1743?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:29 AM and 1:41 PM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 27.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = 2*k + 2. Let a(b) = -1399*b**2 - 6*b - 162. What is a(m(v))?\nAnswer: -5596*v**2 - 11204*v - 5770","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:56 PM and 10:55 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q\/(q*q*q**3))**1)**(-2\/3)\/(q*q**(8\/3)*q*q\/((q*q**2)\/q))**8 assuming q is positive.\nAnswer: q**(-80\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = -9*v - 5. Let q(r) be the third derivative of -r**4\/24 - r**3\/6 - 7*r**2 + 17*r - 4. Calculate a(w) - 6*q(w).\nAnswer: -3*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -190 + 47. Let l = p + 146. What is the third biggest value in -5, -3, -0.4, l?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b + 30 = -2*w, -7*b + 2*b + 55 = -5*w. Let j be b*12\/45 + 6\/(-45). Suppose p - 6 = 8. Calculate the highest common factor of j and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = -3*i**2 + 3. Let w(k) = k**2 - 13. Let l(u) = -u**2 + 6. Let c(d) = 5*l(d) + 2*w(d). Calculate 5*c(n) - 6*j(n).\nAnswer: 3*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n - 2*s - 2 = -5*n, 10 = 5*s. Let f be 4*-1 - 0\/1. Let j = f + n. Solve 3*k + j = -7 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -5 in 54, 1, -0.2, 0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 123 divided by -41.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 6 - bb490a0?\nAnswer: -bb49099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = 47*q - 6. Let b(h) = -48*h + 5. Determine -6*b(y) - 5*x(y).\nAnswer: 53*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 + -1 + -1 - (-2 - 1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3 - 2 - ((1 - 2) + 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find l such that 3515*l**3 + 53745*l**2 - 57260*l = 0.\nAnswer: -11452\/703, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/4 in -2, 3\/4, 52?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 400 and 4480?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -10248 divided by -14.\nAnswer: 732","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 50.067 and -0.4?\nAnswer: 50.467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -a - 10*c + 110 = 0, 48*a = 44*a - 5*c + 55 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2284 is divided by 739?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w - 3 = 3*j, 5*w - 13 - 2 = 5*j. Let g = -5.6 - -3.6. Which is the third biggest value?  (a) g  (b) w  (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 22055938.2 milliseconds to days.\nAnswer: 0.2552770625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 18 a factor of 971035866?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 363149 is divided by 302?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 < -87\/597293?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*b - 14 = 2*f, -3071*b = -5*f - 3052*b + 37 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2\/736653 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 30833 to the power of 1\/3, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 135 or 1962666?\nAnswer: 135","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = -y - 4. Let c be s(-5). Let k = c - 1. Suppose 4*x + k = 4. What is the remainder when 2 is divided by x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -31\/20  (b) -3  (c) 3  (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 107 a factor of 2039308039?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = -i**3 - 7*i**2 - i - 7. Let g(c) = -4*c**3 - 29*c**2 - 4*c - 28. Let q(k) = 2*g(k) - 9*m(k). Let v be q(-5). Solve -4*z**2 + 5*z**v + 2*z**2 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = -32*l. Let o(k) = -12*k**2 - 2*k**2 + 11*k**2. Determine o(j(x)).\nAnswer: -3072*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -7 - (1 + -8 + -1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = 52*a - 450. What is f(9)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 21694 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 97\/3072940 and 37\/173940.\nAnswer: 9218820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = -5*v - 24. Determine c(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 362889 is divided by 270.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-2)\/(-7) + 24\/14. Suppose -4*b + 3*v = -409 - 28, 217 = a*b - 3*v. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -832*x**2 - 1602*x**3 - 832*x**2 + 1662*x**2 + 10115*x**3 as a + q*x**3 + c*x + w*x**2 and give q.\nAnswer: 8513","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2\/34627977 or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ssssssrrsssss. What is prob of picking 4 s?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.1 + 0.1. Let l = -2.1 - -1.97. Let d = l + -0.37. What is the nearest to -0.2 in d, g, -5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + (sqrt(228)\/(sqrt(12) + ((sqrt(36) + sqrt(324)\/sqrt(9))\/sqrt(3) - sqrt(12))) - (sqrt(190) - 3*sqrt(190)*-4)\/sqrt(10))**2.\nAnswer: 11883\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -32 (base 12) to base 4.\nAnswer: -212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = -j**3 - 112*j**2 + 80*j + 343. What is the units digit of d(-114)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.206 - 200.794. Which is the biggest value?  (a) 0.3  (b) -0.1  (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 m when four letters picked without replacement from vmmmmmmmvvv.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 2 - 6)*(3*l**2 - 2109 - 119*l + 1037 + 1123).\nAnswer: -3*l**2 + 119*l - 51","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 111 = -6*j + 94 - 55 for j.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -237 + 93 - 561 = -141*t. Let r(l) = 56*l**2 - 5*l - 4. Let q(u) = u**2 - u - 1. Calculate t*q(o) - r(o).\nAnswer: -51*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: (-99)\/(-66)*12\/3\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -3169909255+0.5\nAnswer: -3169909254.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f + m + 23 = -0*f, 5*f - 17 = -m. Suppose 0 = 4*p - 4 - 8. Suppose -p*l = -2*l - f. Solve -4*b + 3*s + 2*s - 1 = 0, -4*b = -l*s for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 + -1 + 2 - (10 - 5)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = o**2. Let l(t) = -7 - 5*t + 7. Calculate l(m(r)).\nAnswer: -5*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 54187270 divided by -515.\nAnswer: -105218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 301914*p + 38658*p - 8632*p.\nAnswer: 331940*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1501441 to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -8 in -3, -5, 5\/4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = -72*i - 42 - 49 - 28. What are the prime factors of y(-10)?\nAnswer: 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -27a72 - -77?\nAnswer: -279a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 81 (base 12) in base 6?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -25405*i + 25405*i - 2*i**2 + 4*i**2.\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 6146581 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 73*t - 5*f = 74*t - 274762, 5*f + 15 = 0. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 104494?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 29 + 105*x + 31*x**3 - 18*x**3 - 21*x**3 - 29 - 148*x.\nAnswer: -8*x**3 - 43*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {e: 2, j: 3, u: 4, r: 2, x: 1}. What is prob of picking 1 u, 1 r, and 2 e?\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 15887533?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) be the second derivative of -41*n**3\/3 + 5*n**2\/2 - 100*n. Is 11 a factor of h(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -3208, 3, -2\/237?\nAnswer: -3208","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1447, -1953, -3333, -6025, -10467, -17097?\nAnswer: -26353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of ((-21)\/(1768 - -17))\/(6\/(-35)) and -73\/51?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 98 and 189?\nAnswer: 2646","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 433, 879, 1325?\nAnswer: 1771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1 + 20 + 19 + 13 + 23 - 70 + 37*u.\nAnswer: 37*u + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: (2 - -37) + (-104 - -88) + -8\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express -d - 3*d**2 + 10*d**2 + 13*d**2 as y + u*d + r*d**2 and give r.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0 - -0.2. Let v = -53\/13 + -2634\/65. Let p = -45 - v. What is the third biggest value in 0.3, p, g?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*p**2 + 108704770*p + 108704765.\nAnswer: 5*(p + 1)*(p + 21740953)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 401016 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6.6*-20.\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor -243*z**3\/8 + 135*z**2\/2 + 192*z + 96.\nAnswer: -3*(z - 4)*(9*z + 8)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (449 - 15*d - 452 + 11*d - 13*d**2)*(-3 + 1 - 2) to the form r*d**2 + z*d + t and give r.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x = -2*w + 6*x + 18, 5*w - 4*x - 51 = 0. Is 11 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = p**3 + 12*p**2 - 2*p - 21. Let f be a(-12). Suppose -3*j + 24 = -f*d, 4*d = 2*j - 15 - 11. Let h = 11 + -7. Sort -5, h, j.\nAnswer: -5, j, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 46371 - 66?\nAnswer: 46303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m**0\/(m*m\/(m*m\/((m*m**(2\/15))\/m*m)*m)))\/(m**(-8)*m*(m*m\/m**7)\/m))**(1\/13) assuming m is positive.\nAnswer: m**(193\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 159*c - 2321*c = -199*c + 274*c + 98428 for c.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 719.1625 centimeters to kilometers.\nAnswer: 0.007191625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*x**3\/4 + 1835*x**2\/4.\nAnswer: 5*x**2*(x + 367)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 61\/3  (b) -4  (c) -2\/9  (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 25\/(-15)*(-36)\/30. Let v(y) = -o*y - 6*y + 4*y + 5*y - 3. Let a(p) = p. Determine v(a(j)).\nAnswer: j - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -12 + 13. Suppose 0 = 4*z - 35 - u. Is z a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + (-4 + sqrt(5) + sqrt(5)*1 - (sqrt(45)*-1)**2))*-3.\nAnswer: -6*sqrt(5) + 150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:34 AM and 1:41 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*f**4 + 7*f**4 - f**4 + (-2 + 2 + 1)*(-f**4 - 2*f**2 + 2*f**2) + 2*f**3 - 2*f**3 + 2*f**4 as m*f + l*f**2 + y*f**3 + q + w*f**4 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -13 or -59?\nAnswer: -59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2883*q + 282 - 90 + 2887*q)*(0 + 2 + 0).\nAnswer: 8*q + 384","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is (-380)\/(-1805) - 213\/741?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = 76*t**2. Let n(v) = -v. Calculate g(n(p)).\nAnswer: 76*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*y**2 - 2*y + 2*y)*(y - 4*y + 4*y) - 3*y**3 + 0*y**3 + 2*y**3 + (0*y**3 - 3*y**3 + 2*y**3)*(1 - 2 + 6) + 4*y**3 - 3*y**3 - 3*y**3.\nAnswer: -10*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -355 = -9*k + 4*k. Let s = k + -70. Let m(g) be the second derivative of -g**4\/6 + 5*g. Give m(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.037 times -1047047\nAnswer: -38740.739","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 329, 663, 989, 1301, 1593?\n\"Answer: -h**3 + 2*h**2 + 335*h - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -318942, -318923, -318888, -318831, -318746, -318627?\n\"Answer: q**3 + 2*q**2 + 6*q - 318951","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in three fifths of a gram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = -r**3 + 2*r**2 + 6*r - 9. Let u be l(3). Let q be u + (1\/9)\/(24\/36). Put q, -2, -1, 0.5 in ascending order.\nAnswer: -2, -1, q, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -8 + 5 - (5 - 9).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 153*k**2 - 2*k**3 - 254*k + 250*k + 122*k**2.\nAnswer: -2*k**3 + 275*k**2 - 4*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = -4*f**3 + 283*f**2 + 2959*f + 77. Calculate v(80).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = j**2 - 2*j + 47. What is the remainder when d(0) is divided by (6\/(-5))\/((-12)\/80)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = -5*b**3 + 8*b**2 - 30. Is q(-7) a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 25 - 17. Suppose -66 = -b*o + 5*o. What is the remainder when 86 is divided by o?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = j**2 - 3*j - 2. Let m be r(4). Solve -m = 4*p - 14 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of ((-92)\/216)\/(6\/18) and 25\/54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*b = 3*r + 7, 233*r + 3*b = 234*r - 1 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand -1 - 2*d**2 - 4 + 3 + (4 - 4 - 3*d)*(6*d - 5*d - 3*d).\nAnswer: 4*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -2\/23, 2\/11, -1, 8?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2\/1*-3*16\/24?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 91427*d**4*u**2 + 105625*u**2 wrt d.\nAnswer: 365708*d**3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 3813963\/145 - 26303. Let f = 6\/29 + y. What is the closest to f in 2\/7, 3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.1 + -0.6. Let g = 3.827 - 3.8. Let u = g - 0.227. Is z smaller than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -31\/552253 and 14\/23.\nAnswer: 552253","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 13572764 to the power of 1\/6, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -40*o + 42*o + 4 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) be the third derivative of -t**6\/30 - 121*t**5\/5 - 181*t**4\/3 - 13229*t**2. Factor i(f).\nAnswer: -4*f*(f + 1)*(f + 362)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 55\/4 of a millisecond in microseconds?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide -132 by -3.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1203*c + 1214*c - 1 + 1.\nAnswer: 11*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let -5*l**2 - 395*l - 5040 = 0. What is l?\nAnswer: -63, -16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p - 14391 = -25*p. Calculate the highest common divisor of 78 and p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = -2*a**3 + 15*a**2 + 29*a - 132. Calculate g(7).\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 10 + -15. Let d = -4 + 1. Let r be 2*(0 - -1) - d. Sort j, -2, r.\nAnswer: j, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 1041*j**3 + 739*j**2 + 53*j - 13639 wrt j.\nAnswer: 6246*j + 1478","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 2541724 (base 9) to base 15\nAnswer: 1c5894","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 57951816 greater than 57951816?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 55836 to the power of 1\/3, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -3, -0.03, -2?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = -7*j - 3. Suppose 2*c - 16 + 2 = 0. Suppose -z = -2*f - 8, -c - 3 = 3*f - z. Determine s(f).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 3\/10 of a millennium?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -t + 21359*t**2 + t + 8855*t**2.\nAnswer: 30214*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -15*f - 5 + 3 + 2.\nAnswer: -15*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/5 in 12, 1\/3, -5112, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 0.5057855 and 197.07109?\nAnswer: 196.5653045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 7.2?  (a) -1\/161  (b) 7  (c) -2\/433\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = -a**2 - 14*a - 14. Let f be z(-12). Let c = f - 10. Factor 7\/3*x**3 + c - 5\/3*x**2 - 2\/3*x.\nAnswer: x*(x - 1)*(7*x + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ief when three letters picked without replacement from {e: 4, g: 4, f: 2, i: 1}.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 692627.3 kilometers to nanometers.\nAnswer: 692627300000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 187013359 is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -20 + -1120?\nAnswer: -1210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find k such that 3*k**3 - 19530*k**2 - 1616589*k - 33243456 = 0.\nAnswer: -41, 6592","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round 282646000 to the nearest one million.\nAnswer: 283000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = -3*y - 35. Let n be s(-13). What is the hundreds digit of (3 - (8 - n)) + (-187)\/(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (23*4\/16)\/(6\/48). Suppose -61*j + h*j = -2430. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = -t**3 - 35*t + 67 - 7 + 25*t**2 + 33*t. Let y be x(25). Suppose -y*b + 104 = -226. What are the prime factors of b?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 15636, 62840, 141614, 251958, 393872, 567356?\nAnswer: 772410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(-2\/7))**(-1\/13)*r*((r\/r**(-9))\/r)\/r*r**6 assuming r is positive.\nAnswer: r**(1367\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-9)\/(5 - (-85)\/(-20)). Let g be (v\/7)\/(12\/(-42)). Suppose -w = -4 - 5. Which is greater: g or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -6540306, -13080612, -19620918, -26161224, -32701530, -39241836?\nAnswer: -45782142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -31.3 + 174.3. Let x = j - 148. Which is the second smallest value?  (a) x  (b) 3  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*c - 26*c = -10450. What are the prime factors of (c\/(-15))\/11*1863\/(-15)?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 35\/57 and -127\/18.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = v**3 - 6*v**2 - 3. Let l be x(6). Let g(j) = j + 10. Let k be g(l). Is 15 bigger than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) be the first derivative of 8*q**6\/15 + 56*q**5\/25 + 57*q**4\/20 + 19*q**3\/15 + q**2\/5 + 45. What is t in s(t) = 0?\nAnswer: -2, -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-140)\/(-8))\/(317\/(-634)).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = 2*t - 12. Give p(8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(1\/30)\/(h\/(h\/(h\/(h\/(h*h\/(h\/(h\/h**(-1\/7))))*h)))))\/(h\/(h**9\/h))**(-7\/6) assuming h is positive.\nAnswer: h**(-974\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 23862 and 16005?\nAnswer: 1312410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 308, 1183, 2574, 4427, 6688, 9303, 12218, 15379?\n\"Answer: -9*q**3 + 312*q**2 + 2*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {z: 4, e: 14}. Give prob of sequence ezz.\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = -2*v - z + 3, -4*v - z + 9 = 0. Let m be 2 - 2*(-2 - -1). Put m, v, -2 in ascending order.\nAnswer: -2, v, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = -26614*k + 4. Let r be i(-4). Let d = r + -75460. Round d to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (2 - 6) + 0 + -12. Let b be (-1 - 21\/9)*(h - -13). Let f(i) = -3*i + 48. Calculate the remainder when 53 is divided by f(b).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 404671*m = 405198*m - 35309 for m.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -w + 9 = -x, 8*x - 7*x = 5*w - 21 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 47\/4 of a gram in milligrams?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 3541463 divided by -223?\nAnswer: -15881","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.5 and -391538?\nAnswer: -195769","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 1860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -2 - -1473?\nAnswer: 1471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6913683 is divided by 3394.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 4967 - 4971. Which is the second smallest value?  (a) o  (b) -3  (c) -884\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 17561260 + 0.07734312.\nAnswer: 17561260.07734312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.012 times -1.28?\nAnswer: -0.01536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: (-256)\/504 + (-8)\/(-28)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 80 - 66. Find the first derivative of -48 + 17 - t*o**4 - 8*o**4 wrt o.\nAnswer: -88*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pppp when four letters picked without replacement from ipppppip.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 7765388 divided by -6\nAnswer: -3882694\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (1 - 0)*26\/39. What is the third smallest value in 0, v, -1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 9 (base 12) to base 11\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/2781443 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 69 - 70. Let k(d) = -6*d**3 - 2*d**2 - d. Determine k(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 40548 and 2180?\nAnswer: 436","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 27*v - 13*v + 15 - 12*v to f*v + x and give x.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = -516*d - 142. What is the hundreds digit of w(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 5135*m**5 + 9248*m?\nAnswer: 102700*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = 8*c**2 + 2*c - 33. Is j(31) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -45*c - 46*c + 3*c**2 - 11 + 94*c to the form n*c + p*c**2 + s and give s.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 153*f*p**2 + 2*f*p - 215*f - 423035*p**2 + 11639*p - 4 wrt p.\nAnswer: 306*f - 846070","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = -z + 176. Let m(l) = 13*l**2 + 2*l. Calculate m(y(i)).\nAnswer: 13*i**2 - 4578*i + 403040","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -20 - -10 - (-6 - (-2 + -2 - -4)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-65)\/39*-14 - 140\/60?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16081 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = 741*l - 241. Let f(w) = -15*w**2. Determine b(f(t)).\nAnswer: -11115*t**2 - 241","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = -11*g**3 - g + 2. Let o be b(1). Calculate the common denominator of -59\/8 and ((-2)\/o)\/(2\/365).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*y + 30*i = -280, 99*i + 30 = 2*y + y + 94*i for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 44 - 42. Find the second derivative of 25*x - 8*x**2 - x**2 + 4*x**z + x wrt x.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12*y - 1747*y**2 - 3*y**3 + 22*y - 10*y.\nAnswer: -3*y**3 - 1747*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -43983 and 2821806?\nAnswer: 2865789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 340 + -234. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-26)\/8 + 1*(-1)\/(-4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 2\/(-1)*(-12)\/24. Which is the fourth biggest value?  (a) m  (b) -2  (c) -1\/4  (d) 0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 469501\/6 or 1\/31?\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = y**3 + 7*y**2 + 3. Let m be t(-7). Solve 0 = x + m for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o**3\/6 - 565*o**2\/2 - 33551*o\/6 - 28475\/2 = 0. Calculate o.\nAnswer: -1675, -17, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 4 + -7. Let f = -7 - c. What is the remainder when 23 is divided by (f\/(-8))\/(1\/24)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/13 in 0, -0.3, -3, -4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) be the second derivative of -38*r**6\/5 + 5*r**4\/6 - 9*r + 7. What is the third derivative of n(i) wrt i?\nAnswer: -5472*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = 2*u - 3. Let z(f) be the second derivative of f**3\/3 - 2*f**2 - 9*f + 1. Suppose 0 = 3*k + 2*d + 4, 0 = 4*d + 11 + 9. Give k*z(p) - 3*q(p).\nAnswer: -2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (f**3 - 2*f**3 - 2*f**3)*(787 + 658 + 309).\nAnswer: -5262*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -391 - -865. Suppose 3*k - 5*k + z = 0. Suppose 3*j + 2*w = k, j + 2*w - 106 + 27 = 0. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find w such that 2*w**5 - 58*w**4 - 790*w**3 - 3438*w**2 - 6372*w - 4320 = 0.\nAnswer: -3, -2, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 + (2 - (-2)\/1 - -42) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = -p**3 - 86*p**2 - 160*p + 674. Let r be y(-84). Solve -n - r*n = -12 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -2, -4\/9, -2\/9, 0.29, 6.3, -3, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + sqrt(243) + (sqrt(243) - (sqrt(243) - ((sqrt(243) - 2*sqrt(243)) + 4) - sqrt(243))) + (sqrt(243) + sqrt(243) + -5 + 4 - sqrt(243)))**2.\nAnswer: 36*sqrt(3) + 973","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(153) + (sqrt(153) - sqrt(153)*-1))*4 + (sqrt(153) - (sqrt(153)*2 + sqrt(153))*2))\/((1*sqrt(864))\/sqrt(6)).\nAnswer: 7*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -873*v + 881*v + 25 = 3*f, -5*v + 5*f - 25 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*c + 2 + 6. Is ((-1676)\/(-8))\/(c\/8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (224*q**2 + 610*q**2 - 58*q - 2*q**3 + 2 - 833*q**2)*(q - 5*q + 6*q) in the form y*q + u*q**3 + l*q**4 + v + f*q**2 and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 29372, 58743, 88114?\nAnswer: 117485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.1631 to 1 decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence uoi when three letters picked without replacement from iuoosoossso?\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 414 a factor of 2875644?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 415.94 + 31.143\nAnswer: 447.083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = 46*x**3 + 53*x**2 + 632*x + 2. Let s(k) = -47*k**3 - 64*k**2 - 631*k - 2. Let t(b) = 6*o(b) + 5*s(b). What is the second derivative of t(c) wrt c?\nAnswer: 246*c - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/10 of a decade in months?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = 2802*m - 266189. Determine b(95).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xgxx when four letters picked without replacement from ggxxxxggxxgxgxgxgggg.\nAnswer: 77\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 5819.501 centuries?\nAnswer: 581.9501","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = 18*j - 544. What is the remainder when j is divided by 26?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 18530*c - 9439*c - 9582*c + (2*c + 0*c - 5*c)*(2 + 0 - 4).\nAnswer: -485*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 - (1 - (11 + -7 - 22))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = o**3 + 5*o**2 - 14*o - 3. What is y(4)?\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = 55*y**3 + 1210*y**2 - 5*y - 100. Calculate l(-22).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 328*p - 329*p = -1. Is ((-238)\/28)\/((-123)\/120 + p) a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 630 minutes after 9:55 PM?\nAnswer: 8:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 1, c: 4, x: 3, n: 1, y: 6, j: 5}. What is prob of picking 2 j?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) be the first derivative of -r**4\/4 + 16*r**3\/3 + 17*r**2\/2 - 7. Let p be l(17). Solve 2*n = -2 - p for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*x**3\/11 + 24*x**2\/11 + 126*x\/11 - 540\/11.\nAnswer: -2*(x - 15)*(x - 3)*(x + 6)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = -4. Let m(w) = -7*w + 12. Determine -3*m(p) - 6*n(p).\nAnswer: 21*p - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 8 - 7.9. Let d = 280 + -650. Let r = d + 369.96. Is r != n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 336031937 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 1, b: 1, o: 1, m: 1, p: 1, r: 6}. What is prob of picking 1 o, 1 m, and 1 b?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-6)\/(-4)*(1 - -1). Suppose -2*d - 1 + 3 = 4*h, -3*h - 3*d - l = 0. Calculate the least common multiple of 6 and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 13 + -10. Suppose 2*z - i + g = 0, 2*z - 5*i + 4 = -11. Sort z, 4, 5 in increasing order.\nAnswer: z, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(1\/5)*z*z)**(2\/19)*z\/z**(2\/3)*z*((z*((z\/(z*(z*z**7)\/z*z))\/z)\/z)\/z)\/z assuming z is positive.\nAnswer: z**(-2689\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1074766 and 11858?\nAnswer: 1078","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 49, 52, 55?\n\"Answer: 3*v + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*i - 2*m = -m - 19, -2515*i + 4*m - 13 = -2514*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 844758 and 4899?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1188 and 30213?\nAnswer: 1329372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = 2*y. Let n(m) be the second derivative of 23*m + 0 + 5\/6*m**3 + 0*m**2. What is r(n(u))?\nAnswer: 10*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 119620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2 - 2 - 2 + (1 + 0 + 0)*(-1 + 2 - 2) + 1 + 0 + 1 - 2 + 0 + 1 + 2 - 4 + 1)*(-130*z**3 + 548*z - 548*z) to j*z**2 + v + u*z**3 + l*z and give u.\nAnswer: 390","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 + (-1 - -5 - (-21 + 20)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.1465 - 0.2665. Is z < -123?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -6 - 0. Let c be -8 - ((-3)\/(-36)*10)\/((-30)\/180). Put o, c, 0 in ascending order.\nAnswer: o, c, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = g**3 - 9*g**2 + 16*g - 42. Let i be m(8). Suppose 0 = -18*w + i*w - 508. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.03155537 rounded to one decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {n: 2, c: 6, u: 4}. What is prob of sequence uunn?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 147\/5 + -29. What is the fourth smallest value in -3, -2, i, -0.2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2 + sqrt(2057) - sqrt(2057)) + sqrt(51)\/(sqrt(3) + sqrt(12)))**2.\nAnswer: -4*sqrt(17)\/3 + 53\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 61370 rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = -2*w - 3. Let l(f) = f + 1. Let h be 12\/(-7) + 2\/(-7). Let v(t) = h*j(t) - 6*l(t). Let p(c) = 0*c**2 + 2*c**2 + 0*c**2. What is v(p(o))?\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1190 divided by 5.\nAnswer: -238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = y**3 + y**2 + 3*y. Let d be h(5). What is the greatest common divisor of d and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h - 46*s - 789821 = -43*s, 3*h - 592371 = 4*s. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s + 3*g = -3*s + 4012, -5*s + 20070 = 5*g. Let y = s + -40219\/10. Find the common denominator of 53\/4 and y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = -21 - g**2 + 2*g + 20 + 2*g. Let n be r(1). Let w = -3 + 6. Sort n, w, -1.\nAnswer: -1, n, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 8.1, 4, -9165\/8, 6.\nAnswer: -9165\/8, 4, 6, 8.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -104347561 from 8036588.\nAnswer: 112384149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*r - 17 = 247. Let n be 1243\/r*(6 + -2). Round n to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 2b + 5?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 117*u**3 + 21*u**3 - 4*u**3 + 104 with respect to u.\nAnswer: 402*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -6, -27, -62, -111?\n\"Answer: -7*b**2 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 91 and 39?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is -23303770 greater than -23303770?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -23, -52, -105, -188, -307?\n\"Answer: -z**3 - 6*z**2 - 4*z - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3136*i**3 - 822192*i**2 + 53058681*i + 109431218 = 0 for i.\nAnswer: -2, 7397\/56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 596 minutes before 5:19 AM?\nAnswer: 7:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) be the first derivative of -4*q**5\/25 - q**4\/5 + 8*q**3\/15 + 103. Factor x(j).\nAnswer: -4*j**2*(j - 1)*(j + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -33*z + 28*z + 25. Solve 0 = 3*w + 5*l, 0 = -z*w + 3*w - 4*l for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = -s**2 + 5*s + 7. Let l be t(6). Let q = 134 + -58. Let a be 5 - -46*q\/(-696). Which is greater: a or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*l + 2*n = -3*l + 16, 4*n - 22 = l. Let r be (9 + 2 + l)*5. Calculate the greatest common factor of r and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*i**5 + 198*i**4 + 4992*i**3 + 58368*i**2 + 294912*i + 393216.\nAnswer: 3*(i + 2)*(i + 16)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -24029716 divided by 6007429?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((b\/(b*b**(-1\/5)*b))\/(b\/(b**(-5\/6)*b)))\/(b**7\/(b*b**(-7\/6)*b*b)))**(34\/5) assuming b is positive.\nAnswer: b**(-1156\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -4151.07 and -4.366639?\nAnswer: 4146.703361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (316*f + 422*f - 584*f)*(-3 - 2 + 4).\nAnswer: -154*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 707.\nAnswer: 7, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:48 PM and 4:42 AM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 22 + -3058517?\nAnswer: -3058495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = -g**3 + 74*g**2 + 20*g + 4123. What is t(75)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 10650 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 93209998 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 7*b*f**2 - 9*b*f + b + 21*f**4 - 2*f wrt f.\nAnswer: 14*b + 252*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w = -13 + 88. Suppose -c + 6*c = w. What is the remainder when 7 is divided by c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = 3499*s**2 + 14*s + 15. List the prime factors of c(-1).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -2 - -12. Let m = 8 - h. Let i be (1\/2)\/((-2)\/4). Sort -3, i, m in ascending order.\nAnswer: -3, m, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2450973 is divided by 54?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = 4*t**2 - 8*t + 15. Let v be b(2). Let i(s) = -s**3 - 4*s**2 - 5*s - 4. Let x be i(-3). Solve -v = u + x*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -20*a + 21*a = 28 for a.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 13430 + -13446. Which is the second smallest value?  (a) 18  (b) o  (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -28891, -58679, -88495, -118345, -148235, -178171, -208159?\n\"Answer: -c**3 - 8*c**2 - 29757*c + 875","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*g - 2*g + 4*g + (5 - 5 - 1)*(-7*g + 3*g - 9*g) + 4*g - g - 5*g.\nAnswer: 13*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -315 or -28032\/89?\nAnswer: -28032\/89","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2 - 4 + 4)*(-6 - 4*y + 6) + 5*y - 4*y + 0*y - y - y + 0*y to c*y + t and give c.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((m**(-17)\/m*m)\/(m**(2\/5)\/m))**(2\/79))**(-9\/2))**34 assuming m is positive.\nAnswer: m**(25092\/395)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*c - 4*c - 12. Suppose -3*d - 175 = -4*u + 257, -2*u = 2*d - 216. Calculate the highest common factor of u and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from ddddddd?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(165)\/(sqrt(20)\/sqrt(4))*-2)\/(sqrt(22)\/(sqrt(98)*3)).\nAnswer: -42*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z*z**(-3\/7)*((z*z**(-3)\/z*z*z*z)\/z)\/z)**(-2\/101))**(10\/9) assuming z is positive.\nAnswer: z**(200\/6363)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) 5  (b) 0  (c) 0.3  (d) 0.198  (e) -3\/7  (f) 0.025\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*b - 2*b = -o - 4, 4*o = b - 2 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 857*c**6 + 1400*c**5 + 291*c**2 - 1196.\nAnswer: 102840*c**3 + 84000*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 648 (base 11) to base 3.\nAnswer: 1001211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -27*p**2 + 27*p**2 - 212*p**3 + 231*p**3.\nAnswer: 19*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 47, 144, 297, 500, 747, 1032, 1349, 1692?\nAnswer: 2055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 141 minutes after 12:52 PM?\nAnswer: 3:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 39114 is divided by 59?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 652*k = 650*k + 2396. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(5\/6)\/(f**6*f))**(-1\/57) assuming f is positive.\nAnswer: f**(37\/342)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2)\/(24\/5))\/(3420\/(-1368))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -59 - -79. Suppose 120 = 5*f - y. What is the remainder when 137 is divided by f?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h = 7*h - 10. Suppose -x + 4 = 0, h*j + 3*j + 3*x - 22 = 0. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6739 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = 3*r**3 - r**2 + 2*r - 12. Let n(z) = -z**3 - 13*z**2 - 10*z + 139. Let g be n(-11). Is 67 a factor of s(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 + -1 + (-21 - -29)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 0.3709+60744.91561\nAnswer: 60745.28651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.08, 5, 0, -0.6.\nAnswer: -0.6, -0.08, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (113*i + 124*i**4 - 113*i)*(i - 2*i + 0*i + 3*i - i - 5*i + (-2*i - 1 + 1)*(-3 + 4 + 1) + 2*i + 1 - 1).\nAnswer: -744*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is u in u**2\/6 + 35*u\/3 + 1225\/6 = 0?\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = -5*u - 16. Let m(b) = -b - 7. Let c be m(u). Is (0 + -49)*2\/c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1879745 divided by -7\nAnswer: -268535","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 106.89 + -107. What is the third smallest value in -0.04, 5, f?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = t**2 - 2*t + 2. Let n(l) = 121*l**3 - 5*l**2 + 345*l - 12. Let a(v) = -6*f(v) - n(v). Find the second derivative of a(s) wrt s.\nAnswer: -726*s - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is t in -91*t**3 + 6*t + 5*t**5 - 17*t**2 - 7*t**5 + 99*t**3 + 0*t**5 + 5*t**4 = 0?\nAnswer: -2, 0, 1\/2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -71\/352824 and -47\/162?\nAnswer: 9526248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 39201149172578 - -4?\nAnswer: 39201149172582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) be the third derivative of w**6\/360 - w**5\/24 - w**4\/8 + 4*w**3 + 7*w**2. Let x(n) be the first derivative of o(n). What is x(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3241*a - 4207 = -17171 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 6167  (b) 2.6  (c) -2  (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = -s**3 - 28*s**2 - 26*s + 29. Let m be n(-27). Suppose -5*p = -0*p + 2*v - 37047, m*p = -v + 14818. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -a (base 12) to base 4\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 177 divide 3466191?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -112273*k + 112278*k = 55 for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (72\/1008)\/(272\/(-60)*(-6)\/(504\/30)).\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1730a (base 15) to base 3.\nAnswer: 10210210101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 45\/9328 and -73\/6996?\nAnswer: 27984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = -5*b**2 - 2*b + 2. Let h(y) = 6*y**2 + 3*y - 3. Let f(q) = 2*h(q) + 3*p(q). Let r(g) be the first derivative of -3\/2*g**2 + 0*g - 2. Give f(r(u)).\nAnswer: -27*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*d - 6*d - 4*u - 1, 7 = -d - 3*u. Suppose -d*v = 5*c - 7375, -3*v + 7377 = 2*v + 4*c. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 9736, 10000, 10252, 10486, 10696, 10876, 11020?\n\"Answer: -w**3 + 271*w + 9466","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 63 divided by 63\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-343)\/(-4802))\/(2\/196)*7.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -168 - -173. Put 2, 1, l, -4 in decreasing order.\nAnswer: l, 2, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 9010951?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 423 minutes after 6:48 AM?\nAnswer: 1:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 15210 - 15209.8. What is the closest to 1\/8 in 64, h, -3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 202.9 + 5\nAnswer: 207.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Does 34 divide 1660?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w\/w**(-10))\/w**(-14))\/(w*w**(-10\/7)*w\/(w**(-1)*w)) assuming w is positive.\nAnswer: w**(171\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = -2*k + 7*k**2 - 8 + 0*k**2 + k**3 + 4*k - 11*k. Give v(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 553728.7um to kilometers.\nAnswer: 0.0005537287","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 0.02  (b) 3  (c) -110  (d) 4  (e) 2  (f) -2227\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 < 35?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 865\/12 + -6565\/84. Find the common denominator of ((-6)\/(-30))\/((-24)\/(-1070)) and j.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 - 5 - 1 - (-90 - (-177 + -43))?\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 52 - 6. Let m = n + -33. Is m at least as big as 13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = -2*d + 1. Let k(w) = 38*w**2 - 7*w - 30. Let v(h) = -k(h) + 5*z(h). What is the derivative of v(x) wrt x?\nAnswer: -76*x - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*-5*(sqrt(11) + (sqrt(55)\/sqrt(5))**2) + 0.\nAnswer: 10*sqrt(11) + 110","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -558337.22117 + -0.0356?\nAnswer: -558337.25677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 367 + -363. Suppose 0 = -4*b + 2*n + 598, -y*b = -5*n - 260 - 329. List the prime factors of b.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-288)\/(-504)*((-53)\/3 - (-2)\/12).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -0.2, 6, -674, 1\/4, -9 in ascending order.\nAnswer: -674, -9, -0.2, 1\/4, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 93265515103 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.1 + 0.1. Let l = -2878.019 - -2878. Which is smaller: u or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:25 PM and 4:04 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = x**3 + 4*x + 3*x - 4*x + 1 + 6*x**2 + 2*x. What is the tens digit of b(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-54)\/63)\/(4\/(-14)). Let f(t) = -t - 2. Let a(h) = h + 1. What is r*f(z) + 6*a(z)?\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.8673cm in nanometers?\nAnswer: 38673000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 18 divide 491958?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*c**2\/7 + 60484*c\/7 - 60486\/7.\nAnswer: 2*(c - 1)*(c + 30243)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -20\/3 + 19\/3. Is -1\/18 less than or equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-2)\/(-3)*(-3)\/4. Let w = -5 - -1. Let x = 4.1 + w. Which is the nearest to x?  (a) 0.5  (b) 2\/7  (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gggg when four letters picked without replacement from {n: 1, g: 11}.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-13)\/((-39)\/(-4))*135\/(-18)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = -q. Let d(r) = 1148*r. Determine c(d(a)).\nAnswer: -1148*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xivytyw. What is prob of sequence yx?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 79 + -42. Suppose 3*s = 2*c - 0 - 1, 4*s = -5*c + u. Is s\/(-9)*-3*7 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 88 and 316385586.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -175808 divided by -482.\nAnswer: 87904\/241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(4*sqrt(52)\/sqrt(4) + 5 + sqrt(13) + 2*sqrt(13) + (4 + sqrt(13)*1*1)**2 + -3).\nAnswer: -45*sqrt(13) - 93","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 6 in -1, -0.7, -0.1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*n - 195*n**2 - 181*n**2 + 355*n**2.\nAnswer: -21*n**2 - 5*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 2067 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 11 and 77605.\nAnswer: 77605","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1.1?  (a) -0.02  (b) 6091  (c) 1  (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -199*t - 1742 = -65*t for t.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -107\/252 and 107\/16920?\nAnswer: 118440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*y = 8*y - 4*y + 75548. Is y bigger than 6869?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 233 (base 10) to base 12\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.6117759 to one dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 20 is divided by 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 794 + 19677*w**3 + 786 - 19674*w**3 - w - 1580.\nAnswer: 3*w**3 - w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 3 + (6 - 2) - 4\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) be the third derivative of 0*f + 0 + 1\/210*f**7 - 1\/60*f**6 + 1\/24*f**4 - 1\/30*f**5 + 1\/6*f**3 - 5*f**2 + 1\/336*f**8. Find q such that v(q) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -8604 + 11324. Does 16 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 66.46597ug in grams?\nAnswer: 0.00006646597","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express (-11*b + 3*b - 16*b)*(-2*b + 3*b + 0*b) in the form a + w*b**2 + x*b and give w.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 49302 - -808?\nAnswer: 4a00a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 0 - -124?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*y**3\/7 - 23439*y**2\/7 - 46857*y\/7 + 70299\/7 = 0 for y.\nAnswer: -7811, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = 3*g**3 - 4*g**2 - 9. Let h(t) = -100*t**3 + 23*t**2 + 92*t**3 + 26 - 12*t**2. Calculate -4*h(a) - 11*j(a).\nAnswer: -a**3 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = -u + 2. Let l(f) = 3*f + 7. Let a be l(-4). Let k = a + 27. What is the least common multiple of z(0) and k?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 216*26.\nAnswer: 5616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -33305368 + 208091950613\/6248. Let s be 0 + (569\/(-568) - -1). Let v = z - s. What is the common denominator of 7\/9 and v?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((3*r - 4*r + 5*r)*(3*r - 3*r + 3*r) + 0*r**2 - r**2 + 0*r**2)*(-2 + 1 + 2 + (-2 + 1 + 3)*(-2 + 5 - 2)).\nAnswer: 33*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2276*w = 2261*w - 360 for w.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -11 + (5 - 0) + 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -24026.10332 take away 175.983?\nAnswer: -24202.08632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*u + u**3 + 3*u + (4*u + 3*u + 0*u)*(8 + 1 - 3)*(-1 - 2 + 0)*(-2*u + 2*u**2 + 2*u).\nAnswer: -251*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 360 minutes before 3:38 AM?\nAnswer: 9:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.6 - 0.6. Suppose -1 = 4*h - 4*a - 5, -h + 1 = -4*a. Sort -5, s, h in increasing order.\nAnswer: -5, s, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4*s**4 - s + 111*s**2 + 34*s**3 + 1 - s**4 - 2*s**4 - 111*s**2 to g*s**4 + f*s**3 + t*s**2 + p + r*s and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 22243\/80 + -278. Let a = t + 151\/240. Let k = -5447.7 + 5448. What is the closest to 1\/2 in k, -2\/5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -4 - ((-2 - 0) + -2). Suppose -56 = -2*n - q*n. What is the second derivative of -n*f**3 + 3*f + 6*f + 23*f**3 wrt f?\nAnswer: -30*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-183 + 165 - -46) + 17 + 1?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y + 7*y = 2*o - 102, -4*y - 143 = -3*o. Let c = 49 - o. Let n(a) = -a**2 + 9. Let h be n(0). Is h at most as big as c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -38 - 40?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 8 - 2 + 1 + 0 + 1 - 3 + 2 + 0 + (1 + 4 - 4)*(1 - 1 - 1))*(4*v**2 + 2*v**2 - 4*v**2).\nAnswer: -16*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Work out -15155.4 + -2.\nAnswer: -15157.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = -u**3 + 3*u**2 - 3*u + 5. Suppose -10*c + 4*r = -5*c - 35, -5*c + 40 = -5*r. What is a(c)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 38.2 take away -33?\nAnswer: 71.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -29568 = 5668*c - 186812 - 69476 for c.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 25059124 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 336\/224*1\/((-45)\/6). Put -0.4, f, 296 in ascending order.\nAnswer: -0.4, f, 296","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2121, 5765, 11831, 20319, 31229?\nAnswer: 44561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 149 minutes before 4:49 PM?\nAnswer: 2:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 204976368 divided by 796?\nAnswer: 257508","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 23329432?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 7, k: 6, t: 1}. What is prob of picking 2 k?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 23671191?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert 201 (base 4) to base 15.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**16)**(-24) assuming p is positive.\nAnswer: p**(-384)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 1, b: 6, c: 4, g: 3, t: 2, d: 2}. Give prob of sequence gb.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1506 is divided by 1410?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = 2*r**2. Let l = 22 - 21. Let w = 6 - 1. Let s(d) = -2*d**2 - 5*d - 5. Let j(x) = -x**2 + x + 1. Let z(q) = l*s(q) + w*j(q). Calculate z(a(f)).\nAnswer: -28*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = -7*y**3 + 7*y**2 - 6. Let l(b) = -b**3 + b. Suppose s = 2*s, -w - 3*s + 6 = 0. Let m(h) = w*l(h) - j(h). What is the units digit of m(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = -6*z - 2. Give i(4).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let -7*v**4 + 352*v**3 - 2743*v**2 - 19338*v - 23256 = 0. What is v?\nAnswer: -3, -12\/7, 17, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 1\/6, 2, 4, 269\/7?\nAnswer: 269\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r = -26 + 6, 5*l - 16 = 4*r. Solve 65 = -l*n + 13*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = -s**3 + 3*s**2 + 40*s + 24. Calculate m(6).\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-4)\/8)\/(9\/(-6))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-13)\/(-26)*(9\/(-6))\/(-3)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -41 + 1 - (1 - -7 - (899 + -878))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 4436771 divided by 6?\nAnswer: 4436771\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -150 divided by 50.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1892 + -1721. Calculate the lowest common multiple of 60 and r.\nAnswer: 3420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -30 + 45. Let c = n - 15. Solve -2*g + 3*b + 8 = -0*g, c = -5*g + 5*b + 15 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 892873 to the power of 1\/2, to the nearest integer?\nAnswer: 945","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*u - 4*u + u)*(2*u**2 - 4*u**2 + 4*u**2) + u**3 + 0*u**3 + 4*u**3 + (u + 2*u - 2*u)*(3*u**2 - 4*u**2 + 3*u**2) + u - u - u**3.\nAnswer: 4*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0 from -1136293643642.\nAnswer: -1136293643642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 19*z = -6185 + 6679 for z.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 36, 3, 1, 2, -31 in ascending order.\nAnswer: -31, 1, 2, 3, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 472 take away 1.676?\nAnswer: 470.324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 5 - -426?\nAnswer: 434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 39150.\nAnswer: 2, 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = -33117*c - 1490242. Calculate j(-45).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000232 rounded to 5 decimal places?\nAnswer: -0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -9465, -18199, -26913, -35601, -44257, -52875, -61449?\nAnswer: -69973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out -56200 - -382406002.\nAnswer: 382349802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000000110892 to seven decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -65*p**2 - 33*p**2 + 42*p**2 - 11*p**2 to t + b*p**2 + r*p and give b.\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o - 6 = 3*z + 8*o, 5*z - o - 8 = 0. Suppose -10 = t - 38. Suppose -4*r - t = -8*r. Solve -x - z = -j, 3*x + 5*j + r = 28 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 254362584 to the nearest integer?\nAnswer: 15949","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 5 - 4*p**2 - 12*p**2 + 24 wrt p.\nAnswer: -32*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 101 is divided by 36?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = d + 1. Let q(h) = h**3 - 60*h**2 - 188*h - 1. Let u be q(-3). Let k(p) = -4*p + 5. Give u*c(x) + k(x).\nAnswer: -8*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = -m - 1. Let c(l) = 5. Determine -2*c(a) - 10*q(a).\nAnswer: 10*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) be the second derivative of s**7\/14 + 2*s**6\/5 + 3*s**5\/5 - s**4\/2 - 5*s**3\/2 - 3*s**2 - 6*s. Factor a(d).\nAnswer: 3*(d - 1)*(d + 1)**3*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 109\/20994 and -77\/8.\nAnswer: 83976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-84 - 176 - 583)*((-2*h - h + h)*(-2 + 3 + 0) - 5*h + h + 3*h).\nAnswer: 2529*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort -9, -3, 31, -1, 3 in decreasing order.\nAnswer: 31, 3, -1, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 1.46, 22.5, 2\/7, -5, 0.371?\nAnswer: 0.371","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 12 - 4 - 5 - -1. Which is the nearest to -1?  (a) -3\/5  (b) -0.3  (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -165655, -165405, -165155, -164905?\n\"Answer: 250*d - 165905","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -21 + 21. Suppose 4*l + 4*u = -l - 2493, -l + 3*u - 491 = y. What are the prime factors of 32\/(-176) + l\/(-11)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 q and 1 u when three letters picked without replacement from {u: 3, q: 11}.\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 11644.12 + -11644. What is the closest to -0.2 in g, -3, 3, -8?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = -v + 3. Let f(x) = -x + 1. Let m(d) = 2*f(d) + 2*i(d). Let o be m(2). Which is smaller: 10\/7 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = -y**3 + 7*y**2 + 10*y - 11. Let z be 25\/3 + 2\/(-6). Let d be r(z). Suppose 12 = -3*k, 4*o + 0*o = d*k + 20. What is o rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = -h**2 + 30*h + 59. What is the units digit of z(20)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 25 and 325.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 n and 1 d when four letters picked without replacement from {v: 8, n: 4, d: 2, b: 1}.\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -2607825, -2607826, -2607827, -2607828, -2607829?\n\"Answer: -k - 2607824","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u = 3*s - 0*u - 44892, -s + 4*u = -14954. List the prime factors of s.\nAnswer: 2, 7481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*i**3 + 415668*i**2 - 27831800*i.\nAnswer: -4*i*(i - 103850)*(i - 67)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*q + 0 + 1 = 4*q - 4*q + 4, 0 = -3*b + 32*q + 17 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*v**3\/3 + 472*v**2 - 349208*v\/3 + 230912 = 0. Calculate v.\nAnswer: -902, 2, 192","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 2626509229 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 2, n: 2, l: 3, f: 2, s: 1, r: 2}. What is prob of sequence sn?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 29518017.\nAnswer: 3, 9839339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1954116 - 8195884 = -5*n. Round n to the nearest one hundred thousand.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -572*n + 4221 = 684 - 467 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*k**3 - 9652*k**2 - 145202*k - 135548.\nAnswer: 2*(k - 4841)*(k + 1)*(k + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -4  (b) 789\/29  (c) 12  (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = -8*o + o - 2*o. Let u be -2*(39\/(-6) + 1). Let b(t) = -22*t**2 + 12*t**2 + u*t**2. Calculate f(b(w)).\nAnswer: -9*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: ((-4)\/6*3)\/((-330)\/22)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 430 minutes before 10:38 AM?\nAnswer: 3:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*d**2 - 2*d**2 + d**2)*(102*d**3 - 2*d**3 + d**2 - 134*d**3 + 50*d).\nAnswer: 34*d**5 - d**4 - 50*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 4791273.935781 + -4791272. Let a = n - 1.935. Round a to 4 decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3 by 41.\nAnswer: 3\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -418293798314 less than -279?\nAnswer: 418293798035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -4.1 take away -5643846?\nAnswer: 5643841.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = 4*x + 3. Let j(c) = c + 1. Let b = -8563 - -8569. Give b*j(a) - 2*d(a).\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) be the third derivative of -c**8\/336 - 8*c**5\/5 - c**4\/24 + 19*c**2 + 1. What is the second derivative of a(t) wrt t?\nAnswer: -20*t**3 - 192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) be the second derivative of l**4\/12 + l**3\/3 - 33*l**2\/2 - 14*l. Let r be t(5). Solve 0*u = -r*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -3535\/4 + 872. What is the common denominator of 49\/33 and i?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(243) + sqrt(243)*-1 + -3)*5 - (-4*(sqrt(432) - (1*(sqrt(432) - (sqrt(432) + 2)) + sqrt(432) + sqrt(432))))**2.\nAnswer: -6991 + 768*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -16*k**2*n**2 - 8656*k**2 - 25*k*n**2 - 5*k*n + 5*n + 4 with respect to n.\nAnswer: -32*k**2*n - 50*k*n - 5*k + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor x**4\/3 + 9*x**3 - 1862*x**2 - 322012*x\/3 - 1591288.\nAnswer: (x - 87)*(x + 38)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rquu when four letters picked without replacement from umqeuuruqdmd?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 417, 416, 415, 414, 413?\nAnswer: 412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -466232*-4\nAnswer: 1864928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (76\/(-722))\/(3\/(-114)). Let z(g) = -g**2 + g + 1. Let b(d) = -2*d**3 - 4*d**2 + d + 4. Determine o*z(k) - b(k).\nAnswer: 2*k**3 + 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express 350*o**2 + 110*o**2 + 191*o**2 in the form s + i*o + z*o**2 and give z.\nAnswer: 651","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = h**2 + 7. Let x(f) = -f**2 + 2*f - 8. Let b(k) = 4*v(k) + 3*x(k). Determine b(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = p**2 + 689*p - 495164. Give o(439).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = -k**3 + k**2 - k + 15. Let u be v(0). Suppose -4*f + u + 25 = 0. Let r be 4*2\/4 + f. Solve -3*z + 2*i = 3*i + 8, -2*i - r = 5*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*g - 2*g + 3*g**3 + 90 - 26 + 0*g - 60.\nAnswer: 3*g**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 206\/33 - 316\/33. Which is the nearest to -2\/9?  (a) 15  (b) -4  (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -2\/31  (b) -58\/9  (c) 1\/2  (d) 0.04  (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -848 divided by -5513\nAnswer: 848\/5513","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -7 + -1?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 3966 + -1413. Is l a multiple of 140?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2688767.\nAnswer: 2688767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -41\/1442 and 65\/2884?\nAnswer: 2884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2293725 is divided by 27306?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = -10*y**3 - 74*y**2 - 36*y + 39. Is d(-25) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -36.73 - 0.27. Suppose 4*z + 4*a = -8, -2*a = -5*a. Put z, 2\/3, p, 0.1 in increasing order.\nAnswer: p, z, 0.1, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 71 and 1404167.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 268 is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 143\/3340400 and 99\/112.\nAnswer: 3340400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is -396\/305 less than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = -9*d**2 + 335*d - 189. Is 16 a factor of z(21)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 37694 - 4277.\nAnswer: 33417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 588 minutes before 10:40 PM?\nAnswer: 12:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert -201112002212 (base 3) to base 10.\nAnswer: -384260","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2863 = 230*j + 12293 for j.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 296453, 296512, 296605, 296732?\n\"Answer: 17*y**2 + 8*y + 296428","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*g**3 - g**3 + g**3 - g + g - 2*g**3 + (4*g + g - 3*g)*(g**2 - 5*g**2 + 2*g**2) as n*g**3 + z*g + v*g**2 + q and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p + 102 = 3*n - 26, 15 = 5*n. Suppose -3*a - 47 = -p. Let b be 14 + (1 - 2\/(-2)). What is the greatest common factor of b and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 3, g: 2, a: 2, l: 2}. Give prob of sequence gg.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 22*w + 13*w = 777 - 1162 for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -37 + 51. Let s be c\/77 + (-5304)\/(-110). Let g = 48 - s. Which is smaller: 0 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -123.288 - -2.288. What is the smallest value in v, 2\/3, -5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (4\/(-12))\/(3\/(-18)). Suppose -i = o + m*i + 10, -i = o + 6. Let s = 0.1 - 0.2. Which is the closest to s?  (a) -5  (b) -0.5  (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) be the third derivative of p**5\/40 + 7*p**2. Factor k(y).\nAnswer: 3*y**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = -25*x**3 + 15*x**2 - 3*x + 120. Let b(a) = 24*a**3 - 11*a**2 + 2*a - 122. Let m(v) = -3*b(v) - 2*n(v). Differentiate m(f) with respect to f.\nAnswer: -66*f**2 + 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 29.176509 rounded to 2 decimal places?\nAnswer: 29.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4 - (3 - -3) - -5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence uz when two letters picked without replacement from {u: 3, z: 4}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find u such that u**3\/3 - 3*u**2 + 5*u - 7\/3 = 0.\nAnswer: 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*l + 2*y = 6, 0*l - 5*y = 5*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 831 + -828. What is the nearest to -2 in 8, 0, m?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 36\/19 + 4\/38. Solve -5*k + 4*a = 6, -5*k = -s*a + 1 - 3 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 362831211 is divided by 5335753?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 2\/11, -4\/7, -0.08, 16\/3, -5\/8?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 26 + -10. Let z(x) = -2*x**2 + 43*x + 96. Calculate the remainder when z(23) is divided by c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 25904956 is divided by 60?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 4  (b) 85  (c) 19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -290 = -64*z + 137*z + 586 for z.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = -2*l**3 + 23*l**2 - 5*l - 66. Let z be u(11). Solve 3*x + z + 3 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 2, -133550, 1\/7, -4, -3\/2, -2?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 92 + -89. Suppose 15 = 3*s, -y*s = -2*q - s - 10. Let h(n) = -4*n**2 + 1 - n - n**3 + 3 + 3*n**2. Give h(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j = -h - 5, -10 = -4*j - 5*h + 3. Let n be 85\/j - ((-9)\/2 + 5). Find the second derivative of m**3 + 10*m + 42*m**2 + 24*m**3 - n*m**2 wrt m.\nAnswer: 150*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 980 and 7420.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*3*((0 + sqrt(176))*-5 + sqrt(176))**2.\nAnswer: 50688","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = -4*s**3 + 28*s**2 - 24*s + 124. Let r be c(5). Calculate the greatest common factor of r and 384.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify w**(-1\/2)\/w**(-2\/35) assuming w is positive.\nAnswer: w**(-31\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*d + 5*t - 0*t - 283, 4*d = 5*t - 374. Let q = d - -101. Suppose -2*f + 38 = -q. 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: Sort -4, 4, 2, 0.3, -1.1, 0.2, -45 in decreasing order.\nAnswer: 4, 2, 0.3, 0.2, -1.1, -4, -45","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"}
{"text":"Question: Let h = -6 - -8. Suppose -15 = 4*k + k, -2*g = 2*k + h. Calculate the smallest common multiple of g and 11.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -226 - -230. Suppose 4*g - 1012 = -t*d, 8*g - 1030 = 4*g + 5*d. Is g a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2415 divided by -5?\nAnswer: -483","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is (-1 + 2 - 2)\/((-6)\/4044) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4*(-14264)\/(-8064) - -7) + (-2)\/(-18).\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9378 = -3346*z - 14348*z - 1814166 for z.\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) -173  (b) -3  (c) -11  (d) -4  (e) 0.2  (f) -9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -2*7\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 150.8 - 151. What is the closest to y in 0, 3, 17?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 35 is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -24*n - 3*c - 15 = 0, -146*c = -2*n - 138*c + 34 - 258 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -22528.048 rounded to the nearest one hundred?\nAnswer: -22500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = -28638*d. Let s(h) = h + 46. Calculate w(s(r)).\nAnswer: -28638*r - 1317348","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 1940712 to the power of 1\/2, to the nearest integer?\nAnswer: 1393","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 20668949 is divided by 568.\nAnswer: 565","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert -233030 (base 4) to base 6.\nAnswer: -21552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 47*l - 31*l - 18*l.\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:29 PM and 5:51 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:30 AM and 6:39 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) be the third derivative of 0 + 0*i**3 - 1\/24*i**4 + 8*i**2 + 13\/30*i**5 + 0*i. What is the second derivative of n(y) wrt y?\nAnswer: 52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 750454 (base 8) to base 10.\nAnswer: 250156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*d + 3*d = 0. Suppose m - 5*t + 2 = d, -t = -4*t. Does 6 divide -4 - ((-33)\/(-22))\/(m\/52)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 9*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.08, 0.5, 6\/55?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m = -5 + 1. 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 8\/25 of a hour in seconds?\nAnswer: 1152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 47224968 and 15422?\nAnswer: 519474648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Are 12.11 and 12 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 113742884?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7*n**2 - 1080 + 369 + 362 + 2*n**3 - 18*n**2 + 355.\nAnswer: 2*n**3 - 11*n**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 341 minutes before 9:22 PM?\nAnswer: 3:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 12\/60*(3\/741)\/((-19)\/(-247))\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 218997920?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 1*((-14807)\/(-187) + (-2)\/11) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = 13*s**2 - 20*s**2 + 28*s**2 + 89*s**2. Let i(x) = -2*x**2. Give u(i(j)).\nAnswer: 440*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g + 3*g - 40 = 0. Suppose g - 59 = -3*y. Let p(d) = 39*d - 2. What is the remainder when p(1) is divided by y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -1.1 and -43467.\nAnswer: -43468.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Are -263 and 18 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 1\/2*1\/(-4). Let g = 31987\/3 + -10661. Which is the closest to 1\/6?  (a) 5  (b) r  (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5393 times -158.13\nAnswer: -852795.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1244 - -2951. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = 7*a + 73. Let n(m) = -15*m - 147. Let r(o) = -2*n(o) - 5*t(o). Let h be r(-17). Solve 3*b = -2*b + 3*g - 16, 0 = 2*b - 5*g + h for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-3 + 1)*5*(-2)\/(-5). Let v be a\/6*13848\/(-16). Suppose 3*w + 6 = -9, v = 3*m + 4*w. List the prime factors of m.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(1053) + 4 + -4 + -2 + (sqrt(468)*4 - sqrt(468)).\nAnswer: -2 + 27*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (1 - 12\/15)\/(4\/20). Suppose -5*p = 3*h - 24, p - 5 - c = -h. Solve 3*y = -p*l + 7*y - 3, -6 = -l - y for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 44 a factor of -8 - -1 - (-24 + 10) - -17945?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k\/k**(-2\/7)*k*k**(5\/3))\/(k**(2\/5)\/k*(k\/k**(6\/5))\/k) assuming k is positive.\nAnswer: k**(604\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 5023 + -a6?\nAnswer: 4c4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 47826 to the power of 1\/2, to the nearest integer?\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = -n**2 + 6*n - 3. Let c be w(2). Suppose -3*k - y + 27 = k, 4*k - c*y = 57. Let j = 32 - 27. Which is smaller: k or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.4, 0.18, -29?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -4662, -9313, -13962, -18609, -23254?\nAnswer: -27897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -446, -15, 6, -2?\nAnswer: -446","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1\/1082 - 1693323\/7574. Let j = 223 + w. What is the smallest value in j, -0.1, 2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 26*s**5 + 2*s - 47 wrt s.\nAnswer: 520*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: (6*90\/(-189))\/((-396)\/(-462))\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express (5 + 0*w**2 + 2*w**2 - 2)*(-2 + 2*w + 2)*(7 - 7 + 2*w) in the form m + x*w**3 + s*w**4 + r*w**2 + y*w and give s.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -133\/16344 and 11\/6966?\nAnswer: 6325128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w + 51 = -5*x, w - 14 = 2*x + 4. Let c = 5475 - 5463. Calculate the highest common divisor of w and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (s - 6*s + s)*(2 - 1 + 0)*(-1 - 7 + 5 + s) in the form o*s + k*s**2 + v and give o.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 1659095 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = 12*h**3 - 1. Let v(b) = 56*b**3 + b**2 + b + 15. Give 5*k(c) - v(c).\nAnswer: 4*c**3 - c**2 - c - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2 - 9) + 15 + -5 + -11?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 53\/3042972 and 143\/13693374?\nAnswer: 27386748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of d**3*x**2 - 2*d**3 - 7*d**2 + 5014935*x**3 + 188*x wrt x?\nAnswer: 2*d**3 + 30089610*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express -48*a**2 + 2*a**4 + 47*a**2 - 4*a + 17*a - 2*a**3 as w*a**2 + d*a + h*a**4 + l*a**3 + j and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vs when two letters picked without replacement from {k: 2, h: 1, n: 4, s: 3, v: 7}?\nAnswer: 21\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1376 - 9630\/7. What is the second biggest value in 5\/2, -0.3, 4\/9, l, -2\/5?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = -12*l**2 - 4*l + 2. Let p(i) = 11*i**2 + 3*i - 2. Let c(h) = 4*f(h) + 5*p(h). Let v be c(2). Let n = -9 + v. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 14898576*h**4 + 13*h**2 - 174*h + 939.\nAnswer: 357565824*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = -8*r + r + 2*r + 80 - 47 - 63. Let l(p) = 9*p + 59. Determine -6*l(i) - 11*n(i).\nAnswer: i - 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 4.85 - -0.15. Let l(m) = 2*m + 1. Let t be l(-2). Put p, t, 1 in descending order.\nAnswer: p, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = 15*v**2 + 12*v - 3. Let p be q(3). What is the nearest to -0.1 in -1, 1\/7, p?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = -6*i**3 - 7*i**2 - 7*i. Let u = -3 + -2. Let g(z) = -z**3 - z**2 - z. Give u*l(d) + 35*g(d).\nAnswer: -5*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 21894600 a multiple of 156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 5 - -1a?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -67510, -269201, -605078, -1075141?\n\"Answer: -67093*n**2 - 412*n - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = -6*b + 44. Let h(t) = -t + 9. Let r(c) = -16*h(c) + 3*w(c). What are the prime factors of r(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.19 + 7.19. Let p = 2\/405 + 178\/405. What is the third smallest value in p, t, -1\/11?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = 56*c - 29. Let d(o) = -o**2 + 3*o + 23. Let h be d(7). Let p be (-1 - h\/2) + (-234)\/(-36). Is w(p) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) be the first derivative of -4*j**6\/15 - 11*j**2 - 13*j - 11. Let a(k) be the first derivative of i(k). Find the first derivative of a(z) wrt z.\nAnswer: -32*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-959)\/(-5) - 1)*185\/74. What is the greatest common divisor of 9 and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 10100010011010110001 + 1001?\nAnswer: 10100010011010111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"}
{"text":"Question: What is the value of (5\/(-3) + 2)*2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-125 + 490 + 152)*(-285 + 285 + 20*z).\nAnswer: 10340*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 59305 and 445810.\nAnswer: 2045","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = 2*d - 8. Let w be t(3). Let n be (24 - 0)\/w*(-232)\/12. Let y = -37 + 66. What is the highest common factor of n and y?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11 minutes before 12:28 PM?\nAnswer: 12:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 20 and 644.\nAnswer: 3220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -3064509*j**5 - 2*j**2 + 33601?\nAnswer: -183870540*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (-4)\/4 - (-98)\/12 and -139\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 3\/(-4)*(-18 - 2). Let g(b) = 61*b**2 - 2*b + 1. Let m be g(1). What is the highest common divisor of m and d?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 74*y + 72*y - 5*y**3 + 51*y + 18*y**3 - 197*y.\nAnswer: 13*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 30\/165 + ((-140867)\/(-55) - (-2)\/(-5)).\nAnswer: 13, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 398050 to the power of 1\/3, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -9\/4 + 5\/2. What is the closest to q in 1, -4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = -n**3 - 10*n**2 - 8*n + 2. Let k be q(-9). Let w = k - -43. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(24)\/(1*sqrt(72))*2 - (1 + (3*sqrt(30))\/sqrt(10) + -1).\nAnswer: -7*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 5.84 - -0.16. Let m = j - 5.9. Let z = 5.11 - 0.11. Put m, z, -0.3 in increasing order.\nAnswer: -0.3, m, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 72 and (55 - 1)*-10*8\/(-80).\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 e and 1 z when two letters picked without replacement from ezzzzzzz?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -2 - -2536b?\nAnswer: 25369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 38\/9 = 122521?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put -31, -38267, -2 in decreasing order.\nAnswer: -2, -31, -38267","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1242 is divided by 408.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -16187\/3 - -5396. What is the fourth smallest value in -1\/683, 0.5, -0.3, z, 0.03?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 25 - 37. Let b be (-13)\/(-4) - (-3)\/m. Suppose 0 = 3*r + b*j - 24, 3*j = -0*j + 15. What are the prime factors of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = p**3 + 4*p**2 - 3*p. Let z be k(-5). Let y = -0.005 - 4.995. Sort y, z, 0 in decreasing order.\nAnswer: 0, y, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -41376910*n**2 + 23725005*n wrt n?\nAnswer: -82753820","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -64, -109, -178, -265, -364, -469?\nAnswer: -574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-5444)\/(-8))\/(1 - 3\/6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 622641?\nAnswer: 3, 207547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 142018 is divided by 367?\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -721 - 14?\nAnswer: -735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 546 minutes after 11:30 PM?\nAnswer: 8:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 1*-11*6\/(-88). Let x(d) be the first derivative of -d**3 + 3\/5*d**5 + 1\/2*d**6 + 0*d + 4 - m*d**4 + 0*d**2. Factor x(o).\nAnswer: 3*o**2*(o - 1)*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (h + 0*h - 2*h)*(2*h + 2*h**2 - 2*h) + h**3 - 3*h**2 + 3*h**2 - 1108299*h**2 - 12059*h**3 + 1108299*h**2 as n + c*h**3 + m*h + b*h**2 and give c.\nAnswer: -12060","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*d - 2*d. Suppose 0 = -d*q + 2*q + z + 5, -3*q + 5*z = -25. Determine n, given that n**3 + q*n**3 - 2*n + n + 0*n**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -56 + 55.34. Let b = -2.24 + w. Let d = b - 0.1. Are -2\/5 and d nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-281)\/6744)\/(((-26)\/(-20))\/13)?\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 289\/30 + 3\/18 - (-4)\/(-5). What is the third smallest value in -4\/3, -1, 1\/2, t, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 719 minutes before 4:39 AM?\nAnswer: 4:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -332 (base 7) to base 13\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 4044841 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 - (0 + 5) - -1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 minutes after 1:40 AM?\nAnswer: 1:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 70 = -5*r - 115. Let z = r - -35. Sort z, -5, 1 in decreasing order.\nAnswer: 1, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:47 AM and 6:19 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kpq when three letters picked without replacement from {p: 4, q: 3, k: 3, h: 5, v: 1, g: 1}?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -c + 3*c + 6 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -9\/100 and 83\/190?\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = p**3 - 4*p**2 + 3*p. Let j be n(2). Let o(x) = -11*x - 5. What is the units digit of o(j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 172 + 1346*v - 366 + 194 to the form s + o*v and give o.\nAnswer: 1346","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 174870179 and 238459335.\nAnswer: 2623052685","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = 2 - 90*f**2 - 1961*f + 91*f**2 + 1945*f. Let d be -4*4*(0 + -1). Let y be m(d). Solve y*n = -0*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -7908 and 43?\nAnswer: -340044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-k + 4 - 4)*(99228*k + 1999*k**2 - 99228*k).\nAnswer: -1999*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-1 - 1\/(-7))*(-3 - -10). Let n(r) = -51*r + 38. What is the tens digit of n(b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in a + 16 + 43 - 97 + 46*a**2 + 38 + 5*a**2.\nAnswer: 51*a**2 + a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -0.65, -1866, 8, -1\/4, -5\/6 in descending order.\nAnswer: 8, 1, -1\/4, -0.65, -5\/6, -1866","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 2919609\/(-36) + 2\/8. Round q to the nearest one thousand.\nAnswer: -81000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 0*j + 1 + 2*j**3 + 0*j**5 - 30*j**4 + 35*j**4 - 6*j**2 - 3*j**5 + j = 0. Calculate j.\nAnswer: -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w = -5*o + 4745, -5*o + 8523 - 1413 = 3*w. Suppose -5*q - 1437 = g + w, 0 = -g - 4*q - 3804. Let u = 31212 + g. Round u to the nearest 1000.\nAnswer: 27000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = 4*u**2 - 2*u + 4. Let y(p) = -21*p**2 + 11*p - 22. Let t(g) = 11*b(g) + 2*y(g). Let z(r) = r**2 + 26. Give z(t(h)).\nAnswer: 4*h**4 + 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kzz when three letters picked without replacement from {z: 11, k: 5}?\nAnswer: 55\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 <= 1\/526250?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let 676\/3*k**3 + 160\/3 - 296\/3*k**2 - 44\/3*k**5 - 80\/3*k**4 - 848\/3*k = 0. What is k?\nAnswer: -5, -1, 2\/11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(55)\/(3*sqrt(176)) + (-2 + (1*sqrt(500) - sqrt(500)))**2 + ((3 + sqrt(405) + 0)**2 - ((1*sqrt(5))**2*6 + 1)).\nAnswer: 649*sqrt(5)\/12 + 387","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = -24*m - 77. What is the remainder when t(-6) is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -2\/17  (b) 1  (c) 2  (d) -3  (e) -7  (f) 48\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 35399.7 kilometers in millimeters?\nAnswer: 35399700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -1001, -1016, -1019, -1004, -965?\n\"Answer: m**3 - 22*m - 980","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = -n**2 - 2*n + 5. Let i be s(-3). Suppose i*l + 4*l = 72. Does 6 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11 = -28*s + 45 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (26\/8)\/(6\/(1944\/(-9))). Let v = i + 118. Solve k = -0*k - v for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 57388281?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = 6*j - 456. Let f(h) = -h + 30. Let c(z) = 15*f(z) + i(z). Give c(-3).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 381 divided by -127?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = 10*t + 16. Let i(w) be the third derivative of -5*w**4\/24 - 4*w**3\/3 + w**2. Let o(y) = 2*f(y) + 5*i(y). Let j(b) = b + 1. Determine -6*j(g) - o(g).\nAnswer: -g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 2856 * -2167.43\nAnswer: -6190180.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -6\/7  (b) -51  (c) -1\/4  (d) -2  (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 1567 and 17?\nAnswer: 26639","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q + 24 - 86 = 0. Let n = q - 27. Solve 0*f - n*f + 12 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = -1. Let g(t) = 100*t**2 + 10. Calculate 10*b(f) + g(f).\nAnswer: 100*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 4\/8099 - 2\/89. Let p = 188\/273 + s. Find t such that -2\/3*t**5 + 0 - 4\/3*t + 2*t**3 - p*t**4 + 2\/3*t**2 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 8 + 9. Let k = c + 69. What are the prime factors of k?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = -n**2 - 612*n - 61537. Give u(-127).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) be the second derivative of 0 + 1\/6*f**4 + 4\/3*f**3 + 3*f**2 - 2*f. Let n be w(-6). What is the greatest common factor of 10 and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1854\/25 + -19837\/75. Which is bigger: c or -189?\nAnswer: -189","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -108.853 and 249192700.\nAnswer: 249192591.147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = 22*m + 17. What is x(4)?\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from kktpkktptk. What is prob of picking 4 k?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = n. Let c(m) = -m**3 + 5*m**2 - 4*m + 3. Suppose 2*v - 6 = k, -2*k - 5 - 3 = -3*v. Let y be c(v). Let b(i) = 4*i + 2. Give y*j(o) - b(o).\nAnswer: -o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 8294875 to the nearest integer?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 13128809?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -543 (base 6) to base 11\nAnswer: -179","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = -2*t**3 - 3*t**2 + t. Let l(g) = 2*g - 1. Let f be l(-3). Let o(r) = 4*r**3 + 7*r**2 - 3*r. Calculate f*x(q) - 3*o(q).\nAnswer: 2*q**3 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1825660?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*g + 0*g + 4*w = 40, g + 48 + 64 = -3*w - 61 + 203 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-498)\/(-54) + 4\/(-18). Let m be (d\/2)\/(-3) + 1. Which is the smallest value?  (a) m  (b) 0.5  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -217 divided by 7257.\nAnswer: -217\/7257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -23918, -47891, -71922, -96011?\n\"Answer: -29*d**2 - 23886*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*u + z - 9 = 0, 0 = -8*u + 9*u + z - 7 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 17005 divided by 15\nAnswer: 3401\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 49*h = -4*h + 36040. What is the least common multiple of 680 and h?\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine t, given that -2*t**2\/7 + 39994*t\/7 + 56322156\/7 = 0.\nAnswer: -1321, 21318","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -1 - 4\/((-12)\/375). Suppose -15 = -5*o, -b - 2 = -o - 30. Calculate the greatest common divisor of b and i.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = 19*p - 21*p. Let m(o) = o - 2. Let i be m(2). Suppose i*q - 3*q + 3 = 0. What is the remainder when p is divided by q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = 2*i + i. Calculate the least common multiple of i\/(30\/27 + -1) and 6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 620, 548, 478, 410?\nAnswer: 344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) be the second derivative of o**4\/12 - 5*o**3\/6 + 2*o**2 + 3*o. What is the units digit of g(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in 0.2, 0.1, -3\/5, -5, -986?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 34211 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert -53 (base 10) to base 6.\nAnswer: -125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -848 divided by 12?\nAnswer: -212\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.07, -4, 321, -2\/3, -3 in descending order.\nAnswer: 321, -0.07, -2\/3, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 1222 and -3.\nAnswer: -3666","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 34838?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o + 365 = 5*w, 5*o - 86 = -w + 2*o. Let k be (8\/(-10))\/((-4)\/290). Let s = 130 - k. Which is smaller: s or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = 13*i - 149. Calculate b(11).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7738 = 7387*h - 7399*h + 12662. Does 100 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 m and 1 d when four letters picked without replacement from {d: 4, m: 7}.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -4908 + 2431. Let y = -4628 - -10215. Let t = y + l. What is t rounded to the nearest one hundred?\nAnswer: 3100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-21*c + 14*c + 24*c)*(c - 2*c - c + (2 - 2*c - 2)*(-1 - 2 + 4) + 0*c + 0*c - 4*c + c - 4*c + c)*(2 - 4 + 1).\nAnswer: 170*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -2482 times 101?\nAnswer: -250682","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 16\/945 and -61\/630.\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(4\/9)\/(x**7\/x))**(-1\/3) assuming x is positive.\nAnswer: x**(50\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -5, -15\/11567, -3, -0.1, -3\/2, 0.5?\nAnswer: -15\/11567","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -360 divided by -72.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 170\/1 + 8\/(-4). Let b = q - 60. Calculate the greatest common factor of 27 and b.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = -c**2 - 4*c + 1. Let n be b(-3). Suppose 10 = p + n*p. Solve -p = j + j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3*18\/(-270)*6*-10*268\/48?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 11 - 9. Suppose 3*k + 145 = -f*k. What are the prime factors of -1 - 1 - (-14 + k)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = l**2 + 27448*l - 274572. What is j(10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = 3*h**3 + 2*h**2 - h - 2. Let u(t) = t**3 + t**2 - 1. Let p(a) = -2*u(a) + y(a). Let k(n) = n**3 - n. Let c(x) = 5*k(x) - 3*p(x). Factor c(b).\nAnswer: 2*b*(b - 1)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -210*k**2 + 294*k**2 - 3 + 102*k**2 to u*k**2 + w*k + o and give u.\nAnswer: 186","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -67*j + 4 = -71*j. Which is bigger: 10 or j?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 26.1 and 43873?\nAnswer: 1145085.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 233 - 193. Solve -c + p = -9*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*b - 116*b + 690 + 450 for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 50 + -5 + -47 + (-32 + -3 - -5)\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide 6 by 161359.\nAnswer: 6\/161359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 3634 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = 21*a - 28. Let g be n(12). Suppose y + 73 = g. What is the tens digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 13, -8, -39 in decreasing order.\nAnswer: 13, -8, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -225098 - 225086 + 547*r + 450185.\nAnswer: 547*r + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 14.143 - 90.613. Let x = -77 - q. Let b = x - -0.5398. Round b to 3 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 3870555, 3870473, 3870391, 3870309?\n\"Answer: -82*k + 3870637","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = -t**2 + 6*t + 10. Let x be o(8). What is the tens digit of (-2)\/1 - (x + -6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6213 divided by -5?\nAnswer: -6213\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.25 - 0.45. Let p = 1 - 2. Let a be (1\/(-2)*-2)\/p. Which is smaller: s or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 47603 divided by -4.\nAnswer: -47603\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert 9.96382g to milligrams.\nAnswer: 9963.82","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or -3\/222448?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = l**2 - 8*l - 5. What is g(6)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30 = 5*s + 5. Let h = 9 + s. Suppose -2*d - h*d - 4*p = -192, 0 = 2*p + 2. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = -w - 4*w + 3*w + 7 - 3*w. Let d be s(-8). Let v = 68 - d. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 358*n = 512*n + 462 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-7)\/(-49))\/((-165)\/(-924)). Let q = -22 - -21. What is the closest to q in -3, -6\/13, i?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -29.2 + 29. Let g = 126.5 + -15.5. Let k = g - 111.04. What is the second biggest value in d, k, -1\/4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) be the second derivative of q**5\/120 - q**3\/6 - q. Let t(l) be the second derivative of s(l). Calculate t(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*z + 1357 = 125. What is the highest common divisor of 42 and z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -2683 to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) be the third derivative of o**5\/20 - 4*o**2. Let w(i) = -i**2. Determine w(y(r)).\nAnswer: -9*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = 27*r + 8. Let j be w(11). Let o = j + -129. What is the greatest common factor of o and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = -3*v**2 + 2*v + 5. Let o be x(-5). Let a = 113 + o. What is the remainder when a is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 197822987 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 6335 divided by -5?\nAnswer: -1267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = g**2 + 16*g - 32. Let q be (3 - 3) + 5 + 55. Suppose 0 = -9*v - 249 + q. What is the units digit of b(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r = 241 - 41. Let q = -13 - r. What is the highest common divisor of q and 189?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j**1)**(-12\/13))**(-47) assuming j is positive.\nAnswer: j**(564\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = 480*t + 14. Let f(o) = 241*o + 6. Calculate -9*f(n) + 4*w(n).\nAnswer: -249*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 32*u - 88*u - 224 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Determine b, given that 64131*b**2 + 4232648*b + 132 = 0.\nAnswer: -66, -2\/64131","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 = -4*w + w. Put 2, w, 5 in ascending order.\nAnswer: 2, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 34571881373 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert 223 (base 4) to base 8.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2 or -537?\nAnswer: -537","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 374 and 2081576662.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n**4\/7 + 8*n**3\/7 + 76*n**2\/7 - 80*n\/7 = 0. What is n?\nAnswer: -4, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 132876730 and 1470.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + sqrt(17)*1 + -1.\nAnswer: 3 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 3833 - 2686931\/701. Which is greater: j or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*j**5 - 9*j**4 - 9*j**3 - 3*j**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in eleven quarters of a micrometer?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i = 2*f + 24, -6 + 22 = -4*f. Suppose 2*r = -i*d + 8 - 16, 5*r = -5*d. Solve -r = -11*y + 9*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1 - -4. Solve -2*m = 5*a - 6, 8 = -q*m + 2*a + 23 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/5 in 4, 2, -17.41, 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -256 - -261. Solve -3*z = 5*f - 3 - 25, l*z = -4*f + 25 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 336?  (a) -4  (b) 1.62  (c) 289\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) be the second derivative of -q**5\/70 + 3*q**4\/14 - 2*q**3\/3 - 63*q. Find n, given that o(n) = 0.\nAnswer: 0, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (11 - 10 + 4)*(0*b - b - b)*(0 - 4 + 3)*(-b + 0*b - 2*b).\nAnswer: -30*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = -l**3 - 61*l**2 - 2236*l - 119601. What is x(-58)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 422 - 1686 + 420 - 595*n**3 + 423 + 421.\nAnswer: -595*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 4 - (-3 + (-5)\/(-1)). Suppose 45 = -j*v + 7*v. Calculate the least common multiple of 32 and v.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 5, 4, -37.\nAnswer: -37, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -o + 5 = 0, o = 2*j + j + 2*o + 10 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(49)\/sqrt(7)*2 + -4 - 6*(-1 + sqrt(1008)).\nAnswer: -70*sqrt(7) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -41, -314, -1031, -2414, -4685, -8066?\n\"Answer: -37*q**3 - 14*q + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 98 divide 211680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-24)\/20)\/(20\/150).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 12 + 10 + -19 - -8124?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*m = 5*m + 15. Suppose 5*b - 23 = -q, 2*b - 17 = -4*q + m. Suppose -30 = -4*h + 5*z + 10, -3*h + 31 = -4*z. Solve h*i + 1 + b = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -14 + 8. Let k(n) = -n**4 + n**2 + 2*n + 2. Let w(b) = 2*b**4 - 3*b**2 - 5*b - 5. Let f(o) = m*w(o) - 15*k(o). Find the third derivative of f(t) wrt t.\nAnswer: 72*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the seventh biggest value?  (a) -2\/7  (b) 4  (c) 0.5  (d) 2\/11  (e) -3  (f) -0.046191  (g) -1\/39\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t\/(t\/(t*t**2)*t)*t*t**(-1\/5))\/((t**(4\/3)\/t)\/t*t**12*t) assuming t is positive.\nAnswer: t**(-143\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4*s**4 + 2*s**4 - s**4 + (0*s**3 - s**3 - s**3)*(-1 + 1 + s) + (-s - 3*s**3 + s)*(3*s + s - 3*s) to j*s**2 + v*s**3 + z + c*s + w*s**4 and give w.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -119, -117, -113, -107?\n\"Answer: p**2 - p - 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:17 PM and 4:26 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 2 divide 416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.009391 to 3 dps.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert 100010011001100001110 (base 2) to base 3.\nAnswer: 2010021012111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out 49.1881 + 28.8991833.\nAnswer: 78.0872833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8198*o**2 - 16300*o**2 + 11*o**3 + 8102*o**2.\nAnswer: 11*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -211*q**4 + 5*q**3 - 21*q**2 - 111*q - 1.\nAnswer: -5064*q + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -29464 - -29461. Suppose 5*y - 5*b + 7 = -13, -12 = -4*b. Sort y, c, 5, 0.2 in descending order.\nAnswer: 5, 0.2, y, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 18, 4, -3, -22, 0, 1 in decreasing order.\nAnswer: 18, 4, 1, 0, -3, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = 36*r**3 + 57*r**2 - 48*r + 15. Let b(o) = 5*o**3 + 8*o**2 - 7*o + 2. Let p(q) = 15*b(q) - 2*g(q). Let p(t) = 0. Calculate t.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 9*a + 41 - 5. Is 8844 - 5\/(-5) - a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1340 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 75097517?\nAnswer: 11, 17, 23623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 8 + -165dc2?\nAnswer: -165db8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4062*y**2 + 85324*y + 462.\nAnswer: 2*(y + 21)*(2031*y + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s + 2*s = 1. Let m(i) = -3*i**3 - 8 - 4*i**2 + 7 + 2*i + 3*i**2. What is m(s)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -10*c + q - 6*q + 280, -q - 6696 = -6692 for c.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 722395111 to the power of 1\/2, to the nearest integer?\nAnswer: 26877","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 8623619 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 47\/3 + -16. Let k = 544 - 549. Which is the third smallest value?  (a) k  (b) -0.04  (c) 3\/2  (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3480?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 16 + -14. Let l be 4\/12*(-3)\/j. Which is smaller: l or 1\/3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find b, given that 4*b**2 + 7641736*b + 3649758068356 = 0.\nAnswer: -955217","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Work out -492.9 - 227.\nAnswer: -719.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1500) + (sqrt(1500) - (sqrt(1500) - sqrt(1500)*-1 - sqrt(1500))) + sqrt(1500))\/((sqrt(150)\/sqrt(3))\/sqrt(10)).\nAnswer: 20*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 5 + 2)*(-36*l**2 + 11344*l**4 - 11343*l**4 + 29 - 29*l**2).\nAnswer: -l**4 + 65*l**2 - 29","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -29\/134345 and 113\/3869136.\nAnswer: 19345680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:31 AM and 11:56 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + (sqrt(176)*-3*-2 - sqrt(176)) + 3.\nAnswer: -2 + 20*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 475048552?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 11 + -7. Suppose -r = y*w - 1, 9*w - 4*w - 2 = -2*r. Is w <= 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 7947090*o - 7947036*o + 324 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*h**2 - 52*h**2 - h + h.\nAnswer: -55*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4 + 2 - 9)*(-2*k + 3*k - 3*k) + (32 - 32 + 8*k)*(-4 + 0 + 1) - 3*k - 4*k + 5*k in the form p*k + u and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + -1 + 3 + 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -378*l + 672 + 174 - 90 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.69?  (a) 0.2  (b) -3  (c) -23  (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 c and 1 k when three letters picked without replacement from {c: 2, b: 1, d: 8, l: 1, z: 3, k: 1}?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 37307.14 weeks to minutes.\nAnswer: 376055971.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -3431130 (base 5) in base 11?\nAnswer: -42162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 6599?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.05227212 to 4 dps.\nAnswer: 0.0523","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n = -4*u - u + 53, 5*n - 3*u - 210 = 0. Suppose -70 = -5*c - h, -2*h - 3 = c - 2*c. Calculate the greatest common factor of c and n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0 - -4. Suppose 4*g = -5*w + 2*w + 26, -4*g + 5*w + 10 = 0. Find h such that h**2 + 8*h**g - 15*h**2 + 2*h - h**k - 12*h**3 + 15*h**4 + 2*h = 0.\nAnswer: -2, -1, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p - 9 = -6*p. Calculate the common denominator of -61\/8 and (-129)\/p + (-3)\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -369209814.9999989 + 369209843. Let v = -23.8 - 4.2. Let d = v + i. Round d to seven decimal places.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h + h + 5*g = -78, 0 = -g. What are the prime factors of h?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.3  (b) -2  (c) -83  (d) 0.5  (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000000729975721 rounded to 7 decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 9 and 19629.\nAnswer: 19629","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*k**3 + 0*k**2 + 4*k**4 - k**3 - 1 + k**2 - 1 as l*k + j*k**3 + c*k**4 + i*k**2 + d and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.1 bigger than -209694?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j + j = 0, -2*f + 45860 = 4*j. Let m = f + -36730. What is m rounded to the nearest one thousand?\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) be the first derivative of -3*c**5\/10 + c**4\/4 + 13*c**2\/2 + 3. Let m(u) be the second derivative of n(u). What is the second derivative of m(j) wrt j?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 26600875?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 431870 and 513?\nAnswer: 11660490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -18.8 + 3.8. Let h = -176.05 + 177. Let o = h - -0.05. Is l < o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 o and 1 n when two letters picked without replacement from {p: 8, o: 4, n: 2}.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 837245766?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -370147, -740301, -1110453, -1480603, -1850751, -2220897?\n\"Answer: o**2 - 370157*o + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = l**3 - 2*l**2 - 3*l + 2. Let d be o(3). Suppose 4*u = 86 + d. Let h(r) = -35*r - 2465. Calculate the smallest common multiple of h(-71) and u.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -a - 6 = -5*d, -15*a + 35*a + 120 = -4*d for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 84376731?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 8\/(-6)*1\/4*-1\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 11956474?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -53*z - 2 = -161. Let f(r) = 3 - 2 + 4*r**2 - 3 + 2*r**3 - 3*r**3 - 3*r. Let b be f(3). Sort z, b, 2, 1 in decreasing order.\nAnswer: z, 2, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 70 - 54*s**2 + 2*s - 134 + 67 wrt s?\nAnswer: -108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j + 0 = -3*i - 3, -5*i = -j - 2. Suppose i + 3 = 4*z + 2*u, -z + u + 4 = 0. What are the prime factors of z\/((-1)\/1)*(-3405)\/30?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 663*i**3*x**3 + 247*i**3*x - 2*i**3 - i*x**3 wrt x?\nAnswer: 3978*i**3*x - 6*i*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 81380 and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.5?  (a) -1  (b) -4.5  (c) -4\/9  (d) 1514  (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 269264863.\nAnswer: 7, 38466409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 72 and 239627376?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find h such that 2\/13*h**2 + 0 - 12\/13*h + 2\/13*h**3 = 0.\nAnswer: -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-7)\/4*(-12)\/(-28).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) be the second derivative of -79\/30*g**6 - 7\/6*g**3 + 0*g**5 + 0*g**4 + 0*g**2 + 0 - 112*g. Find the second derivative of q(t) wrt t.\nAnswer: -948*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(-1\/5))**23*((k\/(k*k**(2\/3)*k))\/k*k)\/(k**6*k) assuming k is positive.\nAnswer: k**(-199\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 30703 to the power of 1\/2, to the nearest integer?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = 4*f**2. Let w(r) be the second derivative of -r**4\/12 + 61*r**2 - 5*r. Calculate w(h(c)).\nAnswer: -16*c**4 + 122","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"}
{"text":"Question: What is -0.005792 rounded to four dps?\nAnswer: -0.0058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/3 in -0.4, 0.03, -1.98, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 582 and 9798?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0 - 1. Let x = 1 - 1. Let t(z) = 5*z**3 + 1. Let l be t(-1). Put l, x, g in descending order.\nAnswer: x, g, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) be the second derivative of -x**6\/30 + x**5\/5 - 2*x**4\/3 - x**3\/3 + 2*x - 63. Find the third derivative of c(s) wrt s.\nAnswer: -24*s + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w - 1 - 1 = 0. Let q = 6 - 6. Which is the biggest value?  (a) w  (b) 0.5  (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) be the first derivative of -s**4\/4 - 10*s**3\/3 - 13*s**2 - 87*s - 293. Let i be g(-9). Calculate the highest common divisor of 12 and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -3\/74 less than or equal to 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qdqqxqizi. What is prob of picking 1 i, 1 q, and 1 x?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort -646, 0, 3, -2, 87 in increasing order.\nAnswer: -646, -2, 0, 3, 87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = -3*h - 2. Let o be k(-3). Suppose 4*f - 7 = 5*q, q + 0*q - o = -2*f. Suppose -16 = -7*d + f*d. Solve a = -d*a + 20 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in 0.07, 2\/7, -2, -0.2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0.9, 193, 3, 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -375, -3963, -13705, -32679, -63963, -110635, -175773, -262455?\nAnswer: -373759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1121112 (base 3) in base 5?\nAnswer: 14200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -74  (b) -2  (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:21 PM and 12:17 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = 59 + 70 + 1683*i - 1705*i + 102. Calculate p(9).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2 + 0 + 1)*(g**2 - g**2 - g**3) - 13702*g**2 - g**3 - 88*g + 13702*g**2 to n*g**2 + h*g**3 + u + r*g and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort 10, 2, -4, 1894, -44 in descending order.\nAnswer: 1894, 10, 2, -4, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -i + 5. Solve 5*v = -l + 6, 22 = -4*v + 5*v - i*l for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5910397859.\nAnswer: 43, 137451113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0*(-10)\/20*2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -100322 from 557.\nAnswer: 100879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is -14\/13819 less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = 47*f - 29. Does 10 divide y(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2 (base 13) to base 9\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 47 is divided by (-50)\/20*42\/(-15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(-4\/3)*(k*k\/(k**13*k))\/k*(k\/(k\/k**(7\/3)))\/k**(8\/5))**(-4\/19) assuming k is positive.\nAnswer: k**(272\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 7036660 and 10940?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in 166, 30, 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = -l**3 + 4*l**2 - 4. Let d be o(3). Suppose -w = d*i - 11, -i - 4*w - 12 - 1 = 0. Let v = 9 + -7. Calculate the remainder when i is divided by v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7 + 0 + (3 + 3 - 6).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -121003227725583947608057\/4051083 - -29869352892938896. Let k = d - 4\/238299. Let h = k + -403. Is h smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1396943.2089 + -0.1313.\nAnswer: -1396943.3402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 11654937 is divided by 971242.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*a - a + 3*a)*(0 - 2 + 0) + 4*a + 6 - 6 + (5*a + 2*a - 6*a)*(-2 + 0 + 1) + 2 - 2*a - 2.\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor 128*z**4\/7 + 32*z**3\/7 - 30*z**2\/7 - 9*z\/7.\nAnswer: z*(2*z - 1)*(8*z + 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 3, -29, -75, -129, -185?\n\"Answer: g**3 - 13*g**2 + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 210813987.\nAnswer: 3, 19, 61, 60631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 49 is divided by 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -1230, -2447, -3686, -4959, -6278, -7655, -9102?\n\"Answer: -2*v**3 + v**2 - 1206*v - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 15\/(-63) - ((-1737)\/5404)\/((-6)\/8).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 90 and 0.02.\nAnswer: 90.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = -45*v**2 + 7*v + 7. Let q(r) = 22*r**2 - 3*r - 3. Let s(a) = -3*l(a) - 7*q(a). Let d(x) = 3*x + 0*x - 3*x - 2*x. Determine d(s(h)).\nAnswer: 38*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + (-2*((3*sqrt(272))**2 - sqrt(272) - sqrt(272)) - (-3*(-2 + sqrt(272) + sqrt(272)))**2).\nAnswer: -14729 + 304*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 12666.0219 hours in weeks?\nAnswer: 75.3929875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 1504126352 take away -0.7181?\nAnswer: 1504126352.7181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -254537\/2 - -14635829\/115. Let p = r + 1\/46. Let l = 234 + -238. What is the second biggest value in -2\/15, l, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -63\/5*s + 66\/5 - 3\/5*s**2.\nAnswer: -3*(s - 1)*(s + 22)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 336735?\nAnswer: 3, 5, 7, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = 81*l**2 - 71*l + 2122. Is i(20) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 22\/((-4599)\/(-3066)*((-1)\/1)\/((-12)\/4)).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 19173053 a multiple of 199?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = 2*p - 9. Let y(n) = -n**3 - 19*n**2 + 8. Suppose -3*b - 2*z = 2*z - 231, 2*b - 147 = -5*z. Suppose 24 = 3*o + b. Let k be y(o). What is c(k)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:33 AM and 9:21 AM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-9)\/(135\/(-5)))\/(-4*8\/3936).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = -h**3 - 2*h**2 + 39*h - 6. Suppose -6*f - 51 = -9*f. What is the remainder when g(4) is divided by f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jlqzlzuw. Give prob of picking 1 w and 1 q.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 l and 2 q when four letters picked without replacement from qlllqql?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 65 + x**2 - 100*x + 199*x + 3*x**4 - 100*x to w*x**3 + h*x**4 + p + a*x + s*x**2 and give p.\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand z**5 - z**5 - z**5 + (2*z**2 - z**2 + 0*z**2)*(-2*z**3 + z - z) + (39*z**4 + 4 - 4)*(499 - 52*z - 499).\nAnswer: -2031*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor -8*n**2\/19 + 2520*n\/19 - 198450\/19.\nAnswer: -2*(2*n - 315)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 215 >= 479890\/2231?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i + 3*i - 5*q = -920, i + q = 460. Let g be 1150\/23*i\/2. 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: Solve -900 + 1047 = -96*y - 2349 for y.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -6*7\/((-3570)\/20). Let v = 9 - 7. Determine z, given that -u*z**3 + 4\/17*z + 2\/17*z**4 + 0 - 2\/17*z**v = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = -970*k + 3819. What is o(4)?\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -21 or -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = -3*v - 114. What is q(-32)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.4 less than 5466?\nAnswer: 5465.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*j - j. Is j - -2 - (3 + -396) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = -2*r**2 + 6*r + 9. Let u be k(5). Let q = u - -15. Let j be (-2)\/((4\/30)\/(6\/(-30))). Solve -10 - 4 = 3*p - y, q*p = -j*y - 10 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -550 (base 10) to base 16\nAnswer: -226","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 144*r - 36*r - 3996. What is the remainder when 71 is divided by r?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*h + 4 + 68. What is the remainder when h is divided by (-56)\/10*(-20)\/8?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -2 + -4. Let n = -15 + 10. Let f = p - n. Which is the nearest to 0.1?  (a) -2  (b) -4  (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j - 4652 = -2*b, 0 = 7*b - 46 + 4. What is the greatest common factor of 319 and j?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*j + 80 = -23*j + 327 for j.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1081 or -1668?\nAnswer: -1668","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-6)\/(-39))\/(107\/(-5564))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = -40*k. Let m(q) be the second derivative of q**3\/6 + 19*q - 1. What is -l(v) - 30*m(v)?\nAnswer: 10*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = -5*x + 3. Let f be j(-8). Suppose 4*i - 42 = -3*k + f, i + k - 22 = 0. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-3393)\/3213 - (-23 - -22). Which is the closest to -1?  (a) f  (b) -4  (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -124755 = -5094*d + 94287 for d.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -61\/2 and -19\/915734?\nAnswer: 915734","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 469659 and 15?\nAnswer: 2348295","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -0.047 times 2204.5\nAnswer: -103.6115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24*z + 418 - 655 + 333 = 0. Let t(v) = -v**2 + 3*v - 2. Let f be t(2). Solve 0*m = -4*x + 4*m, f = -2*x + 4*m - z for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:57 AM and 1:34 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (21960\/780 - 28)\/((-9)\/(-13)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express ((0 + 0 - 2)*(-14*j + 17*j + 19*j) - 20*j + j - 20*j + 6*j)*(2 - 1 - 2) in the form b + a*j and give a.\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*o**3 - 609*o + 1828*o - 610*o - 616*o + 2*o**3.\nAnswer: 4*o**3 - 7*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-4)\/16)\/((-1)\/4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -14, -218, -760, -1808, -3530, -6094?\nAnswer: -9668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -100221000 - 101100?\nAnswer: -101022100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9 is divided by ((-28)\/(-6))\/(10*(-9)\/(-135))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 127 + -57. Let b(j) = 4*j + 120. Let n be b(-4). Let d = n - x. Calculate the highest common factor of d and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -1, 1.2, 3\/5, -87\/7, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1760 by -352.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + 5*(2*sqrt(567) + 1 - (-1 + sqrt(567)*-1))*-2)**2.\nAnswer: 12420*sqrt(7) + 510829","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 966266879?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y = 2*d - 3*d + 17, d - 2 = y. Let x(w) = -3*w - 7. Let z(v) = -2*v - 3. Calculate y*z(c) + 2*x(c).\nAnswer: 4*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert 21.36591 nanoseconds to days.\nAnswer: 0.000000000000247290625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -13.9 + 15.4. Put r, -1, -2 in decreasing order.\nAnswer: r, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -77 - -99. Let l(s) = 4*s + 19. What is the remainder when l(17) is divided by h?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 309\/6 - 1 - 9\/(-6). Let q = 108 - y. List the prime factors of q.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 17*a**2*c*x - 14*a**2 - 814*a*c*x - 3641*x wrt c.\nAnswer: 17*a**2*x - 814*a*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = l**3 - 28*l**2 - 29*l + 4. Let v be i(29). Which is the biggest value?  (a) 0.1  (b) v  (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 123  (b) 1010\/11  (c) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -160 + 166. Let y(k) be the second derivative of 0 + 5\/2*k**3 - 3\/20*k**5 - 1\/10*k**h + 3\/4*k**4 - 4*k + 3*k**2. Let y(s) = 0. Calculate s.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-43 - (-38 - -31 - 24)) + 93 + -2 + 2?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/1*49*(-16)\/168?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -374*q + 0*q**2 + 421*q + 15 - 2*q**2 - 2*q**3 - 17 to the form a*q**3 + d + j*q**2 + o*q and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15*a**4 - 568*a**3 + 1321*a**2 + 1634*a - 240 = 0.\nAnswer: -40, -1, 2\/15, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + sqrt(75) + -3 + (0 + -4*sqrt(243))**2.\nAnswer: 5*sqrt(3) + 3886","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 2  (b) -1  (c) 9  (d) 3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*n - 10 = -i, n + 5 = 461*i - 457*i for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is d in -2*d**3\/5 - 61094*d**2\/5 + 2937426*d\/5 + 1872414 = 0?\nAnswer: -30595, -3, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = -9*b**3 + 7*b**2 - 7*b + 13. Let t = -316 + 314. Let y(u) = -3*u**3 + 2*u**2 - 2*u + 4. Calculate t*l(r) + 7*y(r).\nAnswer: -3*r**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -1.8167*-11\nAnswer: 19.9837","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {v: 8, i: 1, h: 2, a: 4, q: 1, c: 4}. Give prob of picking 2 v, 1 i, and 1 h.\nAnswer: 56\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = q**2 + q - 1. Let w(p) = -7*p**2 + 2*p + 5. Let l = 57 - 54. Suppose -4*j - 1 = -l*j. Let s(f) = j*w(f) - 6*b(f). Calculate s(6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.0534 and -26?\nAnswer: -1.3884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence lsl when three letters picked without replacement from {l: 5, a: 10, s: 4}?\nAnswer: 40\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by -6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 2501316 - 25035189\/10. Let h = f + 2212. Find the common denominator of ((-204)\/(-10))\/((-45)\/(-50)) and h.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -171 + 337. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0 - -4. Let s be 2\/4*m\/(-2). Let z = -7.5 - -8. What is the third biggest value in s, -2, z?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = 2 + 0 + 102*y**2 - 3*y**3 - 101*y**2. Suppose -4*d - 6 = -d. Does 10 divide c(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 43*b - 50*b + 21. Suppose 0*z - 3*n = 5*z - 1222, -3*z = -b*n - 714. What are the prime factors of z?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 38 - 35. Find the second derivative of -10*a + 66*a**2 - 30*a**2 - n*a wrt a.\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = 2*q - 11. Let u(f) = 12*f**2. Determine b(u(r)).\nAnswer: 24*r**2 - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = -p**3 - 14*p**2 + 36*p + 72. Determine f(-16).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = 72*f - 115. Let w(n) = -15*n + 23. Calculate 4*j(q) + 19*w(q).\nAnswer: 3*q - 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) be the third derivative of b**5\/60 - 3*b**2. Let j(d) = 6*d**2 + 13. Let f(v) = v**2 + 2. Let k(q) = 39*f(q) - 6*j(q). What is k(n(p))?\nAnswer: 3*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*w**4 + 55*w**3 + 615*w**2 - 1720*w + 700 = 0. What is w?\nAnswer: -7, 1\/2, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 644 minutes before 12:43 AM?\nAnswer: 1:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = -4*o**3 + 3*o**2. Let x(y) = 23*y**3 - 17*y**2. Let k be 1\/(-2*(-3)\/(-30)). Let h be (-6)\/k*(3 - 8). What is h*x(m) - 34*d(m)?\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 n and 1 a when three letters picked without replacement from niauiinnpulp?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) -4  (b) 18  (c) 2  (d) -105\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in seven quarters of a hour?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -89, -191, -293?\nAnswer: -395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = c, 19 + 5 = -5*v - 3*c. Is -15 + 1387610\/56 + v\/4 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -a + 13 + 6. Suppose a - 52 = -3*u. Calculate the remainder when 32 is divided by u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 73476.98 kilograms to grams.\nAnswer: 73476980","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*k + 5*v = 47, 2*v = -0*v - 0*v - 6*v + 4*v + 12 for k.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/(-140)*(-5)\/3?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 9.046404 decades?\nAnswer: 90.46404","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 51 - 15. Let p = 51 - i. Suppose 0 = -p*j + 10*j + 2065. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + -1*sqrt(175))**2 + 5 - (sqrt(42) - (sqrt(42) - sqrt(3402)*1))\/(sqrt(96)\/sqrt(4) + sqrt(6)).\nAnswer: 37*sqrt(7) + 196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 163331 is divided by 117.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1541903?\nAnswer: 11, 12743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -34.4 + -7.6. Let o = 29 + z. Which is smaller: o or -0.02?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 101?  (a) 765  (b) -2\/13  (c) -2\/9  (d) -0.022  (e) -3  (f) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hys when three letters picked without replacement from {y: 1, a: 6, h: 1, r: 2, s: 2}?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -11 + (-5 - (-16 + -6)) + -6\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 16*d**2*j**3 - 167*d**2 + 3*j**4 wrt j?\nAnswer: 48*d**2*j**2 + 12*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z - 5 = -3*z - 2*v, 0 = 5*z + 5*v - 20. Which is the nearest to -1?  (a) 0.12  (b) 0  (c) z  (d) -5\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = p**3 + 8*p**2 + 6*p - 5. Suppose -8*l - h - 11 = -4*l, -4*l - 13 = -h. Let u(s) = 2*s - 1. Let d be u(l). Give z(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -2986, -5968, -8950, -11932, -14914?\n\"Answer: -2982*u - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -1929 not equal to -1928?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 4734375 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 70 - 769\/11. Let h = 0.08 - 0.38. Let f be 20\/2*(-1)\/(-2). Which is the closest to h?  (a) 0  (b) f  (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -7118800 rounded to the nearest one million?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 988\/(-52) + 14 - -19.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"}
{"text":"Question: Round 44000 to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t + 0*t + 24 = 4*v, -3*v = 2*t - 4. Suppose t*l - 10212 = -4*l. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8593517.\nAnswer: 17, 505501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (405\/780)\/3*16\/6.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is (105617\/(-124))\/(4\/(-48)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 117 and 325.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is fifteen quarters of a week in minutes?\nAnswer: 37800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6486 divided by -1570.\nAnswer: -3243\/785","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + (sqrt(80) + (sqrt(80) + -2 - sqrt(80)))*-2 + 1 + -4*sqrt(80)*-3)**2.\nAnswer: 640*sqrt(5) + 8064","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*x = 2*x - 4. What is the greatest common factor of 3 and x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 2\/5  (b) 0.1  (c) -0.5  (d) -65\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 63*f**3*p**2 + 3*f**3*p - f*p**2 + 5651*f + 28*p**2 - 5*p wrt p.\nAnswer: 126*f**3 - 2*f + 56","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 1\/7 - 78*(-5)\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -44\/364273 and -121\/700?\nAnswer: 36427300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = 2*q**4 - 2*q - 1. Let w(i) = -5*i**4 - 9*i**3 + 8*i**2 + 6*i + 3. Let p(h) = 3*r(h) + w(h). Factor p(t).\nAnswer: t**2*(t - 8)*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 0.07 and 34839.\nAnswer: 34839.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 79\/536 and -43\/3?\nAnswer: 1608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 20\/11 - 67\/55. Is w at most -16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4078 is divided by 227?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Work out -142 * -721349.\nAnswer: 102431558","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13 = 3*f - 5*o, f + 5 = 3*o - 6 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 108 + -82. Solve 1 = -m + 6, 4*h - 2*m = -o for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 33352297?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 3103953 * 54\nAnswer: 167613462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 7 - 5. Let t = -1 + 4. Solve 3*r - 2*q - t = 0, 2*q = 2*r + w*r - 4 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 605 minutes after 5:11 AM?\nAnswer: 3:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 3, s: 4, x: 2}. What is prob of picking 2 s?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = -h**3 - h**2 + 5. Let c be k(0). Let f = 32 + -15. Suppose 163 = c*a - f. What is the greatest common divisor of a and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-13)\/3276*-18*14?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*j - j = 3*d - 19, 5*j = 4*d - 40 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 1 + 1 + 0 + (11 - 17)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 370 - 370. Let g(w) be the first derivative of 0*w**2 + 3\/4*w**4 + 2*w**3 + y*w + 5. Factor g(v).\nAnswer: 3*v**2*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence eb when two letters picked without replacement from {e: 1, b: 11, h: 2}.\nAnswer: 11\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = -16708*d**2. Let i(u) = u + 25. Determine i(h(s)).\nAnswer: -16708*s**2 + 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = 5*d - p, 0*p + 2*p + 6 = -3*d. Suppose -3*o + 2*o + 87 = d. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 187 + -181 - (0 + -73) - (11 - 1)?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1.12704 + 0.12704. What is the third smallest value in -1\/4, -2, l, -0.1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -d**2 + 39*d*s + s - 297 wrt d.\nAnswer: -2*d + 39*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 39, 27319, -0.2?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 0.1, -1\/3, 0.4, -2, -1\/30, -1\/566?\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -321072327185 - 0.022?\nAnswer: -321072327185.022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 582 minutes after 3:20 PM?\nAnswer: 1:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*j - 12 = -3*j - w, 4*w + 3 = 5*j. Suppose 11 + j = 2*p. Solve 3*y = p*n - 2*n + 4, 3*n = 3*y for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = -5*g - 1. Let y(o) be the second derivative of -o**3\/6 + o. Let c(z) = -z**3 - 74*z**2 - 112*z + 2298. Let d be c(-72). Give d*y(a) + b(a).\nAnswer: a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 773948434.\nAnswer: 2, 7, 1297, 6089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 4, h: 1, z: 3}. What is prob of picking 3 z?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-1 - 1 + 0)*(1 - x**2 - 1) - x**2 - 3*x**2 - 38 + 36 to a*x**2 + s*x + b and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 11, -1, 0.4 in decreasing order.\nAnswer: 11, 5, 0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1\/9491 - 863697\/151856. What is the common denominator of r and 95\/68?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*n**4 - 3*n**3 + 4*n**4 + 2*n**2 - 4*n**4 + 4*n**3 - n**5.\nAnswer: -n**2*(n - 1)*(n + 1)*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 52252\/(-672) + 48\/128. Let b = q + 544\/7. Factor t**2 - 1 + b*t - 1\/3*t**3.\nAnswer: -(t - 3)*(t - 1)*(t + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g + 5*g = -4*f - 20, -4*f = 3*g + 20. Let j(b) = -10*b + 82. Let t be j(8). Solve -2*q + t*l + 2*l + 22 = g, -5*q + 5*l + 40 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -8876238 rounded to the nearest 100000?\nAnswer: -8900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t + 12 = 2*v - 4, -t = -5*v + 34. Calculate the remainder when ((-324)\/3)\/(-4) + 0 + 2 is divided by v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 211212 (base 4) to base 15.\nAnswer: aa6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -3, 3, -1, 5.\nAnswer: -3, -1, 0, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((-1 + sqrt(343)*-1 + sqrt(343))*5 + sqrt(343) + sqrt(343)*1 + 2 + 1 + -1 + sqrt(343))**2 + -3)*-2.\nAnswer: -6186 + 252*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = i - 3*s + 9, 2*s = 2*i - 0*s + 6 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = 3*i**3 + i. Let a be y(5). Let t = a + -221. Suppose 2*r + t = 5*o - 178, o = -5*r + 62. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qi when two letters picked without replacement from {q: 3, i: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = -6*b**3 - 2*b**2 + 3*b + 4. Let r be z(-1). Factor 0*y + 0*y**2 + 0*y**4 + 1\/6*y**r + 0 - 1\/6*y**3.\nAnswer: y**3*(y - 1)*(y + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 (base 11) to base 5\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 3, -3, 25, -4, -5 in decreasing order.\nAnswer: 25, 3, -1, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0036375 rounded to five decimal places?\nAnswer: 0.00364","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x\/(x**(-1\/13)\/x))\/(x**(-2)*x))\/(x**(-4\/9)*x*(((x*x**(-2\/7))\/x)\/x)\/x) assuming x is positive.\nAnswer: x**(3937\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.584947694 rounded to 4 decimal places?\nAnswer: 1.5849","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = 5*v - 5. Let q be r(1). Let a(s) be the third derivative of -5*s**2 + 1\/12*s**4 + q*s + 7\/6*s**3 + 0. What is a(-6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 30002 and 224?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -162.2 - 600.8. Let o = n + 762.999972. What is o rounded to five decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -50131218 + 644\nAnswer: -50130574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = 10*m + 23. Let f be x(-2). Suppose -f*d - 808 = 1070. Round d to the nearest 10.\nAnswer: -630","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1010112 - -10?\nAnswer: -1010102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = 283*s**2 - 224*s + 102. List the prime factors of l(13).\nAnswer: 7, 59, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -7461 - -992322\/133. What is the common denominator of n and -5\/3952?\nAnswer: 27664","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = g**2 + 15*g + 52. Let a be x(-10). Let z = -5 - -11. Solve -c + a*c = p - z, -20 = 5*c for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 32 + 9515*o - 330*o + 6.\nAnswer: 9185*o + 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1701431?\nAnswer: 19, 149, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = 2*a**3 - 222*a**2 + 1826*a + 555. Calculate z(102).\nAnswer: -465","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = 152*d**3 + 3*d**2 - 6*d + 23. Does 44 divide x(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -635763, -1273163, -1910563, -2547963?\n\"Answer: -637400*n + 1637","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 22880997?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 13*v + 76316 - 76316.\nAnswer: 13*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is -17\/243788 greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ez when two letters picked without replacement from zypyencnynzn.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = -2*v**2 - v - 1. Suppose -3*d + 1 - 2 = 5*u, 0 = -4*u - 2*d. Let g(z) = 136*z - 269*z + u + 2*z**2 + 134*z. Give 6*g(s) + 7*k(s).\nAnswer: -2*s**2 - s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in twenty-seven quarters of a gram?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 1295, 2, 4\/5, 4 in descending order.\nAnswer: 1295, 4, 2, 4\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -210 + 359. Let j = m - 148.9. Which is greater: j or -4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10161854*v = -10161935*v - 1377 for v.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-1)\/(2\/(-4)*1). Let z be -5 + d - (-4 - 1). Suppose -3*o - 5*n + 8 = 0, -1 = -z*o - 2*n + 3. What is the greatest common divisor of o and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 5, c: 1, d: 2, e: 1, b: 2, g: 2}. Give prob of picking 2 c.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = w + 12. Suppose 1 = 4*i - 3, 2*z + 17 = -3*i. Let d be p(z). Let 7*h + d*h - 8*h + 3*h + 4*h**2 = 0. What is h?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1780, 1807, 1866, 1957, 2080?\nAnswer: 2235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (4 - (-4 - -13)) + (8 - -15) + -8.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 2\/(-4) + (-9)\/(-2). Let s(r) = 13*r**2 + 2*r - 5. Let p be s(t). Suppose 39 = 5*h - p. List the prime factors of h.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2564653997 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express (n + 0*n - 3*n)*(-4 + 1 + 1) + (2*n + 3 - 3)*(-1 + 1 - 3) as c*n + p and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1554.\nAnswer: 2, 3, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1974367127?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 0.85, -2\/3, -1.9, -38, 1\/5?\nAnswer: 0.85","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u = -4*h - 3*u - 52, h + 7 = 5*u. Let z = h - -47\/4. Which is the second biggest value?  (a) z  (b) -0.1  (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.3 + 0.1. Let o = 1129 + -1122. What is the nearest to 11 in -5, s, o, -1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 24*t**2 + 2*t**2 + 34*t**2 + 100.\nAnswer: 60*t**2 + 100","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -1883635854.9 less than 25.73?\nAnswer: 1883635880.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:05 PM and 8:50 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = -3*x - 113. Let y(d) = -19*d. What is y(g(s))?\nAnswer: 57*s + 2147","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = -82*n + 5. Is z(-11) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -16*g - 9*g + 23*g + 361*g**2 - 361*g**2 + g**3 + 4*g**3.\nAnswer: 5*g**3 - 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 123 minutes before 2:03 PM?\nAnswer: 12:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -1\/5, -0.3, 2\/11?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = 38*t**2 - 138*t + 6. Let j be k(8). What is the highest common factor of 522 and j?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15109 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 20 and 11176.\nAnswer: 55880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -3 - (30 + 3)*(1 - 2). Let b be 2\/11 - (-438)\/11. List the prime factors of (t\/(-8))\/((-5)\/b).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 + -14 + -13 + 20?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -53  (b) 3\/5  (c) -4.2  (d) -0.4  (e) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-1 + 6*n + 1)*(-2 + 5 - 4) - 3*n - 14*n + 4*n)*(1 - 4 + 12).\nAnswer: -171*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w**(-2\/15)*w)\/w)**(-49)*(w*w**(-4\/13))\/((w*w**(-2))\/w) assuming w is positive.\nAnswer: w**(1799\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a*a\/((a*a**3)\/a*a))\/(a*a**8)*a**(-7)\/a**8 assuming a is positive.\nAnswer: a**(-26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 2187760 a multiple of 140?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.36 - -0.36. Which is smaller: 7 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 42 = 3*a - n, 5*a - 47 - 23 = -2*n. Suppose a*l + 158 = 214. Solve -4*y = -l*s, -6*s + 3*s - 30 = 3*y for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1152 + -1152. Is c at most 158?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 62\/49 less than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = -y**3 + 10*y**2 - 10*y + 11. Let d be t(9). Suppose 0 = d*g - 7*g + 10. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 390298910257 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Product of -234.6 and -3.\nAnswer: 703.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = -h**2 - h - 1. Let z(o) = -604*o**3 + 68*o**2 + 68*o + 68. Calculate 408*n(k) + 6*z(k).\nAnswer: -3624*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 104 and 6136?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nkn when three letters picked without replacement from {k: 4, h: 4, g: 2, n: 4}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3730777?\nAnswer: 3730777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-1)\/(-3) + 19\/(-21). Let i = 531\/28 + -77\/4. Let t = -96.8 - -97. Sort t, 0.4, i, o in increasing order.\nAnswer: o, i, t, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = -g**3 - g**2 + g + 1. Let d(t) = -2. What is -d(n) - 2*u(n)?\nAnswer: 2*n**3 + 2*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = x + 9. Let w be q(-4). Is 1 + 1577 + (120\/w)\/(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -51*c - 44*c = -27*c - 1077 - 3207 for c.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m = -c + 28, 1621*c = 1623*c - 2*m - 56. Suppose -4*z = -4*d - 128, 0*z + 104 = 4*z + 2*d. What is the lowest common multiple of z and c?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -491944*d**3 + 3*d - 3*d + 491941*d**3.\nAnswer: -3*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Work out 111 * 0.5.\nAnswer: 55.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (20\/6 - 1\/3)*6. Suppose -13*p + c*p + 430 = 0. Let g = p + 98. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c = 2*c. Suppose -4*y - w + 45 = 0, c = -5*y - 4*w + 36 + 34. Suppose s - y = 3. Does 13 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = h**3 + 7*h**2 + 6*h + 9. Let i be q(-6). Let p = i - -11. Calculate the lowest common multiple of 2 and p.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -6 - 36. Let g = r + 43. Let o = 4 - 3.5. What is the third biggest value in o, g, 2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 80328 and 19.\nAnswer: 1526232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kk when two letters picked without replacement from kkkkkkkkkkkkkoknkkk?\nAnswer: 136\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 5*602748\nAnswer: 3013740","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3237*z + 104 = 6462*z - 3238*z for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2*1\/(-4))\/((-13)\/26*17)?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide 259 by -1.\nAnswer: -259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 30*a = 50634 - 49944 for a.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -55*k + 12*k - 2 + 14*k**2 + 43*k + 2.\nAnswer: 14*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 474 + -466. Solve -k = 9*i + 28 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-1*24)\/(-6))\/10?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 19194*q + a - 3 = 19196*q, 0 = -32*q - 3*a - 143 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 51*w - 1607 - 229 = 0. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 649 - 634. Suppose 2*h = -4*f + h + 107, 0 = 5*h - a. What is the highest common divisor of f and 234?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 891, 241, -453, -1191, -1973, -2799?\nAnswer: -3669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ibb when three letters picked without replacement from rveibbbffbreb?\nAnswer: 5\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -323 + 530. Suppose 2*u = b + 43. Suppose 5*i = -3*n + 83, 4*n - n = -2*i + 71. Calculate the remainder when u is divided by n.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = -s**3 - 130*s**2 + 22*s + 3016. Determine o(-130).\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 78?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 97*t**2 - 231 wrt t?\nAnswer: 194*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 33\/14 bigger than 2325?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.752623 years in millennia?\nAnswer: 0.001752623","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -183805, -183640, -183477, -183316?\nAnswer: -183157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 854792 divided by -10.\nAnswer: -427396\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 289648536?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l - 12*p - 290 = -16*p, 0 = p - 5. Does -57 = l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-44*(-66)\/40656)\/((-15)\/(-36))\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 152052, 152042, 152036, 152034, 152036, 152042, 152052?\nAnswer: 152066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(-32)*j*j*j*j\/((j*j**(19\/4))\/j))**(-3) assuming j is positive.\nAnswer: j**(393\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6, 755, 347 in increasing order.\nAnswer: -6, 347, 755","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = d**3 + 3*d**2 + 2*d - 2. Let u(a) = -2*a**3 - 4*a**2 - 2*a + 3. Determine -6*j(o) - 4*u(o).\nAnswer: 2*o**3 - 2*o**2 - 4*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -213, 303, 1633, 4185, 8367?\nAnswer: 14587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l = -l - 0*l. Solve 4*r + 11 + 1 = l for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 23 - 6996*j + 3950*j - 5581*j.\nAnswer: -8627*j + 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 + -5 + (-1 - -6 - 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 t and 1 m when two letters picked without replacement from {q: 1, t: 3, p: 1, b: 1, m: 6}.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2*c**3 + c**2 - 3427*c - 24989.\nAnswer: 6*c**2 + 2*c - 3427","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 1 + (-32)\/(-4) + 2. Let y(f) = r + 14*f**2 + 3*f + f**2 + 8*f**2. Let z(k) = 8*k**2 + k + 4. Calculate -6*y(d) + 17*z(d).\nAnswer: -2*d**2 - d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 8445, 16953, 25461?\nAnswer: 33969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = -2*g**2 - 5*g + 5. Let l(z) = -4*z**2 - 11*z + 11. Calculate -4*l(u) + 9*m(u).\nAnswer: -2*u**2 - u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 34\/7 and 1\/53.\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 46 - 8494.\nAnswer: -8448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (26\/4 - 8)*(-298)\/1. Suppose 0 = -4*d + 2*u + 3025 - t, 3*d - 1935 = 3*u. What are the prime factors of d?\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-14)\/(-4) + 5 + (-2265)\/1050. Which is bigger: 5 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:09 AM and 3:07 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 100201211002210122 - 11?\nAnswer: 100201211002210111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0 + 0 - 3*u + (-3 - 3 + 4)*(0*u + 0*u - 2*u) + 2*u + u + 0*u + (-u - 1 + 1)*(1 + 2 - 4) - 2*u + 0*u + 4*u.\nAnswer: 7*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 634, 1270, 1906, 2542, 3178?\n\"Answer: 636*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1497, -1009, -521, -33, 455, 943?\nAnswer: 1431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*f + 25*f = 34*f + 1938. Sort 3, 4, f.\nAnswer: f, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 3157460 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(5184) - -4*sqrt(5184))*-2 + sqrt(5184) + sqrt(5184))\/(sqrt(972) - -3*(sqrt(972) + sqrt(972)*4 + sqrt(972))))**2*3.\nAnswer: 1024\/361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -58.57 + -1.43. Let i = f + 60.4. What is the nearest to -3 in -0.06, -5, i?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -6\/818735417 > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 2, y: 1, h: 11, f: 2}. What is prob of picking 1 y and 1 f?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_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 s(r) = -2*r - 17. Let y be s(-12). Let z(c) = y*c + 3 + 0 - 11 + 2*c**2. List the prime factors of z(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 99\/(-2)*3846\/7051.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 93940 is divided by 11741.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 218 = 2*n + 30. Let a = n - 53. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 6 + 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -47*b + 306 = -211 for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0 - 166\/3*t + 27*t**2 + 1\/3*t**3.\nAnswer: t*(t - 2)*(t + 83)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -4 - -5405?\nAnswer: 5401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2538202301?\nAnswer: 14243, 178207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from dfeedesefcgssc. What is prob of picking 2 e, 1 c, and 1 f?\nAnswer: 24\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 16*(-2 - 5\/(-2)). Suppose x*r + 12600000 = 11*r. What is r rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*b**3 - 6*b**3 + 14*b**3)*((-3*b + 5*b - 4*b)*(3 + 1 - 5) - 2*b + 0*b - 2*b).\nAnswer: -20*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = 4*t**3 + t**2 + t - 1. Let y be w(1). Which is the nearest to -0.1?  (a) -0.2  (b) y  (c) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l + 1 = -1. Let v be -3*l + (-11 - -10). Is (9\/v)\/((-12)\/32) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-54)\/14 - (-1580268)\/508592\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = 3 + 1 + 1 + v. Let d(g) = -4*g - 14. Let y be (-75)\/21 + 3 - (-351)\/63. Calculate y*d(l) + 14*u(l).\nAnswer: -6*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 48 - 23. Suppose 0 = 3*g - 9. Solve 0 = 2*y + g*y + i for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 34362.66ml to litres.\nAnswer: 34.36266","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = -13246*q - 119221. What is w(-9)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/7 in 200, 1, -4, -518\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (6\/84*39\/65)\/(1\/5)?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/6 in -52, 0.5, -2\/7, 7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = i - 1. Let a = 5 - 2. Let j be f(a). Factor j*n**3 + 6 + 3*n**2 + 0*n**3 + 2 - 9*n**2.\nAnswer: 2*(n - 2)**2*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 25 and 0.09428.\nAnswer: 25.09428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -23*d**4 - 149*d**3 - 55725*d**2.\nAnswer: -552*d - 894","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (553\/395)\/(1\/(-5)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 230 and 161.\nAnswer: 1610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 560 and 2100?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-3)\/(-3) - 4)*29\/(1305\/(-285)). Solve -15 = -3*n + 13*q - 10*q, d = 2*n - 5*q for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -31920 rounded to the nearest 1000?\nAnswer: -32000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 466 divide 118830?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 97 minutes before 4:57 PM?\nAnswer: 3:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 12\/(-54) + 497\/9. Suppose 0 = -z + 62 - i. Is z a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 58*u - 4 = -c + 60*u, -5*u - 9 = -3*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*k = 16*b - 68, 2*k = -b - 794 + 791 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -17c38 - -1d?\nAnswer: -17c19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 1.2 and 17?\nAnswer: 20.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is z in -z**4\/3 - 107*z**3\/3 + 2044*z**2\/3 - 7888*z\/3 + 1984 = 0?\nAnswer: -124, 1, 4, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -30*q + 60 = 0, 120*f + 5*q + 10 = 60*f + 62*f for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2197*c**2*r**2 + 5121*c*r**2 wrt c?\nAnswer: 4394*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -93\/58468 and -93\/380042?\nAnswer: 760084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -11 + (-18 - -13) + 9 + (-1 - -1).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + u - 1)*(2 - 4 + 3) + u + u - 4*u + (-1 + 1 + 2*u)*(5 - 2 - 1) - 20*u - 8*u + 5*u.\nAnswer: -20*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f = -4*y + 13, -4*f = 13 - 1. Suppose -2*g = 2*o - 10 - 4, 5*o = -g + 27. Sort y, g, 0 in increasing order.\nAnswer: 0, g, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 1\/6, -3, 14, 0.3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -35 = -5*u + 2*s + 3*s, -3 = s for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = 187*u + 34. Let j(a) = -17*a - 3. Let i = -3766 - -3769. Give i*l(m) + 34*j(m).\nAnswer: -17*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*((sqrt(72) - (3*sqrt(72) - sqrt(72))*-1)*-2*3 + 4))**2.\nAnswer: -7776*sqrt(2) + 210096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from iiiwiiiviiiiiiiiiii. Give prob of sequence ivi.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 8908718569 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1525268 by -4.\nAnswer: 381317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-4 - -1)*6\/27. Put -1\/6, 1\/4, b in descending order.\nAnswer: 1\/4, -1\/6, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + (4 + -2*sqrt(1008))**2 + -3.\nAnswer: -192*sqrt(7) + 4043","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*g**2*v - 2786470*g**2 - 3*g*v + 2*g - 498*v + 675 wrt g.\nAnswer: 4*v - 5572940","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.2 - -10.9. Let u = 11 - m. Let p = -842 - -846. Which is the closest to 1?  (a) u  (b) p  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 1, 8.61, 3\/8, 0.8, 5?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 0 - (-3)\/(-2 + -1 + 4). Calculate the lowest common multiple of x - (3 - 0 - 3)\/(-2) and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -8 divided by 180409.\nAnswer: -8\/180409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Determine d so that d**4\/8 - 81*d**3\/2 + 2535*d**2\/8 - 553*d\/2 = 0.\nAnswer: 0, 1, 7, 316","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express 6 + 1 + 13*g**2 - 25*g**2 + 9*g**2 in the form h + p*g + q*g**2 and give h.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -3551 - -3550. Is 2\/38467 >= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -30*q**5 - 114*q**2 - 2?\nAnswer: -1800*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = -o**3 - o**2 - o. Let k be t(-1). Let z = -4 - k. Let a(w) = -w**3 - 4*w**2 - 5*w - 4. Let m be a(-3). Put z, m, -2 in ascending order.\nAnswer: z, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 40*k - 8835 = -115*k. Solve 4*s + k = 85 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(120)*-3 - sqrt(120) - sqrt(120)) + sqrt(120))*2)\/(sqrt(42)\/sqrt(175) + -5*(sqrt(6) - sqrt(96))).\nAnswer: -20*sqrt(5)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -124413 - -4?\nAnswer: -124404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 e and 1 s when three letters picked without replacement from ssnnsnesnesn?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((s\/s**(-1)*s*s**(2\/9)*s)**(5\/2))**(-7))**(-10) assuming s is positive.\nAnswer: s**(6650\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 4\/12 + (-901)\/(-3). Let o = g + -300. Let o*d**2 + 2\/3*d + 0 = 0. Calculate d.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 26 and 3380.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b - 3*t + 691 - 87 = 0, 0 = 5*b + t - 3062. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = -4*h**3 + 2*h**2 - 5*h. Let m(p) = 7*p**3 - 4*p**2 + 9*p. Suppose 0 = -0*b - b - 3*f + 21, 4*b = -4*f + 44. Determine b*m(j) + 11*c(j).\nAnswer: -2*j**3 - 2*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 j and 2 i when three letters picked without replacement from jlaljiijjaiqjiai?\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 976 is divided by 49.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -135812 = 2829*a + 745*a for a.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kh when two letters picked without replacement from khhhhkkhhhkhkh?\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = -5*j**5 - 24*j**4 - 64*j**3 - 56*j**2 + 11. Let b(n) = n**5 + 5*n**4 + 13*n**3 + 11*n**2 - 2. Let t(m) = 33*b(m) + 6*g(m). Let t(o) = 0. What is o?\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*b - 5*f = 108 - 111, 5*f - 15 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -655774237*z**5 - 5*z + 104150978?\nAnswer: -13115484740*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 5 - 4. Sort 2, f, 5, 3 in decreasing order.\nAnswer: 5, 3, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = 7 + 1 - 4 - 20*u**2 - 12*u**2. Let d(x) = -65*x**2 + 9. Let q(j) = 3*d(j) - 7*o(j). Suppose 23*p - 25*p = -2. What is q(p)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 27885 is divided by 166.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-3)\/(-6)*-2*-1. Let v be (2 - -2)*(m - 0). Suppose b + b - v = 0. Solve 2*d = -o - 2, b*o + 3*o + 3*d - 11 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -123*-5.\nAnswer: 615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 - (2 - (5 - (10 - 8))).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2*3\/6 + 10\/16?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Do 108165275 and 108165277 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r + 4*g - 11580 = 0, 148*r - 5*g - 11625 = 144*r. Is r a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -59687, -119385, -179083, -238781?\n\"Answer: -59698*w + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -14645, -29259, -43801, -58229, -72501, -86575, -100409?\n\"Answer: 7*o**3 - 6*o**2 - 14645*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) be the first derivative of -1\/4*m**4 + 6*m - 2*m**3 - 9 - 1\/2*m**2. Let p be l(-6). Solve 0*h - j - 4 = -4*h, 4*h + 3*j = -p for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8659273193 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Divide -9945 by 3688.\nAnswer: -9945\/3688","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -145\/148836 and -167\/2370.\nAnswer: 744180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 6 - 4. Suppose 0 = -5*p - 3*i + 63, 5*p - f*i - 58 = -0*p. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3445168, -13780711, -31006616, -55122883, -86129512, -124026503?\nAnswer: -168813856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = 12*n - 5 + 19*n**2 - 23*n**2 - 8*n. Let t be 15\/25 - 426\/10. Let g = t + 35. Let x(b) = 2*b**2 - 2*b + 3. Calculate g*x(l) - 4*u(l).\nAnswer: 2*l**2 - 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 93 - 94. Let z = 79 + -13. Let y = -69 + z. Which is the fourth smallest value?  (a) -0.4  (b) y  (c) 5  (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (13 - 1)\/(532\/38) and -13\/2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3, 7, 17, 27, 37, 47?\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 398304 and 841968.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2 = 16*j + 3*u - 11 - 8, u = 5*u + 1 + 19 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Work out -30 - 0.14114.\nAnswer: -30.14114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: (-11 - (-11 + 9 + -12)) + 9 - 11\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -59 + 166 + 307 - 5*u**3 + 2*u**3 + 4*u**2.\nAnswer: -3*u**3 + 4*u**2 + 414","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 79.5 at least as big as -11820?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 34726358*v**2*z**2 + 5*v*z**2 - 52*v*z + 4*v - 7*z**2 wrt v.\nAnswer: 69452716*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 484456879 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 369140?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 77\/(-504) + (-2)\/9. Let f = -1.9 - 1.1. Which is the closest to 2\/7?  (a) f  (b) -5  (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = b**2 - 2*b + 2. Let t be f(2). What is the units digit of (t - 6*-4) + -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + sqrt(112) + sqrt(112) + -4)*-1.\nAnswer: -8*sqrt(7) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 112458576 to the power of 1\/5, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) be the third derivative of 2*b**2 - 9 + 67\/6*b**3 - 27\/4*b**4 + 0*b. What is the first derivative of g(z) wrt z?\nAnswer: -162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4 = -3*t - 10 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = -2*a. Let b(q) = -q**3 - 3*q. Let z be -8 + (-16)\/(-2) - 2\/(-1). Let n = -2 - -5. Suppose -n*y + 0*y - 9 = 0. Determine y*s(c) + z*b(c).\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) be the third derivative of 1\/8*l**4 + l**2 + 0*l + 0*l**3 + 1\/30*l**5 + 0. Find the second derivative of c(b) wrt b.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -3941\/150 + 261\/10. Let i = y - -1\/25. Let o = -0.04 + 3.04. What is the smallest value in i, -2, o?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 5\/873 - 135385\/12222. Let p = 10 + n. What is the common denominator of p and 99\/20?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -139978 divided by -23\nAnswer: 6086","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-16)\/(-5) - 3 - (-308)\/110. Solve 3 = -a*h + 18 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 30331?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -196 + -146. Let i be 3\/(-15) + k\/(-10). Solve 3*c = 5*z + i, -10 = -5*z - c - 32 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*l + 146 = v, -5*l - 4528 = -4*v - 4640 for l.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -299.6 - -649. Let y = 523.5 - g. What is y rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -3809, -3801, -3793, -3785, -3777?\n\"Answer: 8*k - 3817","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 6\/2*2*(-3)\/6\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4\/(-10))\/((-4716)\/3275).\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -15 + 2016\/(-308) + (-12)\/(-22)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 132\/220 + 68\/20. Solve -32 = 4*z + 4*u - s, 0 = -2*z - 3*u - 16 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -g**3 + 53 - 3*g - 2*g**2 + 0*g - 52. What is the tens digit of s(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = m + 4. Let h be n(0). Suppose g + 4*a = 0, h*g = g - 3*a. Suppose -2*o + 1 + 7 = g. Solve 4 + o = 2*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rrrerrrrrer. Give prob of picking 2 r.\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 39 a factor of 460?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.645 - -2.2468. Let j = 7 + -5.4. Let l = p - j. Round l to three dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-2)\/22 - 371\/(-693). What is the closest to 5\/2 in 1\/3, -2, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -155, -156, -157, -158, -159?\n\"Answer: -g - 154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 108421\/724 + -1\/362. Let f = l + -149. Determine o, given that -3\/2 - f*o**2 - 9\/4*o = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3653*r**3 + 1835*r**3 + 1820*r**3.\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*c + 2*a + 103572, 0 = -c - 216*a + 211*a + 51780. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8710 is divided by 507?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*m - 2*m - m)*(-189*m - 188*m + 5 - 4*m**2 + 384*m).\nAnswer: -4*m**3 + 7*m**2 + 5*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = -3*k - 2 + 3*k**3 + 3*k**2 - 2*k**2 + 2*k**2. Let d = 35714 + -35707. Let v(s) = -6*s**3 - 7*s**2 + 7*s + 5. Calculate d*f(g) + 3*v(g).\nAnswer: 3*g**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (3 + 7)\/(-2 - -3). Suppose 3*l + x = 4*l. Suppose 4*z + l = 5*s, 2*s = -z - s - 11. Which is the smallest value?  (a) 0.5  (b) -1  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l - 30 = r, -l - r + 22 = -5*r. What is the remainder when 53 is divided by l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 35434 is divided by 138?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 16 - (30 - 19 - (12 - 2))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 4\/7, -1\/4, 5, -17\/3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1944 and 1552284.\nAnswer: 972","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 1, 277, -4, 5 in decreasing order.\nAnswer: 277, 5, 1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-12)\/(-9) - 2\/(-3). Suppose j + 20 = -4*v - 2*j, 0 = 4*v - k*j. Let h(r) = 2*r**2 - 2*r. Is h(v) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 15570 by -45.\nAnswer: -346","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -0.08  (b) -31.1  (c) -5  (d) 613\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = 3*g**2 - 9. Let z(k) be the first derivative of k**4\/12 - k**2\/2 - 4*k + 67. Let x(i) be the second derivative of z(i). Determine m(x(c)).\nAnswer: 12*c**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*t - 1 + 3 + 4*t + (10 + 8 - 6)*(-4*t + 2*t + 4*t) + 2*t + t - 2*t + 4*t - 5*t + 3*t + (3 + 0 - 2)*(-t - t + 3*t) to q*t + h and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -126.093 - -126. Let y = r + 0.093. What is the closest to y in 1, -5, 0.13?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by 39083.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -1729348.19881 take away 1.4?\nAnswer: -1729349.59881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {w: 3, t: 11}. Give prob of picking 2 w and 2 t.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -14\/3 - -65\/12. Let v = -0.1 - -1.1. What is the second biggest value in -2\/7, v, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1002 - -1006. Suppose 0 = -4*i - 12, -2*i + 23 + 11 = 2*s. Solve -p = -0*p - 3*r - 11, -4*r - s = w*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine w so that -4*w**3 + 312*w**2 = 0.\nAnswer: 0, 78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 1545136790 to the power of 1\/2, to the nearest integer?\nAnswer: 39308","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = m**3 - 5*m**2 + m - 10. Let n be d(5). Let p be (-154999)\/(-5) + (-1)\/n. Round p to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ivn when three letters picked without replacement from nwwnznzzzizgwgnnvg.\nAnswer: 5\/4896","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 55 a factor of 837485?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -54262026 divided by 695667\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 4?  (a) -2\/15  (b) -2\/23  (c) -1\/8  (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -26956*c**3*n**2 + 1093*c**3*q - 457*c**3 - 7*c*n**2 + 8*c*n*q wrt n?\nAnswer: -53912*c**3*n - 14*c*n + 8*c*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*a**3 - 7 + 2 + 2 - 2*a**3 - a + a + (2*a**2 - a**2 + 0*a**2)*(a - 4*a + 2*a) + 12*a**3 - 15 + 15 as g*a + s + k*a**2 + t*a**3 and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 665, 1330, 1997, 2666, 3337?\n\"Answer: j**2 + 662*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:56 PM and 9:42 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {u: 5, g: 3, l: 3}. What is prob of sequence uugl?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 18.9 times -86?\nAnswer: -1625.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 221 is divided by 67.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = -19*d. Let p(j) be the third derivative of -j**7\/420 - 47*j**4\/8 + 149*j**2. Let t(h) be the second derivative of p(h). Determine o(t(b)).\nAnswer: 114*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-6)\/(-4))\/((36\/40)\/3). Suppose 4*i - 5 = -i, 4*n + b*i - 57 = 0. What is the remainder when 103 is divided by n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = 5. Let p(n) = -83*n + 13. Calculate p(a) - 2*s(a).\nAnswer: -83*a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = 112*a**2 - 38*a - 151. Is w(22) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 o, 1 b, and 1 l when three letters picked without replacement from {m: 2, l: 3, b: 10, o: 3}.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = -34*r**2. Let o(y) be the third derivative of -y**4\/12 + 8*y**2. What is m(o(i))?\nAnswer: -136*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = s**3 - 14*s**2 - 9*s - 13. Calculate o(-3).\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = 5*p - 6. Let o(b) = 6*b + 13*b - 8*b - b - 11. Let f be (22\/(-6))\/(1\/(-3)). Determine f*i(c) - 6*o(c).\nAnswer: -5*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k = -5*w - 234, 4*w - 76 = k + 41. Suppose 3*v = 5*y + 817, -1065 = 5*y - 2*v - 247. Let q = k - y. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6267188 minus -0.8?\nAnswer: 6267188.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round -93745680 to the nearest 1000000.\nAnswer: -94000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -130*b + 700*b - 1053 = 40557 for b.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -247 - 15115175?\nAnswer: -15115444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1608 - 1294. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -43975.7 take away -0.84637?\nAnswer: -43974.85363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1967638593.\nAnswer: 3, 15497, 42323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -3.01 + 0.01. Let w be (-1 + 14\/18)*-3. Which is the second biggest value?  (a) d  (b) -1\/2  (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6 + (6 - 0) + -1 - -6.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1544379135?\nAnswer: 3, 5, 13, 7919893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -57\/1193516 and 1\/778380.\nAnswer: 17902740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = 2*m**3 + 31*m**2 - 28*m - 22. Let h be f(-16). What is the highest common divisor of h and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 11 + (11 - 9) + -4 + 4 - 1\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 64 and 480?\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4 - (4 - 7 - -3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -7079 - -7081. Suppose 6 + 16\/9*u**3 + 0*u - 4*u**a - 2\/9*u**4 = 0. What is u?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) be the first derivative of 1807*v**6\/3 - 4*v**3 - 10*v**2 - 208. What is the third derivative of r(h) wrt h?\nAnswer: 216840*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 4314 - 4309. Which is the third biggest value?  (a) g  (b) -0.3  (c) 6  (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = 2*m**2 - 12425*m + 49669. Give v(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4501*c + 4505*c + 20 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -39*a - 14*a = -209827. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = 2*t + 2*a, 30*a - 29*a = 0. Solve -12 = -2*h - 5*p, 4*h + t - 5 = -5*p for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3.22474 times 0.606\nAnswer: -1.95419244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 3\/2 + -1 + 0. Let w be (-85)\/(-34)*-1*2. Which is the nearest to l?  (a) -1  (b) w  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000012510868 rounded to 5 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:20 PM and 7:10 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 2 - 3*z)*(-20 - 71 + 19).\nAnswer: 216*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j - 5*o = 0, -j + 7 = 2*o + 22. Let t = -1.1 - -0.1. Let d = -2736 + 2739. Which is the closest to j?  (a) d  (b) t  (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = -b**2 + 11*b + 28. What is g(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 979 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 30458?\nAnswer: 2, 97, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*z**3 - 4*z**2 + 0 - 3*z + 4*z + 2 in the form q*z**3 + y*z**2 + g + h*z and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 13*g + 3*g - 12*g**2 - 17*g to the form m*g**2 + i + t*g and give m.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + sqrt(171)\/(sqrt(9) + sqrt(72)\/sqrt(2)) + -1 + 4 + 0)*-5.\nAnswer: -5*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 1839634820 to the power of 1\/3, to the nearest integer?\nAnswer: 1225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4 = 4*n, -5*b + 9*b - n = 17 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 1, z: 2, y: 9, r: 3, a: 1, u: 2}. Give prob of sequence yy.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 94.941 - -0.059. Let n = -97 + s. Let p = -0.4 + -0.1. Which is the third smallest value?  (a) -4  (b) p  (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = -m**2 + 5*m + 3. Let z(l) = 2*l + 1. Let o be (-3)\/(-3) + (-3)\/(-1). What is the least common multiple of z(o) and p(5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 13*w**2 - w**3 - 13*w**2 + (-4*w**3 - 31*w**3 + 10*w**3)*(3 - 3 + 2) to a*w + o*w**2 + y*w**3 + r and give y.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c = -2*c + 4*a + 15, 3*c - 32 = -a. Let s(w) = 8*w + 2*w**2 - 38*w**3 + 76*w**3 - 37*w**3 + 6 - c*w**2. Let q be s(8). Solve -10 = -r + q*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = -f**2 + 1. Let d(c) = -4*c + 3. Suppose 0 = -z - 3*z, 3*z = -5*n + 10. Let o be d(n). Give a(o).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t**5*t**(1\/9))\/(t\/(t**(-2\/9)\/t)*t*(t**(-5)\/t)\/t))\/(((t*t**(-2))\/(t\/(t\/(t*t**(3\/2)\/t))))\/(t**0*t**(2\/5)*t)) assuming t is positive.\nAnswer: t**(1151\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round -33396000 to the nearest 100000.\nAnswer: -33400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 334*f**3 - 2*f**2 + 101*f + 10386263 wrt f?\nAnswer: 1002*f**2 - 4*f + 101","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -65984*l + 66018*l - 2142 for l.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1031 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l + 5*v = -6, 47*l - 52*l = 5*v + 5. Let n = -2965359 + 86006988\/29. Let w = 399 - n. Which is smaller: w or l?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -4711\/4 - -1178. Let l = -57 + 71.6. Let o = 15 - l. What is the nearest to 0.1 in s, o, 5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 31*r*s**2 + 33*r*s - 1 wrt s.\nAnswer: 62*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 9923549 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*h**2\/7 - 318*h\/7 - 8427\/7.\nAnswer: -3*(h + 53)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z\/z**(-2))**(-2\/3) assuming z is positive.\nAnswer: z**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o*o*o\/(o\/((o*o**(-2\/23))\/o*o))*o*o*((o\/((o*o**(-3\/4)*o)\/o))\/o)\/o)\/((o**5\/o*o)\/o**(-8)) assuming o is positive.\nAnswer: o**(-859\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express (b - b + 2*b + (-2*b + 0*b + 0*b)*(2 - 1 - 3))*(-b - 3*b - 5*b) in the form g + c*b + d*b**2 and give d.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 66856010 a multiple of 130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -12 + 17. Let s = -0.03 + -4.97. Which is the closest to -2\/5?  (a) s  (b) i  (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zlsczlnzpsl. What is prob of sequence lp?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3311143 is divided by 19?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o + o - 824 = 0. Suppose -2*a + 89 = -3*u, -3*a + o = -4*u + 71. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-7 - (10\/(-5) - 4))*-2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/9257 in -3, 1, -1\/7, -2\/13, -63?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(-1*sqrt(2016))\/(sqrt(784)\/sqrt(7)) + 4.\nAnswer: -3*sqrt(2) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (92\/230)\/(14\/7).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(sqrt(85) - 2*sqrt(85)) - 3*(sqrt(85) - (sqrt(85) + sqrt(85)*1 - sqrt(85))))\/(-5*2*sqrt(245)*3).\nAnswer: sqrt(17)\/210","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 63554316 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x = -0*x + 9. Suppose -x*r + 2*m + 239 = 0, -2*r - 2*r - 2*m = -314. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1855 and 106.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = y - 0. Let k(r) be the first derivative of 6 + 3\/2*r**2 + r + 0*r**3 - 1\/4*r**4. Calculate k(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = -0*u + u. Let o = u + 4. List the prime factors of o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) be the third derivative of 29\/30*v**5 - 31*v**2 + 0*v + 0 - 3\/2*v**3 - 5\/12*v**4. Is n(6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13*n = -11*n + 2*b + 6, 2*n = -n + b - 5 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n**(2\/17)*n*n)\/n**(1\/10))\/(n\/((n\/((n\/n**(-1\/12))\/n))\/n)*n**4) assuming n is positive.\nAnswer: n**(-3127\/1020)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -19152440*g - 24668595 wrt g?\nAnswer: -19152440","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 0.02 - 36.8622\nAnswer: -36.8422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-222)\/(-30) - 4 - ((-8)\/20*-15 + -7).\nAnswer: 22\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n = 4*w - 576, 15*w - 432 = 12*w + n. Is -2\/9 bigger than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -106297 + 106299. Let 21\/8*y**j + 93\/4 - 657\/8*y = 0. Calculate y.\nAnswer: 2\/7, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 7 - 7. What is the nearest to q in -0.1, -13\/2, -5\/4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = -1. Let k(d) = 3*d - 2. Let r(f) = -k(f) + 3*w(f). Let j be r(-2). List the prime factors of j\/2*6\/5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -6\/19 or 15\/22?\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 936235 less than or equal to -0.024?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (20 + 10)*(3 + (-17)\/(-5)). Suppose -13*b + y = 19*b. Solve -2*a + 6 = 0, -b = 2*n + 4*a - 20 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 419 - 121 = s. Suppose 0*l - 2*l + s = 0. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0, -110930449, -3?\nAnswer: -110930449","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(448)*1 + -1 + 4 + -3 + sqrt(448))**2 - (-6*((sqrt(847) - sqrt(847)*-1 - sqrt(847))*-5 - (2 + 2*sqrt(847))))**2.\nAnswer: -1492460 - 11088*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 2419220 and 165700.\nAnswer: 12096100","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-5208)\/(-9) + 4\/(-6).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from laqaojy. Give prob of sequence jo.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.009 + -507?\nAnswer: -507.009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = 3*k**2 + 2*k - 7. Suppose 2*j + 35 = 3*j. Let a be ((-14)\/j)\/(1\/10). Let g(i) = -2*i**2 - 2*i + 6. What is a*y(b) - 5*g(b)?\nAnswer: -2*b**2 + 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -832 + 696. Let q = h + 811. What is the hundreds digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -139 + 144. Which is the second smallest value?  (a) f  (b) -0.1  (c) 1  (d) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 8\/25 of a kilometer?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -121 + -33101131?\nAnswer: -33101312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -51 = -4*d - 5*y + 28, -5*d = y - 104. What is the remainder when 39 is divided by d?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1014 - 1119 = -9*a. Let r(t) = -t**3 - 12*t**2 - 18*t - 70. Calculate the remainder when a is divided by r(-11).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-2492)\/(-10) - (22\/10 + -2). Suppose 0 = -2*x + 957 - i. What is the hundreds digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = -t**5 - t**4 + 6*t**3 + 6*t**2 + 5. Let p(u) = 3*u**3 + 3*u**2 + 3. Let c(h) = 3*g(h) - 5*p(h). Factor c(b).\nAnswer: -3*b**2*(b - 1)*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-35)\/(-42))\/(-1*(-5)\/8)\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r + 15 = -r. Let v be (35 - -2)*(10 + r). What is the units digit of v\/21 - 1\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*n = 0, -2*n = a + n + 8162 - 8167 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 59 minutes after 8:10 AM?\nAnswer: 9:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (5\/((-840)\/(-9)))\/(22\/(-352)*8)?\nAnswer: -3\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 21 a factor of 23629?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 918, 2204, 3490, 4776, 6062?\nAnswer: 7348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (24\/6*1)\/(198\/9).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = 3*z**2 - 5*z - 15. Let g be b(-2). Let q(w) = -w**2 - 6*w - 5. Let c be q(-5). Suppose c = 3*j + g - 16. Solve t + 2 - j = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = -x**2 - x + 4. Let r be v(0). Suppose c + 2*c - 5*w + 5 = 0, 4*w - r = 3*c. Solve c*b = 2*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1034*c + 1037*c - 15 = 0, 0 = 2*d - c + 1 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-16)\/20)\/((-4)\/50). Calculate the common denominator of 5\/w*(-5)\/12 and 168\/(-9) - ((-4)\/(-1) + -6).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 17*(117\/26)\/(21\/4). Let d = f - 661\/42. Which is smaller: d or -1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from mwmd. What is prob of picking 1 d and 1 m?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 61\/224 and -24\/7.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 982977590.\nAnswer: 2, 5, 7, 14042537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 134957 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -17304, -34714, -52120, -69522?\n\"Answer: 2*h**2 - 17416*h + 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a*a**(-17))**(22\/3) assuming a is positive.\nAnswer: a**(-352\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 + 1 + 0 + 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out 465 * -199.\nAnswer: -92535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 31 - 27. Let t be (c\/(-12))\/(3\/(-9)). Is t equal to -3\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 384*(123\/(-8856))\/((-4)\/36).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -19\/6110 and -59\/4888?\nAnswer: 24440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 45*-2101.71.\nAnswer: -94576.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -3 + 8 - -13 - (-3 - 3). Solve -4*m + 21 = 4*u + u, 5*u - j = -m for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = 2*k - 52. Determine d(42).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = 28*b**2 - 2*b - 2. Let f be m(2). Suppose 4*p + f + 86 = 0. Let n = -949\/20 - p. Find the common denominator of n and -79\/22.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-53)\/((-1060)\/200) + 59. Solve 0 = -4*m - j + 45 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from {y: 2, x: 4, a: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -1922720, -1922759, -1922832, -1922945, -1923104, -1923315?\n\"Answer: -v**3 - 11*v**2 + v - 1922709","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((l*l**(-1\/4)*l)\/l)\/((l\/l**1)\/l)*(l\/((l**7\/l)\/l))\/(l\/(l\/(l\/l**(2\/13)))))**41 assuming l is positive.\nAnswer: l**(-6601\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = k**2. Let n = -12209\/30 + 407. Let b(u) be the third derivative of 0*u + 0 + u**2 + 0*u**3 - n*u**5 + 0*u**4. Give b(v(z)).\nAnswer: -2*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let 5*z**3 + 22780*z**2 - 2268455*z + 55871270 = 0. What is z?\nAnswer: -4654, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6 - 12 - 5*q + 6.\nAnswer: -5*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1*3)\/((54\/10)\/9).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 9123.19 hours to milliseconds.\nAnswer: 32843484000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -257 divided by 1?\nAnswer: -257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = w**2 - 1 + 8 + 0 - 6 - 2*w. Let h be z(3). Suppose t - 5*t = -h*u - 32, 4*u = -4*t - 8. Solve -t*m = 5 + 4 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -37208 by 1954.\nAnswer: -18604\/977","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1486456, -1486474, -1486492, -1486510?\nAnswer: -1486528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -33c + -44?\nAnswer: -382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w**(-3\/4)\/w**(-6))**(-5))**(-2\/157) assuming w is positive.\nAnswer: w**(105\/314)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 0 - 36658907?\nAnswer: -36658907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pprp when four letters picked without replacement from {r: 1, p: 11}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = -3*s, 0 = -5*j + 15*s - 8*s + 1080. Calculate the remainder when j is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = -34*x - 34. Let p(k) = 1. Let a(l) = -d(l) - 2*p(l). What is the hundreds digit of a(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 11403300 to the nearest 100000.\nAnswer: 11400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = 7*w - 2. Let r = -4 + -6. Let c be 6\/(-10) + (-36)\/r. Is k(c) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 1*(-4 + 3)*-5. Solve 2 = -u + y for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3418 is divided by 820?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -103 - -204. Let t = -101.008 + q. What is t rounded to 2 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -107258 divided by 26\nAnswer: -53629\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 808 - 808.833. Let g = -0.03509 - -0.82199. Let n = s + g. Round n to 2 decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 88 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 61610 and 1653710.\nAnswer: 610","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.2, 1\/2, -3\/536, 4\/3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -17 - -29. Is 4 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 0.3, -0.2, -73, -19, 12, 5 in decreasing order.\nAnswer: 12, 5, 3, 0.3, -0.2, -19, -73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 747317?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -3  (b) 0.0246  (c) 2  (d) 4\/3  (e) 2\/39  (f) 90\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 13953347 and -4?\nAnswer: -55813388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 91449, 182898, 274339, 365772, 457197, 548614, 640023?\nAnswer: 731424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor 1\/4*o**5 + 83\/2*o**4 + 94864 + 73612*o + 7825\/4*o**3 + 19651*o**2.\nAnswer: (o + 4)**3*(o + 77)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is p in 2*p**3 - 664*p**2 + 54442*p + 111556 = 0?\nAnswer: -2, 167","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 230894530?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -73.3 + 73. What is the closest to -2\/87 in -1\/3, 3\/4, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -12 (base 5) to base 3\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0 - 2. Let t(z) = -z**2 - 2*z. Let v be t(y). Suppose -10 = -5*w - v*w. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 6 in 8, 0, -4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 22285 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 161*z = 12472925 + 10090098. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 b and 1 m when three letters picked without replacement from bwbrbwbm?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round -114616200 to the nearest 100000.\nAnswer: -114600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find u such that -u**2\/6 + 11*u + 67\/6 = 0.\nAnswer: -1, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -157*s + 475*s + 286 = -7028 for s.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s + 4*o + 1477 = 8*o, -4*s = 5*o - 1971. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 24681 is divided by 175.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = -18*l**2 + 35*l + 34. Let v(u) = 12*u**2 - 24*u - 23. Let j(t) = 5*g(t) + 7*v(t). Let x(i) = -5*i**2 + 6*i + 8. What is -4*j(y) + 5*x(y)?\nAnswer: -y**2 + 2*y + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -113*m + 490 - 499 + 113*m - 3*m**2.\nAnswer: -3*m**2 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 174335?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = -12*i - 7. Let t(s) = 5*s - 16. Let m be t(3). Let p be o(m). Solve -19 = g + p*b, 4*g + 0*b = 5*b + 24 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 267 + 82135*c**2 - 82136*c**2 - 28 + 92.\nAnswer: -c**2 + 331","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2349 is divided by 109?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = x**2 + 20*x + 20. Is 23 a factor of w(-36)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = 17*r**2 + 2105*r + 176. List the prime factors of v(-128).\nAnswer: 2, 3, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in eleven halves of a meter?\nAnswer: 550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 1, z: 1, j: 7}. What is prob of sequence jt?\nAnswer: 7\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -21868 or -21867?\nAnswer: -21867","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + 2*sqrt(300) - (sqrt(192) + 1*sqrt(192) - sqrt(48))\/sqrt(4).\nAnswer: -4 + 14*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*h + h = -4*b + 34, -6*h + 7*b + 70 = 159 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 - (2 - (-5 + 14 + 0))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = -x**3 - 10*x**2 + 10*x - 15. Let f be o(-11). Let z be 10\/f*8\/(-5). Let s(u) = 8 + u - 3 - u**2 - z*u. Determine s(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine t so that t**3 - 55*t**2 - 58*t + 112 = 0.\nAnswer: -2, 1, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 2.1, 1\/5, 5, 9\/14, 1\/3, 0.4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/7 in 30, 1176, 6, -1\/3, -4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from axajxapaxxpllj. Give prob of picking 1 l, 1 a, and 2 x.\nAnswer: 48\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p - 3*p - 2 = 0. Let t be ((-4)\/(-4))\/(p\/(-22)). Suppose -w = -l - 8, -3*l = -5*w - 8*l. Solve 0 = 3*z - w - t for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -r - 4*r + 30. What is the smallest common multiple of 10 and (2\/12)\/(r\/36)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is p in -p**4\/6 + 5195*p**3\/2 + p**2\/6 - 5195*p\/2 = 0?\nAnswer: -1, 0, 1, 15585","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10 = -2*k, 252*k = -3*i + 254*k - 13 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -679 + 682. Let f = 2.107 + -0.107. What is the closest to -5\/8 in l, -0.5, f?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = -w**2 + 7*w - 10. Let n(f) = 2*f**2 - 7*f + 2. Let k be n(4). Let u be i(k). Let x be 3*u\/(-12) - -1. Solve -m - 2 = x for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) be the first derivative of -12*v**2 + 6*v + 4496. What is m(-3)?\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 917.53 times -5.3?\nAnswer: -4862.909","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((5280\/(-700))\/44)\/((-306)\/14)?\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -x**3\/6 + 25*x**2\/6 - 28*x + 24.\nAnswer: -(x - 12)**2*(x - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -31\/324 and 47\/21903789.\nAnswer: 2365609212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 425 and 340?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = -8*c - 3 - 20*c + 4. Let h be s(1). Calculate the remainder when (1 - 2) + 1 - h is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 23000156*z - 34787171 with respect to z.\nAnswer: 23000156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1751 or -2\/4583?\nAnswer: -2\/4583","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 289.2 + -50.2. Let r = n - 238.883. Round r to two decimal places.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-4 + -3*(sqrt(320) + -2))*-4)**2.\nAnswer: -1536*sqrt(5) + 46144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (11 - 9)*1\/(3\/((-9)\/2)). Sort 5, h, 1, -15, -4.\nAnswer: -15, -4, h, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is 21\/2 of a litre in millilitres?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 n and 1 m when two letters picked without replacement from {w: 2, c: 2, n: 3, t: 1, l: 1, m: 3}.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3?  (a) -5  (b) -3878  (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 10388150?\nAnswer: 2, 5, 207763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 0 - -211?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Product of -93040 and 0.1263.\nAnswer: -11750.952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -196 = -12*j + 5*j. Is 88\/3 equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 43710000 rounded to the nearest 1000000?\nAnswer: 44000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -73710124*q**3 + 135317443*q**2?\nAnswer: -442260744","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Determine b so that -8*b**5 + 12*b**4 + 64*b**3 - 132*b**2 + 16*b + 48 = 0.\nAnswer: -3, -1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 104 a factor of 34320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -27 + 12 - (-3 + -18)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 49 and 70?\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 24 + -24. Let g = 211 + z. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 170 minutes after 2:57 PM?\nAnswer: 5:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6701?\nAnswer: 6701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1050*s**6 + 4*s**2 + 17*s.\nAnswer: 126000*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 2176 and 2.\nAnswer: 2176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-12466)\/(-2168)*(-20)\/5.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -a**2*s - 99230*a**2 - 82580*s wrt s?\nAnswer: -a**2 - 82580","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round 4.1247459 to two decimal places.\nAnswer: 4.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 471 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -21 - -132. What is the remainder when 277 is divided by t*1\/4 + (-3)\/(-12)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -108*c - 3117 + 10029. Find l, given that c*l**2 - 168\/5*l**3 + 0 - 1\/5*l**5 + 512\/5*l + 23\/5*l**4 = 0.\nAnswer: -1, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 12 + (2 - 8) + (1 - 5) + 25.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 r and 1 v when two letters picked without replacement from {r: 1, b: 5, v: 4}.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (4 - 4)\/4 + (71 - 68).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2647333081 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 11\/40 + 1\/8. Let f(q) be the first derivative of 4\/3*q**3 + 0*q**2 - 4 + 0*q - i*q**5 + 0*q**4. What is the third derivative of f(o) wrt o?\nAnswer: -48*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 185 divide 11318300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1329 is divided by 95.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1*(3 - 1 - 1) - 810474\/(-786982)?\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*q**5 - q**5 + 3*q**5)*(-2 + 2 + 1) + 9*q**5 + 11*q**4 - 11*q**4.\nAnswer: 11*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -72*k**6 + 2*k**5 + 128*k**4 - 4*k**2 + 2*k - 1009.\nAnswer: -8640*k**3 + 120*k**2 + 3072*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 12278125 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*((sqrt(65) - (-2*-2*sqrt(65) - sqrt(65))) + (sqrt(65) - 1*sqrt(65)*-2 - sqrt(65)))\/(sqrt(15)\/(-4*(sqrt(48) - sqrt(3)))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -42*i**4*v**2 + 17430*i**4*v + 12*i**2*v**2 + 544*i**2*v - i*v**2 - 2 wrt i?\nAnswer: -1008*i*v**2 + 418320*i*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) be the first derivative of 2*b**5\/15 - b**4\/6 - 2*b**3\/9 + b**2\/3 - 1246. What is t in v(t) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:57 AM and 3:10 PM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -119?  (a) 29  (b) 1  (c) 0  (d) 5  (e) -18\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(35)\/sqrt(5) - sqrt(7)) + -3 + (2*sqrt(7))**2 + 5.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*u = 2*u + 3*v + 22, 0 = 5*v + 10. Let p be u*(-6)\/48 + 0 + -1. Let k be 5*(-2 + (1 - -2)). Solve n - 2*s = 11, s - k*s - 16 = p for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (9 - -3) + (-2 - 3) + 5. Suppose -4 = -3*j + 2*b, j + k = b + 3*b. Put 0, j, -9 in ascending order.\nAnswer: -9, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2456 (base 13) to base 8.\nAnswer: 12025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*s**2 - 199*s**3 + 303*s**3 - 99*s**3 - 3*s**2 + 2*s**2 + 5*s**2.\nAnswer: 5*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 595290 is divided by 148821.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -a9 (base 11) in base 10?\nAnswer: -119","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.5883967846 to 1 dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is (30\/(-105))\/(138\/18354)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 187 divided by -3.\nAnswer: -187\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Divide 10 by 18.\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7 - 7 + 0*m**3 + 7*m**3.\nAnswer: 7*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1.3 - 0.3. Let p be ((-1)\/3)\/(3\/18). What is the closest to -0.1 in 1\/6, y, p?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 46455066 by -2478.\nAnswer: -18747","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -4, 0, 57, -2 in decreasing order.\nAnswer: 57, 0, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -a**3*z + 894*a**2*z**3 + 24*z**3 + 3*z**2 wrt a.\nAnswer: -3*a**2*z + 1788*a*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 545 less than 1059225?\nAnswer: 1058680","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 19 at most as big as 4447\/230?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -725 - -1197. Let o be l\/(-94) - (-10 + 5). What is the closest to 1 in 4, 3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -145 - -145. What is the nearest to -3 in 2\/9, m, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nat when three letters picked without replacement from {t: 2, q: 3, h: 5, w: 1, a: 1, n: 3}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 3, f: 6, m: 2, q: 1, n: 4}. Give prob of picking 1 m and 2 n.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3423*v + 5523*v + 4793*v.\nAnswer: 13739*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in 3652.772 weeks?\nAnswer: 2209196505600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 948?\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = 16392512*r**2. Let g(x) = -5*x. Give g(m(n)).\nAnswer: -81962560*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 47615, 47933, 48815, 50549, 53423, 57725, 63743, 71765?\n\"Answer: 48*c**3 - 6*c**2 + 47573","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 323 - 172. List the prime factors of n.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -19*s**3 - 6*s**3 + 738*s**2 - 6*s**3 - 1477*s**2 + 737*s**2.\nAnswer: -31*s**3 - 2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 37486 to the power of 1\/2, to the nearest integer?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4255151.\nAnswer: 17, 43, 5821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from mrpeerfprkp. Give prob of picking 1 e and 1 p.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 6 + -3. Suppose 0 = 75*b - 76*b + 4. Solve y*u = -l + b*l - 9, -3*u = 5*l + 17 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 15, 42, 83, 138?\nAnswer: 207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 72 and 362218968?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1 + 1.01. Put c, 2\/19, -5 in increasing order.\nAnswer: -5, c, 2\/19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14*f**3 - 2468742*f**2 + 27863256*f - 7759400 = 0 for f.\nAnswer: -176350, 2\/7, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = 4*i**2 - 34*i - 1595. Give c(-13).\nAnswer: -477","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -1*(3 + 2 - 2). Let y(u) = 5*u + 2. Determine y(p).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5384\/3153 != 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -6 - 1\/(3\/(-9)). Let f = 12 + x. Let s = -133 - -137. Solve -s*p = -f*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w = -5*d + 12, 2*w + 8 = d + 3*w. Suppose 3*t = -4*j - 17 - d, 0 = 2*t - 2. Let n be (-2)\/(-11) - -6*(-272)\/264. Is j less than or equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2 - 99*p**4 + 100*p**4 - 11*p + 2*p**2 - p**2 + 1 - 2*p**3 in the form x*p**2 + i*p**3 + n + t*p**4 + j*p and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor 12\/19*j**3 + 0 + 0*j**2 - 64\/19*j - 2\/19*j**4.\nAnswer: -2*j*(j - 4)**2*(j + 2)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3694920 a multiple of 82?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6.164991 millilitres to litres.\nAnswer: 0.006164991","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -8, 4, -3, -28.\nAnswer: -28, -8, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = a**2. Let n be g(-2). Suppose -3*c + n*c = 14. Suppose -4*j + 20 = -88. What is the remainder when j is divided by c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q\/q**4*q)\/(q**(-11)\/q*q))\/(q\/(q\/(q\/(q\/(q*q**(3\/5)\/q)*q)))*q)**(1\/21) assuming q is positive.\nAnswer: q**(314\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = 2*n + 8. Let r(k) = -5*k - 17. Let d(f) = -3*r(f) - 7*u(f). Suppose 0 = -9*s + 14*s. Give d(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -12*h**3*u**5 + 5*h**3*u - 477*h**2*u - h**2 - 2441*u**5 wrt u.\nAnswer: -240*h**3*u**3 - 48820*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (1251\/27)\/(1\/3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13573 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: Let k = -1429 + 1484. Calculate the lowest common multiple of k and 80.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = 3*k + f, -k - 2 = 5*f - 6. Let g be -1 + 2 + k - 2. List the prime factors of g + 1\/(1\/4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = -18*m - 179. Determine t(-10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -333 + 337. Let n = 0 + -0.2. Let m = 1.6 + -2.6. Put r, m, 0.3, n in increasing order.\nAnswer: m, n, 0.3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 76490.68 milligrams?\nAnswer: 76490680000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.05576*-5.\nAnswer: 0.2788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -50*l + 66802 = 8052. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1617414.\nAnswer: 2, 3, 17, 101, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = -2*h + 4 + 2 - 2. Let i be b(-5). Let w(f) = f**3 + 15*f**2 + 62*f + 200. Let k be w(-11). Solve 2*z = -2*z - k*c + i, -5*z = c - 19 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-v - 2*v + 2*v)*(-46*v - 39*v + 83*v + 104) in the form c*v**2 + h + b*v and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 + (-79 - -45) + (6 - (6 - -3))?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00000043228 to 7 decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = -a**3 + 34*a**2 + 57*a - 113. What is the units digit of t(35)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j = -4*y + 314, -3*y - 5*j = -6*j - 237. Suppose -28*a = -20*a - y. What is the highest common factor of 4 and a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -445933 - -445933.000247363. Round x to 6 decimal places.\nAnswer: 0.000247","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = n**3 - 8*n**2 - 7*n + 1. Let g(z) = z**3 - 10*z**2 + 2*z - 11. Let o be g(10). Is r(o) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = -6*h - 44. Let p be v(-8). Solve -3*o + p*o + 3 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 146 = -2*b - 38. Let r = 143 + b. What is the remainder when r is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 13 - 1. Suppose -m - 2*h - 3*h = 23, -4*h - 16 = 2*m. What is the remainder when (m\/3)\/(2\/102) is divided by k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 16235 is divided by 7944.\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2*r**3 - 16*r + 2514 wrt r.\nAnswer: 6*r**2 - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = 3*w - 5. Let m(c) = -210*c**2. Determine l(m(n)).\nAnswer: -630*n**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -12*o - 34 - 14 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -4 - -6. Let f be (a\/42)\/((-4)\/20). Let v = f + 4\/7. Sort v, 4, -2\/7 in decreasing order.\nAnswer: 4, v, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 273 is divided by 95.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w = -8 + 6. Let t be -3 + ((-8691)\/w)\/3. What is t rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = u**3 + 7*u**2 - 2*u - 12. Let v be f(-7). Let h be 3 + -2*(v + 3\/(-2)). Which is smaller: h or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*i**5\/4 - 504078*i**4 + 10081509*i**3\/4 - 4032597*i**2 + 2016297*i = 0. What is i?\nAnswer: 0, 1, 2, 672099","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let -5*h**4 + 45*h**3 - 110*h**2 + 160 = 0. What is h?\nAnswer: -1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 5, v: 3}. Give prob of sequence vvv.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 7?  (a) -11  (b) -3  (c) 104  (d) -0.4  (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 135 times 90935?\nAnswer: 12276225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m - 302 = 3. Suppose m*p + 7*p = 1564. Is p at most as big as 20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = -4*s**2 + 2. Let p(x) = -9*x**2 - x + 4. Determine -7*o(q) + 3*p(q).\nAnswer: q**2 - 3*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = 6*t**3 - 17*t**2 + 9*t - 20. Let v(u) = 3*u**3 - 8*u**2 + 5*u - 10. Let d(p) = -4*m(p) + 9*v(p). What is the tens digit of d(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.1527 - -0.1547. Let r = 54.0093 + -54. Let g = h - r. Round g to three decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.06737904 + -0.1\nAnswer: -0.03262096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (440\/66)\/((-1)\/(-3)). Find the second derivative of -24*j**2 - y + 15*j + 12 - 52*j**2 + 11 wrt j.\nAnswer: -152","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3.16 in 5, -74, -2\/17, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6905931 is divided by 3452959.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2832 and 59?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 90134 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-8)\/6)\/((-2)\/(-18)). Suppose 2*b + 3 + 39 = 0. Let l = w - b. Is 9 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ry when two letters picked without replacement from {g: 1, r: 2, b: 2, y: 1, k: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 84 + -34. Is 37 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 7\/(-28) + (-42)\/(-8). Solve -4*y + c = -3*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4*b + 0*b + 2*b + b + 2*b - 5*b + (0 - 1 - 1)*(b + 4*b - 4*b) - 1 - 2*b + 1 - 12*b + 6*b + 5*b to v*b + a and give v.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 63434822 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = -8*a - 8. Let n(z) = -11*z - 10. Let w(q) = 5*k(q) - 4*n(q). Let h(x) = -22*x**2. What is h(w(p))?\nAnswer: -352*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Do 66011 and 66013 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 69144 divided by -536?\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*t + 0*t = 16 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2 - -21) + 54 + -64?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*(sqrt(3)*-2 + 4 + sqrt(3)*-2*3 + sqrt(3)))**2*-6.\nAnswer: -35208 + 12096*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Total of 1 and 0.06115.\nAnswer: 1.06115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = -3*r**2 + 11. Let h(q) = q**2 - 4. Let l = 1 + 10. Give l*h(u) + 4*w(u).\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.2 in 1\/9, 4, -13?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Product of 1 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from vlllpjjltjllqvlqvvlt. What is prob of sequence vll?\nAnswer: 28\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*k**4 + 800*k**3 - 6204*k**2 + 11520*k.\nAnswer: -4*k*(k - 192)*(k - 5)*(k - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 215617 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 313515, 313520, 313537, 313572, 313631?\nAnswer: 313720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 3b66 + -5?\nAnswer: 3b61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = 3*n. Let a(s) = -32*s - 36. Let g(d) = -d + 386 + 0*d - 387. Let f(p) = -2*a(p) + 72*g(p). Determine m(f(b)).\nAnswer: -24*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-10)\/6 + 4\/6. Let a be -4 - (-2 + 2 + 1). Let v = a + 12. Is s != v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 786, 806, 768, 636, 374, -54?\nAnswer: -684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"}
{"text":"Question: -0.02+2003\nAnswer: 2002.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = -n**3 + 13*n**2 - 10*n - 6. What is the remainder when 35 is divided by z(12)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -210570 rounded to the nearest one thousand?\nAnswer: -211000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*c = -0*c - 7*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express 4 + 4*d - 4 - d + d - 2*d + (-48 - 50 - 22)*(-d - 4*d + 3*d) as q*d + z and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-2)\/13 - 5308\/(-26). Let u = s + -17. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -148*l = -144*l - 10040. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 2ec6d - -5?\nAnswer: 2ec73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is (-331)\/(33\/9 - 4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (0 - -1)\/((-2)\/(-6)). Suppose 11 = n + x*c, -2*n = -7*n + 3*c + 1. Suppose -47 = 41*m - 211. Calculate the greatest common divisor of m and n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14862 = i + 5*i. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -69424.955 - 66329900.045. Let p = -66399325.45999949 - h. Let s = -0.46 - p. Round s to seven decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 5 - 6 - (7 - -146). Let v be (-14)\/w*(3 - 1). Which is the nearest to 1?  (a) 4  (b) v  (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (1\/(-12)*4)\/(2\/2). Let k be 2\/(-10) + 52\/10. Let y be (-8)\/20 + 2\/k. What is the nearest to c in y, 2, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 41314?\nAnswer: 2, 7, 13, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 182 a factor of 34860280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x - u + 5*u = 68, 3*u - 311 = -4*x. Calculate the remainder when 1589 is divided by x.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0 - 7*o**2 + 0 + o**2 - o**2 + o**2 + (o**2 - 3 + 3)*(1 + 2 - 2) - o**2 + 2*o - 2*o.\nAnswer: -6*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-211*j**2 - 322*j**2 + 432*j**2)*(-5 + 1 + 3)*(0*j**2 + j**2 + 0*j**2).\nAnswer: 101*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 52, 59, 74, 103, 152?\n\"Answer: f**3 - 2*f**2 + 6*f + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 3, -3, -106609?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -13031*c**5 - 2*c**3 + 1019*c + 10.\nAnswer: -260620*c**3 - 12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -10.1 + 10. Sort 8\/3, 0.5, g, 0 in increasing order.\nAnswer: g, 0, 0.5, 8\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a\/(a**(2\/7)*a))\/(a\/((a*a**(-17\/4)\/a)\/a)) assuming a is positive.\nAnswer: a**(-183\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (2 - 568\/220) + 6\/15. Which is the nearest to -12?  (a) -12  (b) 4  (c) 0  (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-12)\/15)\/((-2)\/10). Suppose z - q = -3, 4*z - q - q + 6 = 0. Suppose z = b + u*b - 35. What are the prime factors of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from ikkkkkkkikkkik.\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + sqrt(208) + -4.\nAnswer: -5 + 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + -1*(-2 + sqrt(1216)*3 + -5 + -5)**2.\nAnswer: -11093 + 576*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z*z\/(z*((z*z**5*z*z)\/z)\/z)*z**(-5))\/(z**(2\/21)\/((z\/z**(5\/2))\/z)) assuming z is positive.\nAnswer: z**(-529\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (228\/114)\/(67*(-65)\/13).\nAnswer: -2\/335","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 15 - 10. Suppose j - 3*n - 3 - 4 = 0, -g*j - n = 13. Which is the second biggest value?  (a) j  (b) 1\/4  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1483095*s - 1428 = 1483061*s for s.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1671 is divided by 152?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 2, l: 1, q: 3, k: 1}. What is prob of picking 1 q and 1 k?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2332260776 to the nearest integer?\nAnswer: 1326","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (10\/(750\/105))\/(-3*(-3)\/(-45))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*s = -33*s + 92 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = j**3 - 11*j**2 - 24*j + 15. Find the common denominator of m(13) and 47.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = -d**3 - 10*d**2 + 17*d - 13. Let g be u(-13). Let o = g - 130. Does 16 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1.066 - 1.466. What is the third biggest value in y, -0.1, 4, -59?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 0 - 2 - (-1 + -1). Suppose -4*r + 1 = 3*s, 2*r + g = -s + 3. Suppose -j - 3*j = r. Which is smaller: j or 0?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 19*t + 18*t = -5*t - 504 for t.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = s**3 - s**2 + s. Let t(c) be the second derivative of 3*c**5\/10 - c**4\/3 + 2*c**3\/3 - 493*c. Determine -4*q(g) + t(g).\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence uwr when three letters picked without replacement from {u: 2, w: 1, r: 1, j: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -189*b**2 + 61269*b + 14270998?\nAnswer: -378*b + 61269","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -2.6 - 0.4. Let m = -0.3 + 0.2. Let i = 151 + -147. What is the closest to m in -4, s, i?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -997212 or -997214?\nAnswer: -997214","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 19, -4, -2, 26, 1.\nAnswer: -4, -2, 1, 2, 19, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -205303*x**5 + 73*x**3 + 684686*x**2 - 31*x - 2?\nAnswer: -12318180*x**2 + 438","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 304986631?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 33 - 27. Let v be (-4 - a)\/(-2) - 3. Solve v*z = 5*c - z - 12, -5*c - 4*z - 16 = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 114720 and 100380?\nAnswer: 803040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 99901?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = h**3 + 10*h**2 - h + 7. Suppose -5*q - 20 = 15. Is y(q) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(99)\/((-2*sqrt(45))\/sqrt(5)) - (sqrt(55)\/sqrt(5) + 0 + (sqrt(110)\/sqrt(5))\/sqrt(2)).\nAnswer: -5*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = -4*r - 0. Suppose r*t - 10 = -0*t. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*r + 4*f - 124, 2*r - 4*f = -9*f + 50. Suppose -n + 6 = -6. Let y = r - n. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 184*k**2 - 302*k**2 + k**3 + 104*k**6 - 323*k**2 - k**3 + 2*k**5 wrt k?\nAnswer: 12480*k**3 + 120*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1 - 0 - -8) + ((-12640)\/(-176))\/(-10).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z\/(z\/(z\/(z**(-1\/4)*z))))**(3\/13)*z\/((z\/(((z\/(z*z**(1\/3)))\/z)\/z*z*z))\/z)*z**(-5)*(z**(2\/13)*z**(1\/13)*z)**(-2\/15) assuming z is positive.\nAnswer: z**(-3463\/780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = -20*r**2. Let v(p) be the second derivative of 0 + 0*p**2 - 7*p + 1\/6*p**3. Give v(i(s)).\nAnswer: -20*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 29747 + -13720. What is the hundreds digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is five eighths of a microgram in nanograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert -24321655 (base 7) to base 12.\nAnswer: -889a3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 19 and 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 400 and 125.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f + 9*f = 200. Calculate the remainder when f is divided by 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1036 or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 - (0 - 1) - (-25 - -25).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d + 4*d - 3*o - 6 = 0, 2*d = o + 10. Suppose d*s - 180 = 3*s. Let p be s\/16 + (-2)\/(-8). Solve -u + p*u + 6 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4 - 4 + v**3 + (0 + 1 - 2)*(899 + 181*v**2 - 899)*(0*v + 0*v - 3*v).\nAnswer: 544*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((49\/(-35))\/(-7))\/(18\/240). Sort 3\/5, l, 1, 25 in ascending order.\nAnswer: 3\/5, 1, l, 25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -4538 - 1?\nAnswer: -4539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 11021 - 100010220101?\nAnswer: -100010202010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b + 26 = t, -10*b + 12*b - 18 = -t. Suppose -32*i = -37*i - t. Let u(o) = o**3 - o**2 - o + 1. Calculate u(i).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1048 - 1550. Calculate the remainder when s\/(-8) + (-6)\/8 is divided by (21\/4)\/(3\/12).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 975, 1021, 1085, 1167?\nAnswer: 1267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u = -2*z - 333, -74*z + 1358 = 4*u - 69*z. List the prime factors of u.\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0 or 1\/339?\nAnswer: 1\/339","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Divide 161 by 79693.\nAnswer: 161\/79693","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from wyuvywyyvw. Give prob of picking 2 w.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = k - 2. Let x(u) = u**2 + 6*u + 6. Let j be x(-4). Let s(n) = -2*n + 1. Let f be s(j). Is g(f) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 d, 1 v, and 2 m when four letters picked without replacement from vmdddmdhhdmdddhvdh?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((z\/(z*z**(1\/2)))\/z)**(-4\/9)*(z**(-1))**(-3\/11))**(-45) assuming z is positive.\nAnswer: z**(-465\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = x**2 + 9*x - 316. Calculate the remainder when d(-37) is divided by 63.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 42\/38 - 2\/(2 + 0)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 193 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = d**3 - 4*d**2 - 7*d + 7. Let b be h(5). Let n be -1 - (-17 - b - 3). Let y = -7 + n. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1 - 13 - 2)\/((23 - 40) + -1)?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = 54*w**2 + 30*w - 266. Calculate the remainder when g(10) is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 27*(32\/12 + -2). Suppose -r + p = -4. Is 22 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -894 - 19*u**3 + 442 + 449.\nAnswer: -19*u**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = -7 + 7 + 3*q. Let n(c) = c - 1. Let l be n(3). Let f(v) = 14*v**l - 17*v**2 + 8*v**2. Calculate f(k(i)).\nAnswer: 45*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -168 - -67. Let g = 101.79 + a. Let b = -0.78504 + g. What is b rounded to 4 decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 99468\/5 - (-36)\/90. Round v to the nearest one hundred.\nAnswer: 19900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 42923 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 0.017 and -0.064?\nAnswer: 0.081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 3\/16 of a day?\nAnswer: 16200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000012726 to seven dps.\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11*i + 2*i + 3*i - 7*i.\nAnswer: -13*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = -w**3 - 9*w**2 - 8*w - 80. Let y be p(-9). Let d(k) = k**2 + 5*k - 6. What is d(y)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 148 - 146.02. Let f = m - 2. Let b = -1 - -0.8. What is the closest to b in 0.2, f, -0.4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -46\/105 and -151\/120?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = -1725*w - 162149. What is p(-94)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -407.06 + 407. Which is the smallest value?  (a) 5  (b) 3\/5  (c) r  (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -52560, -52554, -52546, -52536, -52524, -52510?\n\"Answer: o**2 + 3*o - 52564","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3018034.\nAnswer: 2, 199, 7583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16 = -4*o, 4*z - 3*z - 5 = o. Let a = z + 3. Calculate the remainder when 34 is divided by a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do -2464834 and -3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 396533821 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 13*l**2 - 14*l**2 + 4*l**2.\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 81633.\nAnswer: 3, 27211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -20.73 - -0.73. Let c = 12 + n. Is c > 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 228\/(-2)*(-13)\/234*9. Let j = -10 + 14. Suppose v + 0*i - z = -j*i, -2*v + 5*i = -62. Calculate the remainder when v is divided by 13.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (19*y - y + 0*y)*((3 + 2 - 3)*(-2 + 3 + 0) - 1 + 0 + 5).\nAnswer: 108*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = 17*c + 31. Let n(l) = 87*l + 159. Give -4*n(y) + 21*r(y).\nAnswer: 9*y + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -43\/20 and -199\/253110?\nAnswer: 506220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*b + 0*t + 2 = 2*t, -2 = -2*b - t for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.04 and -122.\nAnswer: -4.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 4 in 15, 1\/10, 1, -28.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = 42*n**2 - 59*n - 1514. Let c(a) = -83*a**2 + 128*a + 3026. Let x(y) = 6*c(y) + 13*l(y). Find the first derivative of x(s) wrt s.\nAnswer: 96*s + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 416380 to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1206871248?\nAnswer: 2, 3, 11, 2285741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 2\/1057 - -919\/72933. Is 1 equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v - 3 = -5*v. Let l = v + 3. Which is the biggest value?  (a) l  (b) -5  (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b = -4, 3*b - 120 = 4*i - 761. List the prime factors of i.\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 13\/8 of a hour?\nAnswer: 5850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(216)\/(sqrt(8)*1))\/(sqrt(900)*-2*5).\nAnswer: -sqrt(3)\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 5 and 31355?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round -1760.97 to the nearest 10.\nAnswer: -1760","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -183, -281, -555, -1095, -1991, -3333, -5211?\n\"Answer: -15*r**3 + 2*r**2 + r - 171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 87849 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 403000 rounded to the nearest ten thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -6677918 + -423.4?\nAnswer: -6678341.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -8416 - -8416. Let y = 1 - 2. What is the biggest value in f, -5, y, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 = 5*c, 20*a + 4*c + 10104 = 24*a. List the prime factors of a.\nAnswer: 2, 5, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 21608126549 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express -70*j - 1 - 15 + 2*j**2 + 38*j + 35*j in the form x*j**2 + b + a*j and give b.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.17, 17, 3\/19465.\nAnswer: -0.17, 3\/19465, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 r and 1 x when two letters picked without replacement from {r: 7, x: 5, w: 1, i: 3, m: 2}?\nAnswer: 35\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1979 is divided by -22*((-15)\/18)\/(1*8\/24)?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 2069 - 2049. Suppose -5 = -i - 1. Solve -q + 17 = i*v, q - 2*v = -7*v + n for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = 3*d - 31. Let x be u(14). Let b = x + -9. Suppose 3*c - 266 = -3*l + b*l, 4*l + 4*c - 1024 = 0. List the prime factors of l.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = f + 2. Let a(x) = x**2 - 6*x - 2. Let y be a(7). Let s = 7 - y. Suppose -2*l = -5*h - 19, -h = -s*l + 3*l + 8. Give q(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor b**2 + 247*b - 498.\nAnswer: (b - 2)*(b + 249)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 40 - 32. Solve y - 17 = 3*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 864, 1727, 2596, 3471, 4352?\n\"Answer: 3*m**2 + 854*m + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) be the first derivative of 6*l**5\/5 - 5*l**4\/2 + 27*l**2 + 2*l - 16. What is the second derivative of s(y) wrt y?\nAnswer: 72*y**2 - 60*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 24908 is divided by 501.\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 2016 and 22?\nAnswer: 22176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = -g**3 + 9*g**2 - 8*g - 9. Suppose -33*j - 24 = -36*j. What is h(j)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f - 2*f = 3. Let c(m) = -6*m + 7 - m + 3*m**2 - 2 + 3*m**f. Let q(b) = -4*b**3 - 4*b**2 + 10*b - 7. Give 7*c(l) + 5*q(l).\nAnswer: l**3 + l**2 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 2*(-1 - 15\/16). Suppose 22*r - 4*n = 21*r - 41, 5*n = 4*r + 65. Is y < r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 15700 - 15700 + 3*f.\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 136 - 677\/5. Let w = 15 - 28. Let m = w + 13.5. Which is the third biggest value?  (a) 5  (b) k  (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**2)**(5\/9)\/(((b**(-2\/33)*b)\/b)\/(b\/(b**11\/b))) assuming b is positive.\nAnswer: b**(-775\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*j - 73 = -97 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate b**3*u**4 + 2*b**3 + 119552*u**2 + 103709 wrt u.\nAnswer: 4*b**3*u**3 + 239104*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 151360884 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 720 divided by 3.\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 47 - 71 - 40 - -47.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -4 + 32 + -2*1. Let a = f + 8. Calculate the smallest common multiple of a and 20.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*k**2 + 6*k**2 - 17*k**2)*(-5*k**3 - 2*k**3 + k**3 + (-2*k + 3*k - 2*k)*(0*k**2 + k**2 - 2*k**2) + 0*k**3 + 2*k**3 + 0*k**3 + 2*k**2 - 2*k**2 - k**3).\nAnswer: 32*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 2\/23, 2\/9, 7, -0.3?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -114.165 + 0.165. Let b = i - -116. What is the second smallest value in 0.3, b, 4, -3\/2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = 2 + 9 - g + 1 - 1. Let s be n(8). Suppose 2*h + 2*o - 30 = 0, 2*h - s*h + 4*o + 10 = 0. Does 7 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 1\/16 of a milligram?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*c**5 - 429*c**4 + 1470*c**3 - 756*c**2 - 1608*c + 1056 = 0. What is c?\nAnswer: -1, 2\/3, 2, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 7734261 to the power of 1\/2, to the nearest integer?\nAnswer: 2781","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in k**3 - 60*k - 13*k**3 + 60*k + 79*k**3.\nAnswer: 67*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 7\/2559744 and -17\/559944?\nAnswer: 17918208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Divide 11 by -54.\nAnswer: -11\/54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.005 + -228.\nAnswer: -228.005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 215799 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((u**0*u)\/u)\/u)**(1\/16)\/((u*u*u*u**(4\/3))\/(u**(-1\/5)*u*u)) assuming u is positive.\nAnswer: u**(-623\/240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 122\/(-671) + 28\/35*5\/(-99). What is the second biggest value in f, 12, -41?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -730*u = -13556 + 9906 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand -427*y**4 + 45*y**4 + 285*y**4 + 2*y**3 + (y - y + 2*y**2)*(0*y**2 + 2*y**2 - y**2) - 4*y**4 - y**4 + 4*y**4 - 2*y**4 - y**4 + 5*y**4.\nAnswer: -94*y**4 + 2*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7 - 4*p**2 + 7)*(-1 - 6 + 8).\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-5)\/(-406)*219417\/(-435). Let m = 2\/841 - d. Find the common denominator of m and -15\/8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = 6*d**2 - 4. Let n be g(3). Suppose 3297*a + 446 = 3306*a + 149. Let c be 11\/a - (n\/6)\/1. Which is bigger: -28\/3 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = 6*f - 4 + 2 + 3*f. Suppose -2*v + 2 + 20 = 0. List the prime factors of y(v).\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 127 is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = -2*u + 3. Let v(q) = -q**2 - 27*q + 79. Let y be v(3). Let m(n) = 4*n - 6. Determine y*p(g) - 6*m(g).\nAnswer: -2*g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -2, 32, -3, -2610 in decreasing order.\nAnswer: 32, 5, -2, -3, -2610","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = q**2 + 2*q + 13. Give p(7).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-x**3 - 1 + 1)*(375*x**2 - 28 - 36 - 387*x**2) + 0*x**5 - 2*x**5 + 3*x**5 + (-7*x**3 + 3*x**3 + 2*x**3)*(-2*x + 2*x - x**2) + x**5 + 0*x**5 - 2*x**5.\nAnswer: 14*x**5 + 64*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in twenty-one fifths of a kilogram?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -9 + 26*q - 23*q + 22 as y + j*q and give y.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*p - 124 = -6*p. Let g = -20 + p. Let f = -33 - g. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-38)\/(-60) - 4\/12)*-2. Which is the smallest value?  (a) 1\/5  (b) t  (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 563673578?\nAnswer: 2, 13, 21679753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s\/s**(2\/3)*s*s\/(s*s**(1\/8)*s)*(s\/(s\/s**(-1))*s*s*s)**(-9\/5))**23)**(-45) assuming s is positive.\nAnswer: s**(28083\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = -s**2 - 4*s + 11. Let t(p) = p. Calculate 6*t(d) + v(d).\nAnswer: -d**2 + 2*d + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.09548 plus -0.7?\nAnswer: -0.79548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.3467355525 to 4 decimal places.\nAnswer: -0.3467","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 446\/2141 greater than -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 d and 1 v when two letters picked without replacement from vdkdvebem.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2*(-119)\/136*(-6)\/105*155.\nAnswer: 31\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 514 minutes after 6:57 PM?\nAnswer: 3:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b = -2*u - 3586 + 20664, 5*b = 10. What are the prime factors of u?\nAnswer: 2, 5, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 156 minutes before 7:14 PM?\nAnswer: 4:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 143\/66 - (3 + 34\/(-12)). Solve -10 = q*i - r, -5*i - 28 = -2*r - 2*r for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -15.0089 - -5836.5279\nAnswer: 5821.519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = -55*g - 3. Let w be y(-2). Suppose 108 + w = k. Suppose -736 - 124 = -4*i + 4*f, 3*f + k = i. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = -19*f**2 + 2*f + 9. Let g(v) = 4*v**2 + 1. Calculate b(u) - 2*g(u).\nAnswer: -27*u**2 + 2*u + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 0.08 times 179700.7\nAnswer: 14376.056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) be the third derivative of -b**4\/8 - 7*b**3\/2 - 2*b**2. Let q(h) = -119*h - 119*h + 349*h - 113*h. Determine a(q(d)).\nAnswer: 6*d - 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express -22542*r + 852*r**2 + 2 + 22542*r + 0 as f + i*r**2 + l*r and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = s**2 + 6*s - 1. Let c be z(-7). Let p(t) = 2*t**3 + 2*t**2 - 2*t + 8. Let h be p(c). Round h to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = 25*t + 599. Determine n(-19).\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 101666372?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1*1*sqrt(1008) + -2 - 3*(sqrt(1008) - (5 + -1 + sqrt(1008))))*-4 + 4)**2.\nAnswer: -3456*sqrt(7) + 17424","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 54 + 5234*i - 54 - 1345*i.\nAnswer: 3889*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -347 + 369. Sort -1\/5, r, 1, 5 in descending order.\nAnswer: r, 5, 1, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = 5*b + 0*b - 2*b + 0*b + 45. Let t be y(-15). Is 39 a factor of -9 + 164 + (t - -1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = h**2 + 6*h - 3. What is j(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -30713030, -30713035, -30713044, -30713057, -30713074?\nAnswer: -30713095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*p - 4*p + 2*t - 8, -4*p = -4*t + 16. Suppose f = -0*f - p*f. Let a be 2*((-2 - -1) + f). Sort -3, a, -5 in decreasing order.\nAnswer: a, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 6877 + -2594. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*r**3 + 8*r**2 - 2844*r + 8352 = 0.\nAnswer: -29, 3, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m = 5, 372*m = 2*k + 371*m + 9. Let r(z) = -4*z**2 + 5*z + 41. Determine r(k).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -925 + 513. Let j = l - -431. Which is smaller: j or 33?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 7253757 to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2965093 is divided by 388?\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*j + o + 20 = 3*o, 3*o = -j + 2 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w + 207 = -149. Let o = w - 85. Solve -o*s - 11 - 5 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = -43*g + 6. Let s(u) = -29*u + 4. Let k(v) = -8*s(v) + 5*z(v). Let x(a) = 44*a + 8*a + 6*a + 6*a - 68*a + 5*a. Give k(x(d)).\nAnswer: 17*d - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand 5*w**2 - 1069*w**5 - 5*w**2 - 17*w**5 + (-w**3 - 3*w + 3*w)*(w + 2*w**2 - w).\nAnswer: -1088*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) be the third derivative of 0 + 1\/40*c**6 + 3\/20*c**5 - 3\/70*c**7 + 0*c**3 + 10*c**2 + 0*c - 1\/8*c**4. What is x in n(x) = 0?\nAnswer: -1, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 6.6053 to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = -l**3 - 4*l**2 + 5*l - 2. Let a be (-3)\/9 - 28\/6. Let u be s(a). Let p = u + 4. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-16)\/(-12)*(-63 + 74 + (-2)\/4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = x**3 - 1. Let t be g(0). Let m be (3 - 8)*1\/t. Solve -m*d - 14 = 3*y, -3*y + 2*y = -3*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:35 AM and 1:35 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -88165 * -91\nAnswer: 8023015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3630 divided by -785.\nAnswer: 726\/157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in seven quarters of a milligram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 9867 and 3796?\nAnswer: 2881164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = f**3 - 4*f**2 + 5*f - 3. Let p be m(3). Suppose -p*o + 14 + 4 = 0. Let a be (-10 - 1)*(-7 + o). What is the highest common factor of a and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8753 a multiple of 113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in -7, -4, -2\/17, -30?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2380)\/22372*2\/5?\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 108023\/7 + -15381. Which is smaller: b or 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 20 + 9 - (10 - 33 - 14)?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 29.15 + -0.15. Let w = -24 + f. Let d = 7 - 6. Put d, w, -10 in descending order.\nAnswer: w, d, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 1\/2, -138, -22, 1\/8, -4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 214987794 to the nearest integer?\nAnswer: 599","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h - 146 + 32 = 0. Suppose m - h = -35. What is the tens digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-5*2\/4)\/(132*(-1485)\/5959008)?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 l and 1 h when two letters picked without replacement from {h: 1, p: 1, l: 2, s: 1, q: 4}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = -3 + 0 - d + 1. Let m be g(-2). Suppose 3*y + 2*y - 195 = m. Is y a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 12701941 and 595.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -36 - -34. Which is the third biggest value?  (a) g  (b) -2\/15  (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -3 + 0. Let t = 3.3 + n. Let p = t + 1.7. Which is the third smallest value?  (a) -0.1  (b) p  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = 12*y**2. Let n(c) = -3831*c. What is n(t(o))?\nAnswer: -45972*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is -7210747 not equal to -7210730?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 23649?  (a) -3\/2  (b) -1\/4  (c) -3\/4  (d) 0.114\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -79, -99, -119?\nAnswer: -139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 57465 + -19?\nAnswer: 57446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -4, -16976, -3.7, -0.26?\nAnswer: -16976","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 304, 208, 26, -248, -620, -1096, -1682, -2384?\nAnswer: -3208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Are -1 and -1\/380 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7465.\nAnswer: 5, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = -2*a**2 - 31*a - 14. Let i be x(-15). Suppose -i - 12 = -3*y + 5*m, 0 = -3*y + 3*m + 21. Calculate the highest common factor of 77 and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 7\/2 of a year?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*a**2 - 2 + 141*a**4 + 110*a**4 - 268*a**4 - 3*a**3 + 3*a as l*a**3 + h*a**4 + j*a + t + d*a**2 and give h.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*w**3 - 6*w**3 - 4493*w**2 - 4*w**3.\nAnswer: -15*w**3 - 4493*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -65 + 26. Let t = -22 - g. Calculate the greatest common factor of 136 and t.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 581 divided by -1025872?\nAnswer: -581\/1025872","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -2.002 + -0.998. What is the closest to 1 in -4, 2, n, -2\/9?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = -12*r - 105. Give c(-9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 15\/4 of a kilogram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f - 520 = -2*r - 0*r, 5*f = -2*r + 484. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-1)\/(-3) + 25\/(-3). Let c(r) = -14*r + 1. Let a be c(1). Let x = n - a. Is 3 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.2 - 12.2. Let k = q - -40. Let v = 23 - k. Which is the closest to -1?  (a) -4  (b) -2\/5  (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -320.33 rounded to zero dps?\nAnswer: -320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*u + 2*u - 48 = 0. Let l = 16 + u. Suppose -3*q + 98 = l*b, 4*q - 52 - 120 = 5*b. What is the remainder when 188 is divided by q?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 74726640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 420355558?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -460 and -141606?\nAnswer: 141146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g*g\/(g**(2\/7)\/g))**(-6)*(g\/(g*g*(g\/g**(1\/2))\/g))**(-9\/2)*(g**(-6)\/g**1)**24 assuming g is positive.\nAnswer: g**(-5097\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -3813 - -3819. Let z(q) be the third derivative of 0*q - 1\/90*q**t + 3*q**2 + 0*q**3 + 0*q**4 - 1 + 1\/45*q**5 + 1\/630*q**7. Factor z(r).\nAnswer: r**2*(r - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -264554 - -264557. Let i be (5\/65)\/(1\/2). What is the nearest to 1\/3 in i, y, 6, 5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = 9*v + 40. Let n be x(-4). Let r(z) be the first derivative of -3 - 1\/5*z**3 + 1\/20*z**n - 1\/2*z**2 + 1\/25*z**5 - 2\/5*z. Suppose r(i) = 0. What is i?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = 2*p**2 + 7*p. Let y(f) = -f. Let b = 17 - 13. Suppose -3*v = 2*a - 44, b*a + 5 + 3 = 0. Let s = v - 15. Determine s*k(l) + 6*y(l).\nAnswer: 2*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -133 in -176, 6, 3, -3\/8, -4?\nAnswer: -176","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 w, 1 o, and 2 s when four letters picked without replacement from {s: 3, w: 3, o: 1}?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -5 + 22?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(sqrt(27)\/sqrt(36) - sqrt(3))**2.\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -66, -206, -432, -750, -1166, -1686?\nAnswer: -2316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -46 = 2*r + 5*s, -148*s + 133*s = 150 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 9\/5 < -1\/25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a - 6531 = 3139. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2368*g = 3*z - 2372*g + 23, -5*z + 3*g - 31 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9 - 3 = 3*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 0 - 6)*(-4*b**3 + 17*b**2 + 85 - 8 + 2*b - 81).\nAnswer: 16*b**3 - 68*b**2 - 8*b + 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (175\/30)\/((-11)\/(-66)) + 258\/(-43).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 921.\nAnswer: 3, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = -949*b - 15072. What is a(-16)?\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3365 + 2*t + 0*t + 0*t.\nAnswer: 2*t - 3365","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 14 (base 9) in base 7?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/5 of a meter in millimeters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(((sqrt(693)*-2)\/sqrt(11) + sqrt(63))\/sqrt(9) + ((sqrt(63) + 2)**2 - (sqrt(343) + (sqrt(343) - (sqrt(343) + -1)))**2) + -5).\nAnswer: -564 - 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (m + 24*m**3 - 25*m**3 - 2*m)*(-2 + 2 + 6*m).\nAnswer: -6*m**4 - 6*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3\/14)\/3*8?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = -81*l**2 - 90*l - 12. Calculate h(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -21293*v = -10414*v - 10683*v + 13328 for v.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 22 - 20. Suppose -j + 5*j = y + 167, 0 = 3*j + 2*y - 139. Suppose 3*p - 107 - j = -3*k, o*p + 5*k - 94 = 0. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:51 PM and 5:41 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 6946 and 5520\/(-216)*(7 + -16)?\nAnswer: 34730","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -t**3*y + 4152924*t**3 + 56787*t**2*y + 2*t*y + 7*y wrt y.\nAnswer: -t**3 + 56787*t**2 + 2*t + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 622123103 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 170 = 16*v - 109 + 39 for v.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 9 + -4. Suppose t*m = 11*m - 126. Calculate the highest common divisor of 105 and m.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 53 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*p + j + 48, j - 14 = -p - j. List the prime factors of 1*((p - 3) + 0).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2072*t - 2084*t = -36. Solve -4*k - 8 = 4, -t*l + 2*k - 3 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 60\/(-255) + 92\/(-476) + 0?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = 32*t - 780. Let f be b(23). Suppose -284 = 5*g - 59. Does f = g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3180000 rounded to the nearest one hundred thousand?\nAnswer: -3200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 l and 3 i when four letters picked without replacement from ggiilggi.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-49567)\/(-1649) - (-9 + (-8 - -47))?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify i*(i*i**(7\/6))\/i*i**(2\/43)*i*i**6\/(i\/(i*i\/(i*i*i*i**(1\/18)))) assuming i is positive.\nAnswer: i**(2770\/387)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*sqrt(360))\/(sqrt(2) + sqrt(2) + (sqrt(48)\/sqrt(8))\/sqrt(3)).\nAnswer: 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1.43 + 1.6. Let m = -0.17 + t. Put 4, m, -7 in descending order.\nAnswer: 4, m, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x - 4 = -2*z + 124, -25 = -5*x. What is the remainder when z is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a = -5*p - 11, 3*a - 15 = -6. Sort p, 5, -2\/13.\nAnswer: p, -2\/13, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from kkdkkkkkkkkkkkkdkkk. Give prob of sequence kkd.\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 948 is divided by 56?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -6 + 7 + -1 + 4. Suppose 2*u + 5*q = w, -4*u - q - 6 = -50. What is the highest common divisor of u and 44?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -2*q + 3*q. Let n(z) = -19*z**2 + 7*z + 10. Let d(x) = 6*x**2 - 2*x - 3. Let y(b) = q*n(b) - 14*d(b). What is the first derivative of y(a) wrt a?\nAnswer: -16*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -600*r + 316*r + 253*r.\nAnswer: -31*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 (base 13) in base 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 65*b - 301*b + 69*b - 11 + 70*b + 84*b.\nAnswer: -13*b - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9656?\nAnswer: 2, 17, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1.4319 + -1.5681. Put 0.3, h, -4, 2\/3 in decreasing order.\nAnswer: 2\/3, 0.3, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 1 - 4)*((-3*g + 4*g + g)*(-1 + 2 + 1) + 2*g + 7*g - 2*g).\nAnswer: -22*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1011110 (base 2) to base 12.\nAnswer: -7a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0003603 rounded to 5 decimal places?\nAnswer: -0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 44660.44 millimeters?\nAnswer: 44.66044","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 51249858?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(-16)*x**(3\/4))\/((x\/((x\/(x**(-12)\/x*x))\/x))\/x**(1\/6)) assuming x is positive.\nAnswer: x**(-49\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 6436390918.61 - 18.2\nAnswer: 6436390900.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 573?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*k + 3 = 0, -8*q + k - 10 = -5*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -68 + 83. Let q = 40 - l. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 9145 and 1572320.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v = -5*b - 27, -v - 3 + 42 = -5*b. Let s = -1132 - -1131. Put s, -4, b in descending order.\nAnswer: s, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -94673 rounded to the nearest 10000?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.2327 to two dps.\nAnswer: 0.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 7\/244*(10\/6)\/(10\/108). Are 0 and o equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = p**2 - p. Let v(j) = -2*j**3 - 2*j**2 + 1. Let a be v(-1). Let h be (3\/(-6))\/((-16)\/32). Let g(s) = s**3 - s**2 + s + 1. What is a*q(r) + h*g(r)?\nAnswer: r**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 3407625 a multiple of 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 169.6 + -170. What is the nearest to -3\/7 in 1, d, -41, 2\/9?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1.3 + -17\nAnswer: -15.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 4901 - 2161. List the prime factors of t.\nAnswer: 2, 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = -1 + 12*d - 10 + 1 - d**2. Let w be t(10). Suppose -5*r + w = -3*r. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -9873411943+-5\nAnswer: -9873411948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 554 is divided by 540.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert 114253 (base 6) to base 2.\nAnswer: 10011100111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) be the third derivative of c**8\/30240 - c**7\/11340 - c**4\/24 - 2*c**2. Let p(z) be the second derivative of t(z). Find u, given that p(u) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4*2\/10 + 4 + 1688\/(-540)\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -3130325, -3130354, -3130383, -3130412?\nAnswer: -3130441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -4  (b) -1\/52  (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (0 - 1)*-5*(-6)\/(-10). Which is the nearest to 0.2?  (a) 0  (b) l  (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -19 + 11. Let r(q) = q**3 - 10*q**2 - 12*q + 4. Let f be r(11). Let h = f - o. Sort -3\/2, -3, h in ascending order.\nAnswer: -3, -3\/2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = 2*u**3. Let j(r) = -r**3 - 28*r**2 + 55*r - 99. Let x be j(-30). Let f(y) = -15*y**3. What is x*t(w) + 6*f(w)?\nAnswer: 12*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -292 + 302. Let j be 3 - (-22)\/o - 3\/15. Which is the closest to -0.5?  (a) j  (b) -1\/2  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 252\/(-135)*(-2)\/((-24)\/(-9)).\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 358619 smaller than 358619?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 27404 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2668721 is divided by 709.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 83\/17 - (-6)\/51. What is the third derivative of 6*k**5 + 4*k**i + 4*k**2 + 5*k**2 + 0*k**2 wrt k?\nAnswer: 600*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -5346583, -10693111, -16039639?\n\"Answer: -5346528*v - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 44994402.\nAnswer: 2, 3, 2499689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.3 and 7369?\nAnswer: -2210.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1999912.\nAnswer: 2, 249989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*f - 24 = 4 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -832*p + 30770 + 6670 = 0 for p.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 13718.99044 rounded to the nearest ten?\nAnswer: 13720","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 4 + -4040532?\nAnswer: -4040526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -210*m - 152*m - 9555 = 93*m for m.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 21032212212 (base 4) to base 13\nAnswer: 669135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 718010 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 - 0.324816?\nAnswer: -4.324816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 30306\/27 - (-2)\/3. Let j = c + -1120. What is the common denominator of (2 - 1908\/27)*6\/56 and j?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 71\/360 and -163\/27000.\nAnswer: 27000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-13)\/(-156))\/((-1)\/2)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = -z**3 - 4*z**2 + 8*z + 6. Let m be x(-5). Let p = -17 - m. Let h(r) = -r**3 - 9*r**2 - 9*r + 3. What is the tens digit of h(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = f + 26. What is r(-8)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -668, -1367, -2066, -2765, -3464?\nAnswer: -4163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (8\/50)\/(12\/(-10)). Let v = -5.6 - -2.6. What is the third biggest value in v, -3\/8, z?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6 + 446*g**3 + 2*g - 15 - 63 - 315*g**3.\nAnswer: 131*g**3 + 2*g - 72","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 38 + 18. Let d(h) = h**3 + 7*h**2 + h + 2. Let j be d(-6). What is the greatest common factor of g and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 274752.1 to the nearest one thousand.\nAnswer: 275000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 3213442342 (base 5) to base 4\nAnswer: 121313200230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) be the second derivative of -x + 0 + 0*x**2 + 1\/3*x**3. Suppose 4 = -3*j + j. Calculate y(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*q - 1568 - 3920 = 0. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = -2*u**2 + 9*u + 1. Let q(z) be the third derivative of -z**4\/24 - z**3\/6 - z**2. Let i(p) = -d(p) - 6*q(p). Let j be i(4). Solve j = 2*b - 7*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9587701909 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-2 - -7)\/(((-50)\/(-30))\/(10\/75)). Which is the closest to 81?  (a) v  (b) 0.3  (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 - 7 = 4*i, i + 235 = 2*d. Let c be -6*(-4)\/d*1. Suppose 0 = 2*k + 2*s + 10, k = -3*s - 14 - 1. Which is greater: c or k?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(495) - (sqrt(495) - sqrt(495)*-1) - sqrt(495))*-5 - sqrt(495) - sqrt(495))\/(2*sqrt(539) + -1*sqrt(22)\/sqrt(2)).\nAnswer: 24*sqrt(5)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 49368826 and 78.\nAnswer: 148106478","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1 + 3. Let t = 13 + -3. Let m = t - 3. What is the remainder when m is divided by f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 7*g*o**2*q - 2*g*q*u + 24*g*q - 30*o**3*u - 7*o**3 + 193*o*q*u - 2*o*q + 2*q wrt u.\nAnswer: -2*g*q - 30*o**3 + 193*o*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -44845, -89703, -134559, -179413, -224265, -269115?\nAnswer: -313963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3 + 0 + 9 + (-22 - -12)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*h**2 + 32 - 32 + 43*h - 70*h**2 - 43*h + (7 - 3 - 3)*(-h - 2*h**2 + h).\nAnswer: -76*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n = 3*y + 30, -3*n - 2*y + 12 + 2 = 0. Let h = -4 + n. Let a(f) = 4*f + 38. Calculate the remainder when a(-9) is divided by h.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 14\/9, -0.173, 2?\nAnswer: -0.173","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 103544162 to the nearest integer?\nAnswer: 470","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3022.\nAnswer: 2, 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3995 is divided by 74?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*h + 1 = -4*r + r, -2*h - r - 4 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 10078748 a multiple of 116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = -k**3 + 3*k**2 + 4*k - 3. Let q = 62 - 0. Suppose -2*l = 4*a + 50, 4*l - 2*l - 2*a + q = 0. Let w = l - -33. What is u(w)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 189 - 97. Suppose -961 = -93*x + b*x. List the prime factors of x.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 73\/24 and 7\/10212372?\nAnswer: 20424744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -7, 163903, -8 in ascending order.\nAnswer: -8, -7, -3, 163903","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 248597 - -39896. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:39 AM and 9:30 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 17 + -4. Let x(p) = -5*p + 9 + 3 - 22. Calculate the remainder when x(-7) is divided by a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2429541?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 280903 is divided by 204?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 122612?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 19 - 22. Let m be (10\/28)\/(t\/6 + 1). Is 1 < m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22 = -2*i + 2*m - 4, -35 = -3*i - m. Solve -2*f - 3 = -s, -s - 7 = 5*f + i for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5*z + 5*z + 3*z**3 + (3*z + z - 3*z)*(5*z**2 - 3*z**2 - z**2) + 1081*z - 1081*z + 91*z**3 to p + g*z + o*z**3 + l*z**2 and give o.\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:02 PM and 11:32 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h + 0 = -8. Suppose c = h + 5. Let o(j) = 3*j**2 + 3*j + 3. Let r be o(4). Calculate the highest common divisor of r and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 507*k**2 - 261*k**2 - 247*k**2.\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor -j**4\/5 + 22*j**3\/5 + 73*j**2\/5 + 10*j.\nAnswer: -j*(j - 25)*(j + 1)*(j + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -16887167 times -3?\nAnswer: 50661501","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 34 and 48144?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = -105*r + 12. Let q(z) = -52*z + 8. What is -2*f(g) + 5*q(g)?\nAnswer: -50*g + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sum 2.4 and -38296400367.\nAnswer: -38296400364.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: (1746\/776)\/((-9)\/304)\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6284*j - 5544*j = -740 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 1c23 (base 16) in base 13?\nAnswer: 3381","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = 3*h + 10. Let k(u) = -6*u - 21. Let r(p) = -3*k(p) - 7*m(p). What is the smallest common multiple of r(-3) and 9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -3.07 + 0.07. Let r = -17 - -17.1. Which is bigger: r or a?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*p = -4*p - 16. Let b be (0 + -8)*(-302)\/p. Suppose 5*y - 3*i = 375, -4*y = -i - i - b. What are the prime factors of y?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a = -0*a. Let w be a\/1*1\/1. Solve -q - 4 = -w for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 122637836?\nAnswer: 2, 101, 107, 2837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (3\/6)\/((-2)\/56). Let j = q - -17. List the prime factors of j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4\/(-5)*50\/260.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n = 12*n - 53537. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 276.0693 nanoseconds?\nAnswer: 0.0000002760693","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rg when two letters picked without replacement from {f: 1, a: 1, g: 1, r: 1, s: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 72*m - 68*m - 1268. Let h = m + -23. What are the prime factors of h?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 11\/(-2) - (-3)\/(-12). Suppose -6 - 12 = 3*h. Let q = u - h. What is the nearest to -1 in q, 2\/7, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = b**3 + 6*b**2 + b - 6. Let s be m(-5). Let i be ((-720)\/(-168))\/(3\/s). Solve -2*x + 3*h = -4, 0*x - 4*x - h - i = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(2112) + -2*sqrt(4752))\/(sqrt(88)\/(sqrt(88)\/sqrt(396))).\nAnswer: -8*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = -25*i**2 - 130*i + 717. What is a(4)?\nAnswer: -203","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -2, 46, -4, 23, 0 in descending order.\nAnswer: 46, 23, 2, 0, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26*b = 29*b - m - 34, -2*m + 4 = 0. Suppose -a - 1 = 3*t, -3*a + 4 = 4*t + b. Let z(r) = -r**3 - r + 1. Determine z(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(-12)\/(d\/(d**(-16)\/d)))\/(d**(2\/37)*d*d*d**(-3)) assuming d is positive.\nAnswer: d**(-1075\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) be the second derivative of t**7\/5880 - t**6\/630 + t**5\/210 - 25*t**3\/6 - 23*t. Let r(u) be the second derivative of y(u). Factor r(v).\nAnswer: v*(v - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 15.4 + -15. Let z = k + -2. Let b = z + -0.4. Sort -1, b, 4\/5.\nAnswer: b, -1, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 g and 3 i when four letters picked without replacement from igiggigiigigiggggii?\nAnswer: 70\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s - 3 = -9. Suppose 4*t + 18 = s*t. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -17 - -19. Suppose -n*u = -u - 5. Suppose -6*m - 2*m - 32 = 0. Sort -3, m, u in ascending order.\nAnswer: m, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*sqrt(112)*-1*2.\nAnswer: -48*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -270314, -540622, -810930?\n\"Answer: -270308*o - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = -5*i**2 - i - 7. Let q be 96\/4 - (-98)\/(-14). Let l(u) be the first derivative of -14*u**3\/3 - 3*u**2\/2 - 20*u + 1. What is q*p(a) - 6*l(a)?\nAnswer: -a**2 + a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 2912 and 8498.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 37477?\nAnswer: 11, 3407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*((0 + -3*sqrt(396)*-1)**2 + -1).\nAnswer: -21378","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*q + 2*q + 5*a - 16, -3*q - 12 = -3*a. Let z = 4 + q. List the prime factors of z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 30*s + 237 - 237 + 27*s**5 wrt s?\nAnswer: 540*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 71027?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -5\/6, -12, -0.1, -51, -17?\nAnswer: -51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = -2*v**2 + 47*v - 84. Let w be y(16). Let x be (-2)\/10 + (-518)\/10. Let h = w + x. Is 26 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4679*h = -4653*h + 118040. Which is greater: -1\/4 or h?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 89633.\nAnswer: 89633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 234 is divided by 22.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 563491 and 163?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 48070?\nAnswer: 2, 5, 11, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1100110101000 - 11?\nAnswer: 1100110100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1.1 in 0, -4\/5, 4, 0.06?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/(-4) + 7\/14?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2 - -7) + -6 + -2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/9, -2501\/21, 0.1 in decreasing order.\nAnswer: 0.1, -2\/9, -2501\/21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = -g**3 + 21*g**2 - 113*g + 14. Let z be j(11). Let c = -80 + 181. Let y = z + c. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -87 + 98. Suppose 3*z = -4*h + 505, -4*z + 16*h = w*h - 694. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 463*h - 1 = 465*h - 3*a, 4*h - a = -7 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t - 583 - 174 = -3*h, 1283 = 5*h - 2*t. Let m be (-9)\/12 - h\/12. Is (60\/(-2))\/(m\/11) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 22757796?\nAnswer: 2, 3, 443, 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = -510*n - 3568. Let x be d(-7). Let h be 10\/(-12)*9\/(-20). What is the closest to x in h, 4, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -118*i**6 - 32*i - 21*i - 40*i**2 + 53*i wrt i.\nAnswer: -14160*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 175981255789 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.397712 take away -2.2?\nAnswer: 0.802288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 9 times -225\nAnswer: -2025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.02 - -0.02. Let q = -0.2 - f. Let n = q - -0.5. What is the closest to 1 in 1, -0.5, n?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 668599404 and 796.\nAnswer: 796","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = -2*j**2 + 45*j - 62. Let h be q(21). Does 21 divide h\/((2 + -1)*40\/44360)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 21\/2 of a century in decades?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = -h - 6. Let v be p(5). Let k = v - -27. Let i be 2 + (-1 - 0) - -15. Do i and k have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*h + 29266*i - 29270*i = 31, 2*h + 3*i = -18 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 - ((10 - (-3 - -17)) + 11).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 2 (base 13) to base 7\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 1\/7, 145, 288?\nAnswer: 288","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -26*g + 259 - 479 = 482 for g.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = -j - 2. Let d be g(-5). Determine p, given that -p**2 - 2*p**d - 5 - 8*p + 2*p + 3 - 5*p**2 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 50 a factor of 8876893?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -173 + 437. Suppose 0 = -11*t + 5*t + c. Calculate the highest common factor of t and 110.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) be the first derivative of 2*b**5\/5 + 65*b**3 + 7*b**2 + 2*b - 1028. Find the second derivative of k(z) wrt z.\nAnswer: 24*z**2 + 390","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 + 170*k**3 - 2 - 169*k**3.\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gqt when three letters picked without replacement from {q: 1, t: 1, g: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 1\/(-1) + 40\/14. Suppose p = -4*d - 957 + 947, -d + 29 = -2*p. Which is smaller: d or y?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) be the third derivative of 5*g**2 + 0*g + 1\/24*g**4 + 0 + 0*g**3. Calculate the remainder when 23 is divided by h(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zez when three letters picked without replacement from vezevvzeevvvzvzvv?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = 2049*i - 188130. Give v(92).\nAnswer: 378","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 6288 and 104388?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is -56 not equal to -244?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -21*t**3 + 7 + 15785946*t**2 + t - 15785946*t**2 to h*t + n*t**2 + q + z*t**3 and give z.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 12083?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 108746*u - 108746*u - 9*u**2.\nAnswer: -9*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6 + 0 = 2*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -3176\/35 - -468\/5. Let j be 66\/14 + (-4)\/(-14). Let a*q**3 - 10\/7*q + 4\/7*q**4 + 4\/7 - 10\/7*q**j - 8\/7*q**2 = 0. Calculate q.\nAnswer: -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = -5*s**3 - 4*s**2. Let x(n) = -n**3 - n**2. Determine -h(j) + 6*x(j).\nAnswer: -j**3 - 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 486979\/20 - 24355. Calculate the common denominator of k and (-262)\/(-154) - (256\/(-28))\/16.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -141 - 193 + 56 - 2*u - 38 in the form i + y*u and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -70 - -38. Let d be 3 + z\/10 - (-2)\/10. Sort 0.4, 0.5, -2\/9, d.\nAnswer: -2\/9, d, 0.4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: (1\/3*39\/13)\/((-7)\/161)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*y - y - 3*y + (2 - 4 + 1)*(6 + 2*y - 6) - 3*y + 3*y - y)*(3 + 2 - 7) to n*y + a and give n.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00000428398 rounded to 7 decimal places?\nAnswer: -0.0000043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 1758 a factor of 989748726?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 17 + 65*44\/(-160)\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -127*a - 70*a - 350*a**2 - 874*a**2 - 2 + 99*a**2.\nAnswer: -1125*a**2 - 197*a - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.1117 - -6.1117. Which is the closest to 2?  (a) -0.1  (b) 0.02  (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-9)\/2 + (-67 + 4)\/(-9).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l + 12627 = -17178. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) be the third derivative of -o**5\/60 - o**4\/6 + 5*o**3\/6 - 3*o**2. What are the prime factors of i(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 3\/5, 0.4, -2\/9, -4, -396?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) be the first derivative of 34 + 0*d**2 + 0*d - 1\/3*d**3 + 5\/2*d**4. Suppose -o + 0 = -1. What is y(o)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -75\/2 and ((52\/(-42))\/2)\/(8\/108).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 68310 times 9.9?\nAnswer: 676269","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-4)\/(-2) + 3 + -3 + 0. Suppose -q = t*u - 663, -2*u = 2*q - 401 - 265. What are the prime factors of u?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 191 - 304. Let v = -123 - w. Let h = v + 9.6. Which is the closest to 10?  (a) 4  (b) h  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = 29*s + 12. Calculate y(0).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 572 minutes after 10:13 PM?\nAnswer: 7:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 33 - 4443678*r - 33.\nAnswer: -4443678*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0009866 rounded to five dps?\nAnswer: 0.00099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 72 = 15*i + 3*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 19.367 - 0.167. Let b = -2.2 + z. Let x = 16.9996 - b. What is x rounded to 4 dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 78 + -112. Let u = k + 13. Let v be (28\/u)\/((-8)\/114). Solve -v = -4*j - 3 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00000279184 rounded to seven dps?\nAnswer: -0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Are 0 and -112.93 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*-6*(1*sqrt(605) + sqrt(10)\/sqrt(200))*-2)**2.\nAnswer: 7096896\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a + 4*j - 36 = -j, -5*j = -2*a - 28. Suppose -3*y - 3*r = -0*r + 27, -4*y = -2*r + 18. Is y < a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.17 - -0.09. Let b = -0.84 - k. Let p = -2.15 - b. What is p rounded to one dp?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 27 = 3*n - 531. Let k = 644 - n. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) be the first derivative of h**3\/3 + 378. Let j(c) = -304*c**2. Calculate j(v(q)).\nAnswer: -304*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round -444220 to the nearest ten thousand.\nAnswer: -440000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -20 divided by -333967?\nAnswer: 20\/333967","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r\/r**(-7))\/r*r**4*r*r**(-1\/8)*r**(-4)\/r)\/((((r*r\/(r*r**(-2\/5)\/r))\/r)\/r)**15*r**(2\/9)*r**(2\/27)) assuming r is positive.\nAnswer: r**(125\/216)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 19413*b**3*x**3 + 736*b**2*x**2 + 2*x**3 wrt b.\nAnswer: 116478*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = 19*m - 14. Let q(j) = -j**2 - 8*j + 22. Let n be q(-10). Let z(x) = -4*x + 3. Let b(w) = n*g(w) + 11*z(w). Find the first derivative of b(o) wrt o.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 308, 301, 290, 275, 256, 233, 206?\n\"Answer: -2*m**2 - m + 311","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -4 from -48302210904.47.\nAnswer: -48302210900.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 16501 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + sqrt(300) + 4)**2.\nAnswer: 80*sqrt(3) + 316","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1090 = 37*q + 72*q. Solve -15*i + 2*p = -q*i + 31, 3*i + 9 = -2*p for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 167 and 3841?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 275093?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2816, -5621, -8424, -11225?\nAnswer: -14024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -246.8*-0.13.\nAnswer: 32.084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 184419251 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -4 + 2c29?\nAnswer: 2c25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express -5397*z - 88*z**3 + z**2 + 10799*z - 5402*z + 3 in the form w*z + q*z**2 + o*z**3 + h and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-117840)\/(-255) - 6\/51. Let f = 465 - h. Solve 5*i - f*v = 11 + 9, 3*i + 17 = -4*v for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 5, -1\/2, -4250, -1\/7?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*w**5\/2 + 158949*w**4\/2 - 2092709061*w**3\/2 - 336575475381*w**2\/2 - 1296056536668*w - 2558609380584 = 0. What is w?\nAnswer: -151, -4, 26571","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z\/(z**10*z)*z\/z**(8\/7))**35 assuming z is positive.\nAnswer: z**(-355)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 1137083274 to the power of 1\/3, to the nearest integer?\nAnswer: 1044","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*u = 4*u - 12. Factor -3*n + n + 5*n + n**4 - 5*n - u*n**2.\nAnswer: n*(n - 2)*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 820*a - 2412*a + 227164 = 1011*a + 1121*a for a.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o - 14 = -3. Let w = 62 + -19. Suppose -44*j + 121 = -w*j. What is the highest common divisor of j and o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of ((-765)\/(-120))\/(3303\/(-20)) and -53\/2.\nAnswer: 2202","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -167 equal to -141?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20*d + 208869 = -5*d - 150726. What are the prime factors of d?\nAnswer: 3, 61, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 71685 to the nearest integer?\nAnswer: 268","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 6 + 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert 23b36 (base 14) to base 13.\nAnswer: 3094c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((d**3 - 4*d**3 + 4*d**3)*(-4*d + 3*d + 3*d) - 2*d**4 + d**4 + 5*d**4 + 0*d**4 - 2*d**4 - d**4 + 39*d - 37*d + 16*d**4 - 28*d**4)*(3*d + 0*d + 0*d).\nAnswer: -27*d**5 + 6*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide 175800?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -5 + 1. Let s = -5 - q. Calculate the remainder when 128 is divided by (-2)\/((0 - 62\/(-66)) + s).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o + 8 = -g, -3*g = 6*o - 2*o + 13. Let r = 3 + o. Let t(m) = -6*m**2 + 21*m + 1. Let u(k) = -k**2 + 4*k. Calculate r*t(n) - 11*u(n).\nAnswer: -n**2 - 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Work out -7278.9 * -0.43.\nAnswer: 3129.927","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 0.09*159.795\nAnswer: 14.38155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = x**2 + 8*x + 18. Let g be j(-14). Suppose -g = -i + 277. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 33*f = 28*f + 20. Suppose -z = -f*z. Suppose -2*b + z*x - 5*x = -99, -4*b + 128 = -4*x. Is 5 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -532, -0.4, 454.\nAnswer: -532, -0.4, 454","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = -1772*s + 7. Let g be m(-1). Suppose -3*k + g = 297. List the prime factors of k.\nAnswer: 2, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -5205535186 - -0.5.\nAnswer: -5205535185.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 16428, 16412, 16396?\n\"Answer: -16*w + 16444","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) be the third derivative of 0*w - 1\/24*w**4 + 0 - 8*w**2 - 1\/6*w**3 + 1\/120*w**6 - 1\/60*w**5. Calculate i(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1\/2 or -9.909?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000829076103 to five decimal places.\nAnswer: 0.00083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -136 + 81. Let f be (-1)\/(4 - q\/(-10)). Which is the third smallest value?  (a) -6  (b) 1\/4  (c) f  (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 18 - 17.91. Let m = f - -3.91. What is the biggest value in m, -1\/6, 5\/2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -5 + -2534?\nAnswer: -2543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*g + 24 = 2*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fcbc when four letters picked without replacement from {f: 1, b: 2, c: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 4538740, 4538734, 4538726, 4538716, 4538704, 4538690?\n\"Answer: -t**2 - 3*t + 4538744","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = g**2 + 16*g. Does 9 divide t(11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -8523090 greater than -8523091?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -v**2\/6 + 3440*v\/3 - 70773\/2 = 0.\nAnswer: 31, 6849","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 677486 to the power of 1\/2, to the nearest integer?\nAnswer: 823","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 995\/20022 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = -5*g - 1. Let n(r) = 4*r - 14. Let s be n(4). Calculate w(s).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*f = 8, 539*f = -5*j + 541*f + 21 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 35.1383579 + -0.1390379. Let g = l + -35. Round g to four dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 3\/1 - (3 - 1). Suppose -31 = -2*i - k. Which is greater: 17 or i?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(-7))**(13\/2) assuming b is positive.\nAnswer: b**(-91\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (58*r**2 + 517 - 517)*(2 - 3*r + r + 1) to the form m + u*r + l*r**3 + q*r**2 and give q.\nAnswer: 174","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 32\/200 - (-133866)\/105525.\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) be the third derivative of -k**4\/8 + k**2. Let h(w) = w + 0*w + w - w. What is h(y(x))?\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = -12*p + 24. Let u = 3 - 16. What is the tens digit of x(u)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 c and 1 t when two letters picked without replacement from teeetteetceeetteeet?\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i - 6 = -3*t, -3*t = -4*i - 7*t + 16. What is the derivative of 44*p**3 - 83*p**3 - 47 + 37*p**i + 37*p wrt p?\nAnswer: -6*p**2 + 37","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + 3 + sqrt(320) + -3*(1 + sqrt(320)) + 3 + 2)**2 + 3.\nAnswer: -256*sqrt(5) + 1347","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 4, -10, 3093 in decreasing order.\nAnswer: 3093, 4, 2, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.6009 - 0.5009. What is the closest to k in 3, -4, -5, -0.45?\nAnswer: -0.45","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*v + 52*y - 39 = 48*y, 5*v - 2*y - 13 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Determine s so that -2*s**3\/5 - 11558328*s**2\/5 - 46233288*s\/5 - 9246656 = 0.\nAnswer: -5779160, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = -127*x**2. Let y(l) = l**2. What is y(i(r))?\nAnswer: 16129*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.04, -0.5, 375\/2.\nAnswer: -0.5, -0.04, 375\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1015)\/30 - ((-45)\/216)\/((-10)\/(-40)).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 259077.\nAnswer: 3, 7, 13, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 152, 342, 914, 2084, 4068, 7082, 11342, 17064?\n\"Answer: 36*z**3 - 25*z**2 + 13*z + 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 530 and 1484?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 24 divide 432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c - 12 = -0*p - 3*p, p = -2*c - 16. Let t be (-22)\/12 - 20\/120. Sort c, t, -3 in ascending order.\nAnswer: c, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = -c**2. Let t(m) = -5*m**2. Let v be (-28)\/4 - (-1 - -5). Calculate v*k(y) + 2*t(y).\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*u - 20*u - 26 = -h, -20 = -2*h + 2*u. Solve -3*a = -h*a - 9 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 359?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*a = -19 - 6 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 203585 to the power of 1\/2, to the nearest integer?\nAnswer: 451","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-10 - -10)*(3 + -4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 4, -2\/9, -5.63?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -688 - -13763\/20. Do g and -2\/5 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4*s + 1917*s**3 - 1894*s**3 + 5*s to the form n*s + g*s**2 + u + h*s**3 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 168, 729, 1672, 3003, 4728, 6853?\n\"Answer: t**3 + 185*t**2 - t - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = -22*p - 1776. Give t(-81).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-10)\/(-14) + (-4)\/(-14). Let m(k) = -k + 1. Let j(p) = -p**2 - 2*p + 1. Calculate v*m(b) - j(b).\nAnswer: b**2 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round 20005110 to the nearest 1000.\nAnswer: 20005000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -447, -435, -421, -405, -387, -367?\nAnswer: -345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -75 - -75. Let w(b) be the first derivative of -2*b + j*b**3 - 1\/2*b**4 - 3 + 0*b**2. Differentiate w(n) wrt n.\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 20 + 18 + (-65 - -24).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-8)\/(-36) + (-25)\/(-9). Suppose h*u - 5 = 2*u. Solve 0 = -i + u - 4 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.57 - 0.6. Let o = 0.23 + l. Which is smaller: -0.2 or o?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1\/((1\/(-2))\/1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 102032 + 1132103?\nAnswer: 1300201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*o = 2*t - 2, -t + 3*o - 27 = -46 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 70018140 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -10, -20, -30, -40, -50?\n\"Answer: -10*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 265185?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7611*u**2 - 15984*u**2 + 8374*u**2.\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.3 and 0.283747?\nAnswer: -0.0851241","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from zckzcgkzgzzgkzggzgzg. Give prob of picking 2 z, 1 c, and 1 g.\nAnswer: 392\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) be the third derivative of r**6\/780 - r**5\/390 - r**4\/39 + 4*r**3\/39 - 25*r**2 + 4. Factor j(z).\nAnswer: 2*(z - 2)*(z - 1)*(z + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 3016?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y - 3*u = 2*u - 153, 4*u = -5*y + 180. What is the greatest common divisor of 32 and y?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = 2125*y**2 + 10610*y - 5. What is q(-5)?\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-4)\/((-8)\/6) + -63. Let o be (1 - (13 + -2))*5. Let p be (w\/o)\/(2\/40). What is the highest common factor of 168 and p?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dggd when four letters picked without replacement from {g: 3, d: 4}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = -670*c + 10732. Give n(16).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is r in -42*r**3 + 453*r**2 + 99*r = 0?\nAnswer: -3\/14, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: (3\/(-12)*9)\/(-15*79\/632)\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -32277*p**3 + 79*p**2 - 68*p.\nAnswer: -193662","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -2 - -3. Let d = -2 + o. Let w = -1711 - -1715. Which is the nearest to w?  (a) 2\/5  (b) d  (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -433, -507, -617, -763?\n\"Answer: -18*g**2 - 20*g - 395","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 40 - 39 - (5 + -2 - (-28 - -9)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -1034500 rounded to the nearest 100000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(sqrt(363) + (sqrt(363) + -2 + 1 + sqrt(363) - sqrt(363)) + (sqrt(363)*-2 + sqrt(363))*5 + sqrt(363))*-2)**2*2.\nAnswer: 352*sqrt(3) + 11624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"}
{"text":"Question: -9 (base 15) to base 8\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.08 + -0.12565.\nAnswer: -0.04565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = z**2 + 4*z + 3. Let i be g(-4). Suppose -i*r = -2 - 10. Let o = r - 0. Is 4 equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 13573 and 1797908?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*m - 2*l + 186 = -m, 3*l = 2*m - 82. Suppose -46*n + m*n = -128. Is n a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = -2*a**3 - 62*a**2 - 61*a - 30. Let o be d(-30). Let v(j) = j**2 + 7*j. Let q be v(-7). Suppose 4*p = 8 - q. Solve p*b = -o*b - 2 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 157 = 2*j - 3*q, 2*j - 5*q + 188 = 5*j. Let p = j - 38. What is the remainder when 2\/(-2)*97*-1 is divided by p?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2720 and 400?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 91*r - 144 = 38. Solve 66*w - 64*w = -r for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 3\/7, 0.5, -0.2, -1.8, 0.15, 28?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 43?  (a) 4  (b) -4\/5  (c) -2\/65\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 20380974 is divided by 781.\nAnswer: 779","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = -9*l**2 - 5*l - 2. Suppose -395*h - 8 = -195*h - 192*h. Let t(z) = -z**2 + z. Determine h*r(w) + 6*t(w).\nAnswer: 3*w**2 + 11*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 20423 a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 147 + 126 = 3*k - p, 4*p = 3*k - 273. Solve -k + 107 = -4*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 458586?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1110221102012 + 1000?\nAnswer: 1110221110012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((b*b\/(b*b*(b\/b**6)\/b*b)*b)\/(b*b**(4\/3)*b))**34)**(-36))**8 assuming b is positive.\nAnswer: b**(-26112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 623 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 6, k: 5, g: 2, y: 1, x: 3}. Give prob of picking 2 x.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = -11*p. Let t(v) = -v**3 - 7*v**2 + 9*v + 1. Let q be t(-8). Let i(l) = 9*l**2. Let z(k) = -3*k**2. Let w(y) = q*z(y) - 2*i(y). Calculate w(m(f)).\nAnswer: 363*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r + 13 = 2*x + x, 0 = 5*x - 5*r - 45. Let w = x - 3. Suppose 0 = -w*i - 41803 - 22197. Round i to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11305541 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 46*z - 158*z + 5152 = 0. Calculate the greatest common factor of z and 43562.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -10\/73, -1\/7, -4, -2, 1\/18 in descending order.\nAnswer: 1\/18, -10\/73, -1\/7, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-3 - 3)\/12 + 90668\/14. Let g = w - 6468. What is the common denominator of 1\/50 and g?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(38) + (sqrt(76) + 4*sqrt(76))\/sqrt(2))\/(4*sqrt(288)).\nAnswer: sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 38510496?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m = 0, -6 = -0*g - 2*g - 5*m. Suppose 2*n - 149 = 51. Suppose 2*k = -g*f + n, 5*f - 4*k - 173 = -k. Solve -4*z = -14 + f for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 18855?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 79580*y**3 - 76*y**2 + 26*y - 6 wrt y.\nAnswer: 477480","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 31715084 or 31715086?\nAnswer: 31715086","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-567 + 918 + 157)*((1 + 0 - 3)*(0 - 2 + 0) + 0 - 2 + 0)*(q + 0*q + q).\nAnswer: 2032*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 52 or 836\/75?\nAnswer: 52","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find t, given that 21*t**4\/2 - 1321053*t**3\/2 - 2453541*t**2 + 754932*t = 0.\nAnswer: -4, 0, 2\/7, 62911","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = a**2 + 4*a + 7. Let n be (-2 + -8)*((-33)\/(-6) + -5). Calculate r(n).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -25449 (base 10) in base 14?\nAnswer: -93bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 1524.123 to the nearest one hundred.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*n**3 + 1044*n**2 - 2097*n + 1050.\nAnswer: 3*(n - 1)**2*(n + 350)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**2\/o)**47*(((o**(-2\/55)*o)\/o)\/o)\/o**9 assuming o is positive.\nAnswer: o**(2033\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -19\/2146 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 2, x: 2, y: 1, r: 1, n: 1}. What is prob of picking 2 x?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -353*v + 6796 - 4029 = -82*v - 7802 for v.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"}
{"text":"Question: Express -6 + 0 + 0 - g**2 - 6 as a + w*g**2 + n*g and give a.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = p + 2. Let w be s(-5). Let d = 2.3 + 0.7. What is the closest to 1 in w, d, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -171839050.3 rounded to the nearest 100000?\nAnswer: -171800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from oooocoooccooococoo. Give prob of sequence oooo.\nAnswer: 143\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-6 - 0)*1309\/(-34). Let h(q) = 2*q**3 - 19*q**2 + 15*q - 21. Let c be h(9). What is the greatest common factor of c and b?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -22725.05 + 22725. Let p(f) = -f**3 - 3*f**2 - 2. Let w be p(-3). Let u = w + 2. Which is the closest to u?  (a) 2\/3  (b) s  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -153.1 and 7.\nAnswer: -1071.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 207?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 4*(-8)\/48*(-2)\/2. Let s = -2.4 - -0.4. What is the closest to -3\/4 in -1\/2, s, j?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 30 + -21 + -15 + -1 + 3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*w = -5*y + 4, 2*y - 15 = -2*w - 5 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = w**3 + 9*w**2 + 14*w + 28. What is o(-5)?\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 324 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = -9*u**2 - 30*u + 143. Let a(b) = b**2 + b + 2. Let d(l) = -6*a(l) - v(l). Is d(14) a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -4\/3, 5, -6\/7, 2\/3, -1121?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 11395*k**2*s**2 - 6*k**2 - 610*k*s**2 - 360895*k*s - 2*s**2 - 4*s wrt s.\nAnswer: 22790*k**2 - 1220*k - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 581157 in 4\/3, -0.5, -8, -1\/4?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/4, -11011, -2 in ascending order.\nAnswer: -11011, -2, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -v + 4*n = 16, 2151*v - 6*n + 24 = 2156*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3\/23 in 4, -0.0269, 1\/12, 0.022, -5\/3?\nAnswer: -0.0269","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 12\/11, 0.3, -4, -1\/6, 14\/17, 2, 0?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 29210980, 29210975, 29210970, 29210965, 29210960?\n\"Answer: -5*f + 29210985","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -8321 + 544?\nAnswer: -7666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -19 + 12. Let z = v + 12. Let x(d) = -d + 5. What is x(z)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8 - (7 - 11 - -7).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 73\/62 and -59\/51.\nAnswer: 3162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -4 - -7. Suppose -q*c + 8 = c. Suppose c*a - 6*a - 37 = -3*f, 3*a = -3. What are the prime factors of f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = 194*u + 3472. Let f be o(-18). What is the closest to 0.098 in 1\/2, -1\/10, f?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 w and 1 r when three letters picked without replacement from wwwuuuuwwrwwww.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:57 PM and 6:49 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 2, 34, -2 in descending order.\nAnswer: 34, 2, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -26, 4, 0.5, 10?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 5 + -3. Let b(f) = -8*f + 27. Let n be b(3). Sort n, o, 5, 1 in decreasing order.\nAnswer: 5, n, o, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 41 - (-21 + 94) - 25?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = 57*i**2 + 133*i + 9. What is j(-2)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((y*y\/y**(-1))\/y)**(1\/39))**6\/((y*y\/y**(-2\/5))**(-41)\/((y*y**5)\/y**(-3\/4))) assuming y is positive.\nAnswer: y**(27419\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) be the first derivative of -c**7\/525 + c**5\/150 - 3*c**2\/2 - 3. Let b(t) be the second derivative of y(t). Suppose b(q) = 0. What is q?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 2074189?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-7*9\/30*22\/(-77))\/(12\/1260)?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 43032 - 43039.99984. Let u = -5.3 - -13.3. Let s = r + u. What is s rounded to 4 decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g*g*g\/g**(1\/2))\/(g*g*g**1)*(((g**1*g)\/g)\/g)**(2\/75))\/((g\/g**1)\/(g\/g**5)*(g*g**(-5\/4))\/g**(3\/2)) assuming g is positive.\nAnswer: g**(-11\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -188 - -222. Suppose -a - 23 = -3*l + 3*d, -10 = 2*d. Solve 4*r = x + 12, -x - 5*r + l = -1 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*i - 9 = -3*c + 3*i, 0 = 3*c + 4*i - 9. Suppose 10 + c = t. Let y = 23 - t. 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: What is the nearest to -2\/5 in 1\/4, -2, 632?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = 3*y + 29. Let h = -28 + 19. List the prime factors of a(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 20, -67, -210, -409, -664?\nAnswer: -975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-10)\/(-16)*1172\/1465. Sort -0.5, o, 13.\nAnswer: -0.5, o, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 407559?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1*3\/42)\/(77\/(-10087)*-131).\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3099829 is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = 88*s**2. Let l(g) = -18*g + 1. Calculate d(l(u)).\nAnswer: 28512*u**2 - 3168*u + 88","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m\/m**(-3\/4)*(m\/((m\/m**(1\/5))\/m*m)*m)\/m)\/(m\/(m\/(m*m**(3\/7))*m))**(-9\/7) assuming m is positive.\nAnswer: m**(2451\/980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-seven fifths of a litre in millilitres?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 360\/(0 + 3) - 3. Let l = r + -112. Solve -l = 4*x - 1 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 2 + s**2)*(-2*s - s + s) + 4*s**2 - 4*s**2 - s**3 + (-7*s - 4*s + 4*s)*(1 - 3 + 1)*(5*s**2 + 3*s**2 - 3*s**2).\nAnswer: 32*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k - 12696 = -2*a, 3*k = -2*a + a + 6347. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 54.8 + -55. Put 0, -9, -1\/2, u in ascending order.\nAnswer: -9, -1\/2, u, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 3939 - 3936. Which is the fourth biggest value?  (a) j  (b) -0.03  (c) 9  (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -8, -23, -42, -59, -68?\n\"Answer: w**3 - 8*w**2 + 2*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 545.0371 plus -4?\nAnswer: 541.0371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = -798*j + 81989. What is f(103)?\nAnswer: -205","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:39 PM and 2:24 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.9 in -0.15, -1, -0.5, 13450, -2, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*x**5\/7 - 60*x**4\/7 - 306*x**3\/7 + 3564*x**2\/7 = 0. What is x?\nAnswer: -9, 0, 6, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = 6*t**2 + 8*t - 15. Let f = 9 - 1. Let r(y) = 5*y - y - f*y - 3*y**2 + 8. Let x(o) = -4*n(o) - 7*r(o). Determine d, given that x(d) = 0.\nAnswer: -2, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3139*j**2 + 6394*j**2 + 9949*j**2.\nAnswer: 13204*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0 or 181\/214?\nAnswer: 181\/214","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -1860, 3\/7, 11, -0.214, -5?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -4 + 11. Let m be 2\/w - 360\/35. What is the remainder when 34 is divided by (16\/m)\/((-2)\/15)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 3 - 1 + (3 - 6 + 0)*(-16 + 9 - 14))*(-3 + 2*b + 5*b - b + 2*b).\nAnswer: 536*b - 201","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = -d - 14. Let s = -119 + 108. What is k(s)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.0437 + 0.0563. What is the fourth smallest value in 0.2, -3, -25, z?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = 2*n - 7. Suppose -2*m + 5*g - 3*g = -146, 5*g = 10. Let b be 133\/15 + 10\/m. Let y be t(b). Calculate the greatest common factor of y and 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -270422907 divided by -159.\nAnswer: 1700773","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is (-44*(-1)\/16)\/((-2)\/(-536)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 3\/6 - (-3)\/6. Let z be ((-174)\/24)\/(u\/(-8)). Let f = -68 + z. Is f bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1 - -2) + -14 + 12 - 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -5  (b) 0  (c) -1  (d) 849  (e) -78  (f) -7\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) be the first derivative of -7*w**3\/3 - 5*w + 7. Differentiate i(c) wrt c.\nAnswer: -14*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -950637 - -102669631\/108. Let r = -37\/54 - t. Calculate the common denominator of r and ((-13)\/9)\/(8\/12).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -121020000 (base 3) to base 14\nAnswer: -444a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 40057 to the power of 1\/2, to the nearest integer?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cbff when four letters picked without replacement from ffcffffcfcffcfbcff.\nAnswer: 11\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -4459*l**3*p - 713*l**3 - 4*l**2*p - 189749*l**2 wrt l?\nAnswer: -26754*p - 4278","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 15977\/2130 + -1\/1065. Which is greater: 8\/7 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 h and 1 f when three letters picked without replacement from {f: 10, h: 2}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 120\/(-16) + 5 - -1*3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -32 - -36345?\nAnswer: 36313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -2375 minus -0.2?\nAnswer: -2374.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 264 minutes after 2:43 AM?\nAnswer: 7:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 1\/(-2) + (-10)\/(-4). Suppose 31 - 3 = k*z. Suppose 1223*f + 6552 = 1391*f. Calculate the remainder when f is divided by z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1227718024?\nAnswer: 2, 13, 101, 116881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0 - 0. Let w be l*(-3 + 5)\/4. Suppose w = u + u - 130. Is u a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12800 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: What is f in -18*f**4 - 40*f**3 + 46*f**2 + 12*f = 0?\nAnswer: -3, -2\/9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1587994?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 1, o: 17}. Give prob of sequence go.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 173.1 - 173. Let x = 8 - 7. What is the closest to x in -2, r, 2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a + 67 = -2*k - 18, k - 2*a + 38 = 0. Let j = k + 52. Does 3 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1879750283 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*i = -12, -8*v + 4 = -5*v - i for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w + 43 = 2*d, 5*d = -4*w + 2*d - 29. Let o be 1*3*w\/(-132). Factor -o*f**2 + 1\/4 + 1\/4*f**3 - 1\/4*f.\nAnswer: (f - 1)**2*(f + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = -3*u. Suppose -n = 3*n. Let c(j) be the third derivative of 0 - 1\/12*j**4 + 0*j**3 - j**2 + n*j. Determine r(c(d)).\nAnswer: 6*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1 - -23. Let o = z - 22.4. What is the nearest to -1\/3 in o, 7, -2\/9?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = -4*i**3 + 4*i**2 - 5. Let s(g) = -g**3 + g. Let c(v) = 3*s(v) - w(v). Let f(k) = k**3 - 2*k**2 + 2*k + 3. Determine -3*c(m) + 5*f(m).\nAnswer: 2*m**3 + 2*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is (-8010)\/(-267)*(-22)\/52 - -13?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -1029, -1704, -2021, -1980?\n\"Answer: 179*b**2 - 1212*b + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = 42*q**2 + 49*q - 333. Is p(9) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (r**2 + r**2 - 4*r**2 + (1 - 2*r - 1)*(-2*r + 0*r + 3*r) - r**2 - 2*r**2 + 2*r**2 - 19*r**2 + 6*r**2 - 7*r**2)*(-r**3 - 1 + 1).\nAnswer: 25*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -3\/64216 and 7\/1733832?\nAnswer: 1733832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -13.6?  (a) -2  (b) -2\/3  (c) -5\/8  (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3409 = -5*s - 3369 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1 + -19. Let w = -14 - b. What is the derivative of -14 - 10*l + 4 + w wrt l?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 167519\/(-673530) + (-6)\/(-52)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 35227180?\nAnswer: 2, 5, 691, 2549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 2246+-0.0096\nAnswer: 2245.9904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o + 8*o = 18. Suppose -y + d = -o, -3*y - 1 = 3*d + 2. Which is bigger: y or -1\/21?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 39429 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 3813979137 less than -0.9?\nAnswer: -3813979137.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -1 - (-1 - (-7 - -1 - -2))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 448 and 28882826?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n - 362 = -17. List the prime factors of n.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u**4\/5 - 4192*u**3\/5 + 2221616*u**2\/5 - 26208384*u\/5 + 78175008\/5 = 0. What is u?\nAnswer: 6, 1042","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is o in 2*o**3\/3 - 230*o**2 - 25392*o + 10512288 = 0?\nAnswer: -207, 276","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = 2*v**3 - 380*v**2 + 206*v - 39034. Give u(190).\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find v such that v**2 + 7*v - 1110 = 0.\nAnswer: -37, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 3, -2, -26, 20 in ascending order.\nAnswer: -26, -2, -1, 3, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -102135 + -134?\nAnswer: -102313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*t + 2*y - 17, -5*t + 64*y - 67*y = 22 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y**(-1\/4)\/y)**39*(y**(1\/4))**(-2))**(1\/25) assuming y is positive.\nAnswer: y**(-197\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = 3*g. Let u(h) = -2*h + 1. Let a = 2622 - 2618. Calculate a*d(b) + 5*u(b).\nAnswer: 2*b + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -12, -9, -1\/2, -8?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -65 + (-405)\/(-1053)*-13?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = -3*p**3 + 12*p**2 + 2*p + 7. Let b(m) = -2*m**3 + 11*m**2 + 3*m + 6. Suppose -2*w = -w + 4. Let n(x) = w*z(x) + 5*b(x). Factor n(a).\nAnswer: (a + 1)*(a + 2)*(2*a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -4.42614 * -1.595.\nAnswer: 7.0596933","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 19 and 209?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -380*u + 42 = -373*u. Let w be u\/(-126)*3*2*-1. Let m = 2 - 1. Which is the third biggest value?  (a) m  (b) w  (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from sssssstsmmststssss. What is prob of picking 2 t?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u\/(u\/(u*u**(10\/3)*u*u)*u*u)*u)\/(u**(-4\/3)\/u)*u**(1\/7)\/u**(3\/10) assuming u is positive.\nAnswer: u**(1577\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.083 - 0.383. What is the closest to v in 2\/5, 3\/7, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -190.6958 rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 863 is divided by 210?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put 10, 3, -199, 0, -2, -77 in increasing order.\nAnswer: -199, -77, -2, 0, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 57521 is divided by 899?\nAnswer: 884","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 760*f**3*g**2 - 4*f**3*g - 29*f**2*g + f*g**2 wrt g.\nAnswer: 1520*f**3 + 2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*g + 3*d + 28 = 5*g, -4 = -d. Let z be (g\/4 - 1) + 10. Calculate the highest common divisor of 44 and z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = v**2 - 23*v - 7394. Calculate g(-74).\nAnswer: -216","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -3594 - -1050. Let a be ((-1626)\/(-5))\/(12\/40). Let i = k + a. Round i to the nearest one hundred.\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 18.515613002 + 4.284387988. Let y = 571 - 548.2. Let r = q - y. Round r to seven decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = 16*c**3 - c**2 + 5*c + 4. Let p be g(-2). Let s = p + 142. Let b(n) = n**3 - 4*n**2 - 5*n. Give b(s).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 236018.\nAnswer: 2, 19, 6211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -16 + 24. Suppose h + h - 116 = 0. Let p = h - 54. Solve 6 = 3*k, -w + l = 4*w + p*k for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 77*x**5 - 155*x**4 + 6005*x**2.\nAnswer: 4620*x**2 - 3720*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Product of -113 and -2742.3.\nAnswer: 309879.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.92 + 7258718164.\nAnswer: 7258718164.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 5*g**2*h**3 + g**2*h - 18918*g*h + 4*h**3 + 327*h**2 wrt h?\nAnswer: 30*g**2*h + 24*h + 654","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -14\/1385 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 42918?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/3 in -2, -1, 1\/6, -24\/11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 7, m: 1, h: 1, e: 10, a: 1}. What is prob of picking 1 h and 1 e?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -243.9 - -260. Let u = 16 - o. Let k = -5 - -3. Put u, k, -0.01 in descending order.\nAnswer: -0.01, u, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2*(((-10764)\/(-24))\/39 - 12*1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 81?  (a) -0.1  (b) -1\/4  (c) -1\/178  (d) 14\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"}
{"text":"Question: What is 0.00041944498 rounded to 5 dps?\nAnswer: 0.00042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 159655.\nAnswer: 5, 37, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 4097  (b) 2  (c) 4  (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = 7*q + 107. What is f(-50)?\nAnswer: -243","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*z + 5*i - 18 = 0, -10*i - 24 = -4*z - 17*i + 2*i for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3565460 - 2883850 = -630*w. Which is smaller: w or 10238?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = 10*h**2 - 16*h - 7. Let n(m) = 19*m**2 - 33*m - 14. Let s(a) = -6*n(a) + 13*u(a). Let p(k) = -11*k**2 + 7*k + 5. Determine -7*p(o) - 5*s(o).\nAnswer: -3*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 459*f - 1685*f + 408*f + 407*f + 406*f.\nAnswer: -5*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-6)\/4 - 206\/(-412).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 144661.0350676078 and -0.1.\nAnswer: 144660.9350676078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 + (27 - (7 + 0 + -4)) + (22 - 27).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 142068, 284101, 426132, 568161, 710188, 852213, 994236?\n\"Answer: -k**2 + 142036*k + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -164 - 9a6?\nAnswer: -105a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -4*101\nAnswer: -404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -187*r + 881470 = -6*r. Calculate the remainder when r is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 = 3*a - 4*a - 4*o, 2*a + 2*o = -16. Let h = a + 28. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 42178 divided by 21089\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = -j + 4. Let x be t(2). Suppose -x*b = 3*a - 5, -5*b - 35 = 3*a - 5*a. What is the second derivative of -14*i + 0*i**a - 13*i**5 - 16*i**5 wrt i?\nAnswer: -580*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2223 by 4.\nAnswer: 2223\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 189730546?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 66023974816 - 12*o**2 - 66023974816.\nAnswer: -12*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2097*a + 59840 = 1162*a for a.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m = 3*t, 3*m + t = -m + 10. Let o be 1 + (-13)\/18 + m\/9. Solve -o - 3\/4*u**2 + 7\/4*u**3 + 5\/4*u**4 - 7\/4*u = 0.\nAnswer: -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = -v + 27. List the prime factors of d(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of v**6 - 658660*v**5 + 77*v**3 - 27*v**2 + 772190*v?\nAnswer: 120*v**3 - 39519600*v**2 + 462","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -1\/394, -1.2, -90, 23 in decreasing order.\nAnswer: 23, -1\/394, -1.2, -2, -90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/(-4)*(-12)\/((-138)\/(-23))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express (-m**2 - 3*m**2 + 2*m**2)*(0*m + 0*m + 2*m - 2) + (m**2 - 6 + 6)*(-6*m + 2*m + 2*m) as p*m**2 + a*m + v + o*m**3 and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:43 PM and 5:33 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is m in 4*m**5 + 12*m**4 - 68*m**3 + 36*m**2 + 64*m - 48 = 0?\nAnswer: -6, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = -3*d**2. Let c(g) = -5*g**2 - 3*g**2 + 7*g**2. Give c(o(y)).\nAnswer: -9*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) be the third derivative of -b**4\/2 + 19*b**3\/6 + 9*b**2. Differentiate d(r) wrt r.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 90 - (37 - -60) - (-52 - (0 - -1)).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 0 + 6 + 31 + 6 + -6 + 5 + 2\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b + 31 = 27. Let u be 4 + 34 - -4*b. Let m = u + 185. What are the prime factors of m?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3781 = -n - n - 223*s, -119*s = -n - 118*s + 22 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*j + 1 - 1)*(13*j**2 + 11 - 11)*(-1 - 2 + 5)*(-10 + 9 - 9).\nAnswer: -520*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 410916 and 88572.\nAnswer: 1452","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 113 + -114 + (1 - (-2)\/(-27)). What is the fourth smallest value in -3, 20, 0.3, n?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -55\/217 - 1\/31. Sort d, -4, -12, -2\/5.\nAnswer: -12, -4, -2\/5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor f**2\/2 - 2689*f\/2 + 230460.\nAnswer: (f - 2505)*(f - 184)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0  (b) 9  (c) 3257  (d) -43\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 2 and 2130?\nAnswer: 2130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -125 (base 7) to base 11\nAnswer: -62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 11600 divided by -1.\nAnswer: -11600","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3498103?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) be the first derivative of y**6\/30 - 4*y**5\/15 + 5*y**4\/6 - 4*y**3\/3 - 8*y**2 + 2*y + 62. Let t(r) be the second derivative of l(r). Factor t(m).\nAnswer: 4*(m - 2)*(m - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (5*6\/(-150))\/(2\/10). Is 14\/611 < o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -30 + 30 - 307*z - 298*z - 288*z + 894*z.\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2582*r - 264 = -2560*r for r.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -40767 (base 14) to base 8\nAnswer: -456767","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = -24*c**3 - 5*c**2 - 6*c - 254. Let x(s) = 20*s**3 + 4*s**2 + 5*s + 255. Determine -4*m(q) - 5*x(q).\nAnswer: -4*q**3 - q - 259","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 141 + -123. What is the highest common factor of u and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 242375 and 525.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 101424233?\nAnswer: 2833, 35801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 630 minutes before 3:32 AM?\nAnswer: 5:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 576, 1510, 2802, 4452, 6460, 8826?\nAnswer: 11550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify p**(2\/35)*p**1*p**17*p\/p**(-1\/23) assuming p is positive.\nAnswer: p**(15376\/805)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*i - 4*p + 20833 + 1521, -3*i + 5*p + 13368 = 0. Calculate the smallest common multiple of 2 and i.\nAnswer: 4466","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 2 divide 350446197?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = 2*t - 4. Let h(z) = 4*z - 8. Let c(j) = -6*h(j) + 13*n(j). Suppose -5 = 3*l - 2*r - 32, 2*l = -4*r + 18. Does 14 divide c(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 34338480?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4065423.\nAnswer: 3, 29, 83, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round 45383.12959 to the nearest integer.\nAnswer: 45383","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 393956?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 113 - 107 = 2*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 3696337 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -223250 divided by 10\nAnswer: -22325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -5320258*g**3 + 9294957 wrt g?\nAnswer: -15960774*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12009*f**4\/5 - 228207*f**3\/5 - 7348824*f**2\/5 + 22032*f\/5 = 0 for f.\nAnswer: -17, 0, 12\/4003, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = r + 4*p, -2 = 2*r + 4*p - 0. Let b = 11 - r. Suppose v - b = 29. Does 8 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k = 2*l - 48, 0*l + 230 = 5*k + 5*l. Calculate the smallest common multiple of k and 40.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f + d + 99 = 0, 0 = 3*f - 5*d - 80 - 7. What is the greatest common divisor of 16 and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + 6*(-3 + (-1*sqrt(76) + sqrt(76))\/sqrt(4) + -4 + (-2*sqrt(475) - sqrt(475))))**2.\nAnswer: 7020*sqrt(19) + 155421","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = -2*j + 4. Let a(g) = -3*g**2 + 16*g + 5. Let y be a(5). What is i(y)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = -w**2 + 18*w + 212. Give j(26).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 202590042 a multiple of 1847?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = 5*j - 10. What is the remainder when g(7) is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 26226101 * -0.5.\nAnswer: -13113050.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -33*z + 5911 + 20522. Calculate the highest common factor of 99 and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 930 divided by 8\nAnswer: 465\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 51043152 (base 6) to base 11\nAnswer: 9020a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*j**4 + 112*j**3 - 13000*j**2 - 187600*j + 11686500 = 0.\nAnswer: -53, -45, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 20 + -1211?\nAnswer: -1131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (68\/51)\/2 + 1963\/3 is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -110, -168, -226, -284, -342, -400?\nAnswer: -458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 41, -248, -537, -826, -1115?\n\"Answer: -289*r + 330","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = -m**3 + m**2 + m. Let a = 0 - -3. Let y(w) = 3*w**3 + w**2 + 2*w. Let k(l) = a*o(l) - y(l). What is k(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (79 - 81 - (-4)\/2)\/((-6)\/(-5 + 2))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 2, r: 11}. Give prob of sequence rc.\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -4388, -4319, -4250, -4181, -4112?\nAnswer: -4043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/10 - 7974\/(-3240) - (-168)\/(-96)?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -6*c**3 + 49*c + 0 - 41*c + 2 + 3*c**3 to the form y*c**3 + k*c**2 + n*c + s and give n.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 139 is divided by 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = -r**3 - 8*r**2 - 20*r - 45. Let i be k(-6). Suppose -2*h + 110 = u + u, -2*h + 130 = -i*u. Calculate the highest common divisor of 59 and h.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 945665*j**5 + 42*j**3 - j**2 + 1566*j - 51288 wrt j.\nAnswer: 18913300*j**3 + 252*j - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-80)\/(-24) - 8\/(-12). Suppose 0 = 5*h, z*a = -3*h + 4394 + 28394. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 748203 divided by -9.\nAnswer: -249401\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 45790, 45653, 45516?\n\"Answer: -137*t + 45927","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.04  (b) -41\/144  (c) 66\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) be the third derivative of -1\/16*d**3 - 1\/160*d**5 - 1\/32*d**4 + 70*d + 2*d**2 + 0. Factor v(o).\nAnswer: -3*(o + 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from {o: 11, w: 2}.\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -240 divided by 80?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-485)\/50 + 10)*5\/9.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 32479\/5 - 6495. Put 2, 0.1, t, 2\/11, 0.08 in ascending order.\nAnswer: 0.08, 0.1, 2\/11, t, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 180368 and 0.3?\nAnswer: 54110.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 34 = 5*o + 2*o + 5*m, -3*m + 14 = o. Let b(g) = 70*g**2 - 2*g - 2. Let h(v) = 71*v**2 - 3*v - 3. Calculate o*h(q) - 3*b(q).\nAnswer: -68*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1646 + 569 + 1350 - 356)*(3*h**3 - 3*h**3 + 2*h**4 + 4*h**4 - 6*h**4 + h**4 + (0*h + 3*h - h)*(h**3 + 3*h**2 - 3*h**2)).\nAnswer: 9627*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(99) + sqrt(11) + sqrt(11))**2 + 3 + (sqrt(99) + sqrt(99)*1 + sqrt(99))\/sqrt(9))*4 + -3.\nAnswer: 12*sqrt(11) + 1109","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 21*p**5\/2 - 129*p**4\/2 + 207*p**3\/2 - 27*p**2\/2.\nAnswer: 3*p**2*(p - 3)**2*(7*p - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1\/2882 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put 47, -10, 2 in ascending order.\nAnswer: -10, 2, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 3 times -3006.1\nAnswer: -9018.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -52 - 5. Let r = t + 111. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -821 = -137*c + 479*c + 3925 + 384 for c.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -3 - -16?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = -31*n + 38. Let b(v) = -18*v + 20. What is 5*b(a) - 3*j(a)?\nAnswer: 3*a - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = x - 6*x + 120. Suppose 5*c = 9 - x. Let g = -2.8 - -6.8. What is the third smallest value in 2, c, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4049 - 7902 = -19*o. Let q = o + -626. Solve 2*s - q*j = 1, 5*s - j = -10 - 7 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.0441 in 0.1, 3\/2, -3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = 2052*u**2 + 31*u + 116. Is w(9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 4\/3*(-6)\/(-4). Suppose g*y - 89 = -19. Let k = 65 - y. List the prime factors of k.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 0.2  (b) -737  (c) -2\/65\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.142 - 7196111783.\nAnswer: -7196111782.858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 3 + -3.1. Suppose -z = 5*w - 2*z + 53, 5*w + 3*z = -41. Let h be (0 - 1)*(10 + w). Sort h, p, 0.7 in decreasing order.\nAnswer: 0.7, h, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1105 or -1093?\nAnswer: -1093","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = -n + 6*n + i, 5*i + 9 = -2*n. Let t(h) = 2*h**2 + 3*h**2 + 8*h - h**3 - h**3. Let c(o) = o**3 - 2*o**2 - 3*o. Calculate n*t(k) + 8*c(k).\nAnswer: 2*k**3 - k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5113 divided by 5.\nAnswer: -5113\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -41 * 0.18\nAnswer: -7.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 48 and 240.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 11145.2 - 12490. What is g rounded to the nearest ten?\nAnswer: -1340","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.72379137 take away 41?\nAnswer: -43.72379137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -2848, -2838, -2814, -2770, -2700, -2598, -2458, -2274?\n\"Answer: l**3 + l**2 - 2850","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (23\/(-3680)*-40)\/(10\/(-8))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = -n**3 + 28*n**2 - 10*n + 299. What is g(28)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -482*s - 150 + 919*s - 437*s - 31*s**2 to t*s**2 + q + h*s and give t.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -10*g**2 + g**2 + 0*g**2 + 0*g**2 + 3*g**2 - g**2 + (4 - 1 - 2)*(2*g**2 + 5*g - 5*g) - g**2 + g**2 + g**2 to h + k*g + t*g**2 and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/5 in 0, 3, -5\/6, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -445 + 448. Suppose 3*l + 1824 = p*i - 0*l, -5*l = 5*i - 3000. What are the prime factors of i?\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = 165*i. Let u(b) = 4*b. What is h(u(y))?\nAnswer: 660*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 11331 + 10729403.\nAnswer: 10740734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 1 + 1 + -3 + 3. Suppose -t + 204 = -o, j*t + o - 138 = 273. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -57\/5990 and 27\/1198?\nAnswer: 5990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r - 10 = -3*h - 2*r, -h + 20 = -4*r. Let d(p) be the first derivative of -2 - 1\/3*p**3 + h*p + 0*p**2. Let v(z) = 3*z. Calculate d(v(i)).\nAnswer: -9*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*h - 4*z + 32 = 8, 611*h - 612*h + z - 3 = -0*z for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:52 PM and 8:09 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-13 - (-17 - -13)) + 0?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (1 + 4 + -4)*23. Let n(j) = -8319*j**2 + 36*j - 77. Let m be n(r). What is m rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -23 - -28. Suppose -4*z = -j*z. Suppose z*p = -3*p, l - 4*p - 38 = 0. Is l a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.580870169 rounded to three decimal places?\nAnswer: -0.581","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -5.04 - -5. Let v = 0.03999961 + i. What is v rounded to seven decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -5 - 63*c**5 + 0*c**2 - 3*c**2 + 120*c**5 + 2*c**3 - 59*c**5 wrt c.\nAnswer: -120*c**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1541 (base 11) to base 15\nAnswer: -8c1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 20 + 2344?\nAnswer: 2364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*u + 13 = -v, 252*u + 2*v - 13 = 249*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 0.0548321mg?\nAnswer: 54.8321","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30 + 95 = -5*m. Let l(a) be the second derivative of 2*a**4\/3 - 4*a**3\/3 + a**2 - 6*a. Let o(u) = 17*u**2 - 17*u + 4. Determine m*l(i) + 6*o(i).\nAnswer: -2*i**2 + 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n + 4*b = -45, 2*b + 0*b = -n - 5. Suppose 115 = 4*q - 8*r + 3*r, 2*r - 152 = -n*q. Is 10 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1 - (-6 - -8)) + 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = 2*c. Let n be k(2). Let a be -2 - -2 - (-196)\/4. Let b = a - 45. What is the greatest common factor of b and n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) be the second derivative of 1\/10*d**5 - 1\/60*d**6 + 0*d**2 + 0 - 8*d + 1\/8*d**4 - 3\/2*d**3. Find c, given that v(c) = 0.\nAnswer: -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i\/(i\/(i*i\/(i**9\/i))))**(-3\/4)*(i\/(i**(-5\/3)*i*i*i)*i)**(-50))**(-2\/121) assuming i is positive.\nAnswer: i**(173\/363)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = -5251*p**2 + 136537*p - 230. Calculate f(26).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h + 5*f - 2 = 0, 15 = h - 4*f + 13. Solve -6 - 6 = -3*g + 3*a, -h*g - 20 = 5*a for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 1074*f**3 + 3*f**4 + 410*f - 2*f**4 + 8334 - 199*f - 8329 + 378*f wrt f.\nAnswer: 12*f**2 + 6444*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-1453)\/(-15) + (-20)\/(-150). Let d = -97 + p. Suppose -y + d*t = 2*t - 62, 2*t = -2*y + 130. Does 6 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) be the second derivative of 0 + 3*h + 1\/6*h**4 + 0*h**3 + 0*h**2. Give v(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0.1  (b) -1  (c) -822553  (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from naanyasynaayayyniy. What is prob of sequence sia?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 26 divide 95654?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 2\/21  (b) 1\/18  (c) 0.08  (d) 4\/5  (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 0 + 1 - 1 - (13 - 12208\/28). Suppose 0 = 2*b + 3*b - 235. What is the greatest common divisor of v and b?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.19 times 0.12?\nAnswer: 0.0228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 246?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z + 2*z = 42. Suppose 0 = -0*h - 4*h + 40. What is the smallest common multiple of h and z?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-4)\/(-30))\/(6\/9). Let j be -2 - (-8 - (-2 - 0)). Which is the second biggest value?  (a) 1  (b) y  (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0.20434782 and -0.2.\nAnswer: 0.00434782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jnz when three letters picked without replacement from nzjnn?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 8629594 to the nearest integer?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 583 - 385. Suppose -3*j + 88 = j. Calculate the greatest common divisor of k and j.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) be the first derivative of r**8\/840 + r**4\/12 + 2*r**3\/3 + 1. Let o(i) be the third derivative of t(i). What is the first derivative of o(d) wrt d?\nAnswer: 8*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*l**4 + 2*l**3 + 7241*l**2 + 246492*l.\nAnswer: -24*l**2 + 12*l + 14482","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 2 * -130879136\nAnswer: -261758272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from aavaaavvavaav. What is prob of sequence vvaa?\nAnswer: 28\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = 2*f**3 + 2*f**2 + 5*f - 6. Let y be x(1). Suppose -2*p + 32 = -3*a + y, -5*p + 45 = -2*a. What is the highest common factor of p and 133?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = -4*j + 244. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 4700 and 1880.\nAnswer: 9400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -3013*m*o**3*w - 1709*m*o**3*x**2 + 2*m*o**2*x - 13*m*o*x**2 + 1442*m*w*x**2 - 4*m*x**2 - 24*m*x wrt w.\nAnswer: -3013*m*o**3 + 1442*m*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -29 - -19. Let m = 8410\/11 - 764. Let j = -815 - -813. Put j, m, u in decreasing order.\nAnswer: m, j, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/23?  (a) 1\/3  (b) 0.4  (c) -5  (d) 1\/59\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -4, 0.4, -2, -3\/2, 276?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = s**3 - 22*s**2 - 25*s - 4. Let o be w(23). Is o > -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = 3*b - b + 4*m, -4*b + 24 = -2*m. Let y(d) = 5*d - 8. Let x(r) = 5*r - 8. Let u(p) = b*x(p) - 6*y(p). Differentiate u(c) wrt c.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -1.4 and 67998?\nAnswer: -95197.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z = 3 + 5. Let p be (-108)\/(-32) + (-10)\/(-16). Suppose 0 = -z*v + d + 3*d + 24, v = p*d + 16. Solve -2*g - v = 2*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:17 AM and 5:12 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 118 - 69. Let t = 47 - s. What is the tens digit of 30\/42*151 + t\/(-14)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c = -5*a - c + 14, 5*a = -2*c + 8. Suppose 0*i - a*i + 14 = 0. Suppose 0 = -14*x + i*x + 602. What are the prime factors of x?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) be the second derivative of o**4\/4 + o**3\/6 + o**2 - 3267*o + 1. Let k = -2 + 0. Determine f(k).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = n**3 + 6*n**2 - 8*n - 3. Let l be b(-7). Suppose l*t - 4*m - 436 = 0, -8*m = t - 4*m - 84. Calculate the remainder when t is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = y**3 + 8*y**2 + 2. Let b be a(-8). Suppose 0 = 4*v - 2*f - 2 - 0, 0 = b*v - 3*f + 5. What are the prime factors of v - (-16 - 0) - -3?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -d = 7*w - 29, 5*d = -41*w + 46*w - 15 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -2042370 divided by -5\nAnswer: 408474","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2596*j + 2599*j + 203*g = 204*g + 12, 0 = -2*j + 3*g + 8 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 653676780 a multiple of 1569?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 252997, 253006, 253013, 253012, 252997, 252962?\n\"Answer: -x**3 + 5*x**2 + x + 252992","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 5\/8 of a tonne?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20*u + 93 = 33 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.49905 and 1.\nAnswer: -0.49905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = -20*n + 64. Let u be g(3). Suppose 0 = -u*r + 5 + 3. Suppose -5*b - z + 16 = 0, b = 2*z - 4 + 16. Solve -b = -r*p + 6 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 9 and 16278.\nAnswer: 48834","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = 101*w - 26999. Determine j(267).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 692*u**3 + 405*u**3 + 51*u**3 - 398*u**3 + 627*u**3.\nAnswer: 1377*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x - i = 15 - 5, -5*i = 2*x - 15. Let z = 4 - -1. Sort 4, z, x in increasing order.\nAnswer: x, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = 2303*b + 14359. Calculate n(-6).\nAnswer: 541","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -526 + 686. Suppose 0 = -158*s + a*s - 50. Calculate the remainder when 96 is divided by s.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pbp when three letters picked without replacement from {p: 1, b: 7}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3656?\nAnswer: 2, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = 3*h**2 - h + 3. Let o = -1145 + 1644. Let s = -5 + 8. Let c(x) = 2 + s*x + 501*x**2 - o*x**2 - 4*x. Calculate -5*c(b) + 4*i(b).\nAnswer: 2*b**2 + b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 + -1 - (28 - 26).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -81764 = -78*z - 75446 for z.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7 divided by 3875.\nAnswer: 7\/3875","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -25\/22 and 65\/18?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert 925.0674 millennia to years.\nAnswer: 925067.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -5435 + 157634\/29. What is the common denominator of -93\/4 and a?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -6\/109  (b) -0.2  (c) -1  (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 18 divided by -516467?\nAnswer: -18\/516467","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence uy when two letters picked without replacement from uyyuyyyyyyygyyyguyyy.\nAnswer: 9\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1264560 divided by 63228.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/6 of a hour in seconds?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Determine m, given that 5*m**5 + 48*m**4 - 33*m**3 - 136*m**2 - 60*m = 0.\nAnswer: -10, -1, -3\/5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = 5*m + 521. Calculate c(-109).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 21701483 smaller than 0.01?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -12988956\/13 or -999149?\nAnswer: -999149","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -2909.311 rounded to the nearest 100?\nAnswer: -2900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round 425154 to the nearest 1000.\nAnswer: 425000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in fifteen quarters of a millennium?\nAnswer: 45000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence eee when three letters picked without replacement from eeeeeeeeee.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -211.5 - -212. Let w = -4 + 1. What is the biggest value in -2, y, w?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -7628.99 and 0.06.\nAnswer: -457.7394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1192 is divided by 112?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = 6761*j + 47569. Give k(-7).\nAnswer: 242","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-2)\/((0 - 1)*-1). Let y = -2 + k. Suppose -5*b - 8 = -b. Put b, y, -1 in ascending order.\nAnswer: y, b, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 96*g**2*z + 1187*g**2 - 4*z wrt z.\nAnswer: 96*g**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x + 24 = -5*p, -4*x - 3*p + 0*p - 4 = 0. Suppose x*z + z - 1605 = 0. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 5492637 and 171.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = 20826*g**2 - 356*g. Let a(b) = -175*b**2 + 3*b. Calculate -356*a(n) - 3*o(n).\nAnswer: -178*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -1\/3, 1, -1 in descending order.\nAnswer: 5, 1, -1\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (3 - 152\/56)*-2. What is the second smallest value in 0, o, 0.13, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 58.256+15038.92\nAnswer: 15097.176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -267 or -70334?\nAnswer: -267","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -28644, -28662, -28706, -28788, -28920?\nAnswer: -29114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*f + 10 = -4*x - f, -f = -2 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 28 + -12. Suppose -r + 41 = 5*u. Let d = 0 + u. Solve -12 = -5*b - 2*i + 13, -d*b = 4*i - 25 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -23\/403 and 52\/600253.\nAnswer: 7803289","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) 1  (b) -2  (c) -4  (d) 0.9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -92*t + 227 - 666*t**3 + 158*t**3 + 94*t + 160 wrt t.\nAnswer: -1524*t**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = 3*l + 2*j + 2, 0 = -l + 4*j - 11. Which is the smallest value?  (a) -0.2  (b) l  (c) 0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 31339073?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -18.2, 1.26, -10, 0.5?\nAnswer: 1.26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = 503*u**2 + 64*u + 281. Is b(-48) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = -10963*y - 581051. Give o(-53).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 0 - 15110314?\nAnswer: -15110314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -1\/7, 3\/19, -0.1, 86, 3.\nAnswer: -1\/7, -0.1, 3\/19, 3, 5, 86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 8*b**3 + b**4 - 12*b**3 + 2 - b + 2*b**3 to the form n*b**4 + f + i*b**3 + l*b**2 + g*b and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*(5 + -6*(0 + sqrt(108)) + -5)*-4*-4)**2.\nAnswer: 24883200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -0.7*4\nAnswer: -2.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + (1 + 4 + sqrt(3)*3 + 4)**2.\nAnswer: 54*sqrt(3) + 111","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 33*p**3 + 36 - 18 + 1483*p**2 - 1483*p**2 - 18.\nAnswer: 33*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 27871752?\nAnswer: 2, 3, 47, 24709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 3.067 - 0.067. Which is the biggest value?  (a) x  (b) -0.5  (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -118 times 0.1\nAnswer: -11.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 153583381 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = 2*d**2 + 10*d + 2. Let h be n(-5). Let g = 1695\/2 + -887. What is the common denominator of g and (h\/9)\/(112\/(-5250))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.4 + 0.6. What is the third smallest value in y, 0.4, -2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1.3?  (a) -0.652  (b) 3\/34  (c) -0.2  (d) 0  (e) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 315859\/44490 + 2\/4449. Find the common denominator of 79\/8 and n.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15 a factor of 416?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 255 + -115. Let n = -139.29 + v. Let a = n + -0.7100005. Round a to six decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = -n + 3. Let t be 1*-6*(-22)\/44. What is r(t)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 30032055797 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express -15*f + 9*f + 12*f as z*f + q and give z.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 109, 5\/3, 2223\/11, -7, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 - 3\/(6\/(-1762)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o*o*o*(o*o**(1\/2)*o)\/o*o*o*o*o)**(-28)\/((o*o**(2\/3))\/o)**(-18\/11) assuming o is positive.\nAnswer: o**(-2606\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.4 + -0.5. Let m be 15\/3 - 6\/3. Let d = 207.92 + -205.92. Put j, m, 6\/7, d in increasing order.\nAnswer: j, 6\/7, d, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*v - 5*o + 45, -4*v + 3*o = -v - 27. What is the remainder when 33 is divided by v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 w and 1 q when three letters picked without replacement from wqwsqkv?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-2)\/8 + 42\/8. Suppose 39*w + 8 = 41*w. Let t(o) = 0*o + w + o - 1 + 3. Calculate t(r).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -36 + (-11 + -22 - -45).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is (-76880)\/(-12) + (-4)\/(-12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 151 + -13367654?\nAnswer: -13367503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 105 = o + 3*s, 0 = -4*o - 0*s - s + 387. Suppose 3*f - 2*k = 5*f - o, 0 = -4*f - 5*k + 196. What is the lowest common multiple of f and 20?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-297)\/(-3267)*2*-4.\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f = -16, -347*j + 344*j - 4*f = -2326. Solve 933 = 21*k + j for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = 3*u**3 + 4*u - 4. Let v(t) = 3*t**3 + 3*t - 3. Calculate 3*s(j) - 4*v(j).\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 70 - 70.3. What is the second biggest value in 1\/6, 9, -5, n?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yyw when three letters picked without replacement from {g: 2, y: 7, w: 2, x: 7}.\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve j = i - 0*j - 1, 5*j + 5 = i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 30 - (-409 + 500 + -10 + 1)?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}