diff --git "a/data/dm_maths/full_data_1/2085_11255.jsonl" "b/data/dm_maths/full_data_1/2085_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/2085_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Simplify ((i**(-1\/4)*i)**(-1)\/((i*i**(1\/7))\/(i*i**(1\/2)\/i)))\/((i**(-2\/5)\/(i\/((i*(i\/i**2)\/i)\/i)))\/(i**(-2\/3)*i)**(8\/7)) assuming i is positive.\nAnswer: i**(1003\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 4*i - 11 = 3*h, 2*i - 10 = 4*h. Let v be (1 + i - 0)\/(-1). Solve v*x + 4*x = -20 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 14*v**2. Let w be c(1). Suppose -114*k + 1224 = -372. Is k greater than or equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 12\/14 + (-2552)\/2618 - 0\/(-8). Which is the closest to 1\/7? (a) 5 (b) -0.4 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - a - 18 = -3*a, 4 = -2*m - 4*a. Which is greater: m or -11?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/1380 and -87\/230?\nAnswer: 1380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/988 and -61\/2392.\nAnswer: 45448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 + 5*l**2 + 3*l + 5. Let v be y(-4). Let w = v + -6. Suppose k + 6991 = w*d, 5*k + 4*d + 35009 = d. Round k to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z - 11227228 + 11227228 + 2*z.\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2261 a factor of 54609933?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.031188 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -2\/394353?\nAnswer: -2\/394353","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 12923834?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4437 divided by -567.\nAnswer: 493\/63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 + -5. Suppose 4*c - 92 = -m*c. Calculate the highest common factor of 253 and c.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 5*x**2 - 41*x + 38. Calculate i(7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/4 - (-238)\/588. Let i = -92 + 89. Sort i, s, 2\/7, -0.1 in ascending order.\nAnswer: i, -0.1, s, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -297*t**3 + 116 - 3*t**2 - t + 295*t**3 + 3*t**2 in the form b*t**2 + n*t + x + h*t**3 and give x.\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 252 and 572063940.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least as big as 63\/33275713?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*j + 6 = 19*j. Let m be j*(35\/(-15) - -2). Solve -x - 10 = -m*x + 5*w, 0 = -5*x - 3*w - 34 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 4*m - 62. Let k be b(16). Solve w + 1 = k*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -784, -1576, -2376, -3184, -4000, -4824?\n\"Answer: -4*n**2 - 780*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12727849\/3 <= 4242617?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 5*k = -4*a + 12, a = 2*k + 1. Let w be 165\/(-25) + 56\/8. Let v = w + 0. What is the second smallest value in a, -5, -1, v?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 3*w. Suppose 0 = -3*o + y - 2 + 16, 2*y = 3*o - 10. Let v(q) = q + 3*q - q. Determine o*v(l) - 7*z(l).\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**2 + 5*c - 54. What is the units digit of z(12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*q + 96*q - 316 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18 + 85. Calculate the remainder when j is divided by (-1 - -17) + -5*(-6)\/(-15).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/2 + (8 - (-561)\/(-88))\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*o - 2*o = 10, 0 = -5*x + 5*o + 50 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 105 = h. Let y = h + 37. Solve 4*c + 1 + 3 = -3*b, 0 = 5*c - y*b - 18 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 15*a. Let p(r) = -24*r + 5. Let k(u) = 24*u - 4. Let c(v) = 5*k(v) + 4*p(v). What is l(c(w))?\nAnswer: 360*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (32\/50)\/((-208)\/260)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the first derivative of 3*n**2\/2 - n + 61. Let l(o) = 8*o - 1. Let u(z) = 4*l(z) - 10*x(z). Suppose -28 = 4*s - 0*s. Give u(s).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/(-6))\/((-1)\/12). Suppose -m = 5*w - 48. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-18)\/(-10))\/(1\/5). Let s be y*(1\/3 - 0). Differentiate g**3 - s + 2*g**3 + 4 wrt g.\nAnswer: 9*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8150269 minutes in nanoseconds?\nAnswer: 48901614000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * 0.035.\nAnswer: 0.0105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-8))\/((-76)\/1976)*(-2)\/1?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -106 + 92. Which is greater: -64\/5 or t?\nAnswer: -64\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16227*m**3 + 12256*m**2 wrt m?\nAnswer: 97362","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 9}. What is prob of picking 3 m?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*t + 0*t - t)*(5 - 5 + 4) - t + 5 - 5 + (2*t + 3*t - 3*t)*(6 - 4 + 0))*(-14*t**4 - 88*t**3 + 88*t**3).\nAnswer: -98*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 705*l + 44*l**2 + 1415*l - 694*l + 0.\nAnswer: 44*l**2 + 16*l - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 4, q: 7}. Give prob of sequence qzq.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 0.6. Let y be 150\/(-35) + 6\/21 - 29. Let t be (-5)\/y + (-5)\/15. What is the smallest value in -2, n, t?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 - 74 = -2*j. Let n be (-4)\/6 - ((-663)\/9 - 5). Calculate the greatest common divisor of n and j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -469*g + 1732*g - 4719 = 3563 + 1822 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4593.29 rounded to the nearest ten?\nAnswer: 4590","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, -2, -1489 in decreasing order.\nAnswer: 5, -2, -3, -1489","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8983 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*q - 3*q + 2*q + (q - q - 2*q)*(-6 + 1 + 3 + (0 + 2 - 3)*(-3 + 5 - 3)))*(q**2 + q**2 + 5*q**2).\nAnswer: 42*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 e when two letters picked without replacement from dttea.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*o - 174*o - 2640 = -24*o for o.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve g = 2*n - 0 + 2, 3*n - 5*g = -3 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the second derivative of -24*d**7\/7 + 22*d**6\/5 + 107*d**5\/5 - 167*d**4\/3 + 146*d**3\/3 - 20*d**2 - 14*d - 2. Find l such that n(l) = 0.\nAnswer: -2, 1\/3, 1, 5\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 11, -1 in ascending order.\nAnswer: -4, -1, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34 is divided by (350\/(-40) + 4)\/(1\/(-4)).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1163149 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: Is 1419492913 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/2*6 + 5. Factor -3*g**5 - 3*g**4 + g**4 + 2*g**r + g + 2*g**5.\nAnswer: -g*(g - 1)*(g + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3\/3 - 65*r**2\/3 + 188*r\/3 - 124\/3.\nAnswer: (r - 62)*(r - 2)*(r - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 46 - 61 - 6017*y**3 + 6014*y**3 - 9*y**2 + 27*y.\nAnswer: -3*(y - 1)**2*(y + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, i: 1, c: 1, b: 1, o: 1, k: 2}. Give prob of picking 1 k, 1 o, 1 s, and 1 i.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 30*v**2 - 2 - 28*v**2 - 3*v**3 + v**3 to the form m + p*v**3 + u*v + j*v**2 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 354.6 - 329.6. Which is smaller: k or 181?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -27 and -414134456.\nAnswer: -414134483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(7\/3)\/z*z)\/(z**(1\/12)\/z*z))**(1\/55) assuming z is positive.\nAnswer: z**(9\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -12, 0.4 in decreasing order.\nAnswer: 0.4, -9, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1810 to the power of 1\/2, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16838625 is divided by 400919.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the third derivative of 1075*i**9\/252 - 527*i**5\/60 + i**2 - 25. Find the third derivative of a(f) wrt f.\nAnswer: 258000*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 - 5. Suppose 5*u + k*u = 15. Suppose w = -u*w + 260. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 + d3197d9?\nAnswer: d319800","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(81) - -1*sqrt(81)))\/sqrt(3))\/(-1*sqrt(81)\/(sqrt(9)*1)).\nAnswer: -12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z + 2*z + 0*z + (7*z - z + 0*z)*(3 - 1 - 1).\nAnswer: 7*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*w - 2410 = -870 for w.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 171 + ((-8)\/(-10))\/(4\/(-20))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i. Suppose 2 = 5*b + g - 6, 10 = -5*g. Give q(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -51*h - 38. Give v(-8).\nAnswer: 370","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 88319136 and -1.886038?\nAnswer: 88319137.886038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*n - 22*n = -2121. Let m = 316 + n. Suppose -c - 3*w + 4*w + 41 = 0, -2*w = 8. What is the remainder when c is divided by m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 80 and 8723920?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -245643.8709 rounded to the nearest ten?\nAnswer: -245640","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3624\/(-1510)*(-20)\/(-176)?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10601 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3845434, 7690890, 11536346?\nAnswer: 15381802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -27*g - 117. What is q(-2)?\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/31 greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23 + 52*l - 12*l**3 + 58*l - 111*l to c*l**2 + f + i*l + u*l**3 and give f.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, g: 2, j: 2, s: 2, h: 1, z: 7}. What is prob of sequence ghg?\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -7*i**3 + 2*i**2 - 2*i + 2. Let d(v) = 890*v + 3562. Let l be d(-4). Let s(y) = 36*y**3 - 11*y**2 + 11*y - 10. Calculate l*s(r) + 11*a(r).\nAnswer: -5*r**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*d - 6 = -4*o - 13*d, -45 = -5*o - 5*d. Solve -15*q + o - 19 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.69 plus -4705447089?\nAnswer: -4705447078.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*l**4 - 165*l**3 + 693*l**2 - 879*l + 354 = 0. Calculate l.\nAnswer: -59, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -11\/9, 624\/43, 1\/2, -0.5?\nAnswer: 624\/43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -66915.574 rounded to the nearest 10?\nAnswer: -66920","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) -3 (c) 15 (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4858667 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/26*2*1. Let a = -31 + 29. Sort 0.5, a, t.\nAnswer: a, t, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 3*k**2 + 163*k - 16. Calculate f(-54).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the second derivative of 253*s**4\/12 - 41*s**3\/6 + s**2\/2 - 308*s. What is the second derivative of m(c) wrt c?\nAnswer: 506","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5560048*b**3*k**2 + b**2*k - 3*b*k**2 - 52517*k**2 wrt b?\nAnswer: -33360288*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffyffwwgwwfnyngnn. Give prob of sequence fgw.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2105 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, b: 2, i: 8, o: 4, g: 4, h: 1}. Give prob of sequence oao.\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.89 - -0.11. Let t = f - 4.9. What is the third smallest value in t, -0.4, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 3*u - 3. Let n be d(2). Suppose n*q - 3*k = 6, 3*k + 0*k = 2*q - 2. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79.5739l in millilitres?\nAnswer: 79573.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -3*d**2 - 134*d + 1723. Determine x(-55).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 11 = 2*x, -3*x - 2*d - 89 = -103 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7077 + 57945?\nAnswer: 50868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -54b066 - -1?\nAnswer: -54b065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -12*l + 102. Let a(h) = h + 12. What is the lowest common multiple of l and a(-6)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -71 - -77 - ((0 - -16) + 3\/(-1))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10100000 - 0?\nAnswer: 10100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/36 and -7\/72372?\nAnswer: 217116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 1, 0.9355, 0.5, 3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 32331270 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 28 - 25. Suppose 51*m = 59*m. Sort -4, m, d in increasing order.\nAnswer: -4, m, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-148)\/(-16) + 1\/(-4). Let p be (-4)\/(-4) + 4*1. Suppose 0 = 2*b - w - 165 + 41, -3*b = p*w - 199. Calculate the greatest common factor of r and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -4357, 2724 in increasing order.\nAnswer: -4357, 4, 2724","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 49, -148, -345, -542, -739, -936?\n\"Answer: -197*v + 246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -5545, -11173, -16865, -22609, -28393, -34205?\n\"Answer: 2*h**3 - 44*h**2 - 5510*h + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - (-22 + 28)) + -2 + 4\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 784\/17 - 6\/51?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 2 j when four letters picked without replacement from {t: 6, y: 1, j: 3, g: 3}.\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 4*j + 45 = 9*j + 43, 4*k = 4*j for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 38\/2605 and -31\/1223320.\nAnswer: 637349720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1152191 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 26087382 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 + 1 + 9 + 0 + -5 - 6.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2 - 2996616*w + 80910090.\nAnswer: -2*(w - 27)*(w + 1498335)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**0)**(2\/23)\/(o**7\/o*o*o**(-8)))\/((o\/o**8*o)\/(o**(-14)*o))**(-17) assuming o is positive.\nAnswer: o**120","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**3 + 1559790*w**2 + 4679361*w.\nAnswer: w*(w + 3)*(w + 1559787)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -7137, -2, 6, -1, 1 in ascending order.\nAnswer: -7137, -2, -1, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-2) + 2448\/(-160) + 15.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1385910 rounded to the nearest ten thousand?\nAnswer: 1390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19*u**2 - 28*u - 33*u + 38 + 94*u + 151*u**2 - 31*u wrt u?\nAnswer: 340","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10679426?\nAnswer: 2, 149, 35837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1808 + -950. Let b = j - 101. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -347 + 598. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*p = -99*p + 3*p - 720 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**3\/7 - 6*w**2 - 17*w - 78\/7.\nAnswer: -(w + 1)*(w + 2)*(w + 39)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 10 = -2*y. Let d be -1*(-4)\/(-4)*y. Find x such that -3*x**3 - x**4 + 5*x**2 - 2*x**3 + x**5 - 2*x + d*x**3 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7792 divided by 618\nAnswer: 3896\/309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 772517 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.2 - 1. Let y(u) = u + 2. Let b be y(0). Is z equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -g + 6. Suppose 3*y + 0*y = 5*u - 48, -u = g*y - 6. List the prime factors of u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/((-2)\/(-2) + 1). Suppose 3*f - z - 13 = 5, 35 = 4*f - 5*z. Suppose -l + 249 = f*c, 7*c = r*c + l + 201. List the prime factors of c.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1567 = k + h - 1570, -1 = -k - 2*h for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(288)*-1 - (2*(0 + sqrt(288) - sqrt(288)) + sqrt(288)))**2 + 1.\nAnswer: -240*sqrt(2) + 1178","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 - 5 + 8)*(0 + 3 - 2)*(112 + 13*r - 112)*((-4 + 4 + r**2)*(0 - r**2 + 0) - 2*r**4 + 2*r**4 + 2*r**4).\nAnswer: -130*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**2 - 13*n - 19. Let q be d(-11). Determine a so that 48*a + 24*a**4 + 30*a + 10742*a**3 + 212*a**2 + 22*a + 92*a + 64 + 2*a**5 - 10636*a**q = 0.\nAnswer: -4, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1000000111010001 (base 2) to base 4\nAnswer: 20013101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i. Suppose -2*q = -4*q + 14. Let g(t) = -t + 17. Let w be g(q). Let r(k) = w*k - 7*k + 13*k. What is r(v(m))?\nAnswer: 16*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 454 + 310. Suppose 169 = 6*f - o. What is the greatest common factor of f and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*b - 3*b - 6*b + (-3 + 3 - 2)*(3*b - 3*b + 2*b) + 4*b + b - 2*b - 19 - 9*b + 12 + 8 in the form z + l*b and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*z - 12*z - 1868. Suppose 2*c - 278 = 4*g, -5*c - 4*g + z = -2*c. List the prime factors of c.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 250060.\nAnswer: 2, 5, 12503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.03, -85, -1\/4, -14, 6?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 30, 80, 158, 264, 398, 560?\n\"Answer: 14*j**2 + 8*j + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 - 62*a**2 + 174*a - 3172. Calculate l(60).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -33, 10745, 1, -3 in decreasing order.\nAnswer: 10745, 1, -3, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three halves of a century in years?\nAnswer: 2150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 58 + 186 = 0. What is the remainder when z is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -7, 298, 799, 1496, 2389?\n\"Answer: 98*u**2 + 11*u - 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1367 + 1603. Let n = k - 233. Factor -4\/7*i**2 - 2\/7*i**n + 0 - 2\/7*i.\nAnswer: -2*i*(i + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r\/r**(-1\/3)*r*r)\/r)**(1\/13)\/(r**1)**(-15\/7) assuming r is positive.\nAnswer: r**(655\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 49494215?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of 5*v**4\/4 - v**3 + 6. What is the third derivative of w(d) wrt d?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(325)*1*-3)**2.\nAnswer: -5850","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5)\/30*-9*6. Suppose -3*b - 4*h + 0 - f = 0, 4*h = -12. Which is bigger: -1\/16 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k**3\/5 - 4*k**2\/5 + 4*k\/5 + 4\/5 = 0. Calculate k.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/66*-11*(-3)\/6\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that a**2\/5 + 73674*a\/5 = 0.\nAnswer: -73674, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-88)\/(-220))\/(2\/60).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -12, 23*k - 1067 = -4*m + 20*k. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 2 = 4*m, 0 = 585*c - 581*c + 22*m + 30 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -63.4 + 63.7. Sort -0.1, -0.04, h.\nAnswer: -0.1, -0.04, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and -47.\nAnswer: 4.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27 (base 9) to base 11.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4856533 or 4856529?\nAnswer: 4856533","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(48))*-2 + 5.\nAnswer: -8*sqrt(3) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/3, -5.1, -6\/7, 0.4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -43.9 + 46. Let n = 3 - p. Let j = n + -2.9. Sort -1\/3, j, -1\/5 in increasing order.\nAnswer: j, -1\/3, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-16)\/128*4)\/(2\/2488). Are -622 and b nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*q = 18*q + 1864 - 120 + 416 for q.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**2 - 5282190*u + 1395076559805.\nAnswer: 5*(u - 528219)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 28 = -5*z. Let d = z - -21. What are the prime factors of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1092?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -92*l**2\/3 - 30893*l\/3 + 31169.\nAnswer: -(l - 3)*(92*l + 31169)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 6, y: 4, l: 9}. Give prob of sequence yty.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 + 17*d - 21*d + 6*d**2 + 0*d**3 - 1 - 2. Calculate the remainder when 49 is divided by j(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001005689 rounded to 5 decimal places?\nAnswer: 0.00101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1524*s = 1636*s - 3136 for s.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1 + sqrt(112))*-3 - -1*-2*sqrt(448))*-4)**2*4.\nAnswer: -10752*sqrt(7) + 351808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -4063, -16255, -36573, -65023, -101611, -146343, -199225, -260263?\n\"Answer: -a**3 - 4057*a**2 - 14*a + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**2 + 1646*j - 36521. Calculate c(22).\nAnswer: 175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w\/w**(-2)))\/(w**(-5\/2)*w)*w**(4\/3)\/(w\/(w\/(w\/w**(2\/3)))))**(-21\/4) assuming w is positive.\nAnswer: w**(-21\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*g**2 + 217*g*u**2 - 2*u**2 + 152 with respect to g.\nAnswer: 6*g + 217*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, a: 3, p: 5, w: 1, k: 1, c: 5}. What is prob of sequence wc?\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-5) - (-374)\/55\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 + 16. Suppose -2*m = 2*a - 4, -2*m - 5 = -2*a - 1. Suppose 5*s = -a*k + 14, k + 5*s - 5 = 7. Solve -k*h = -x*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6036?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 6*k + 13558. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17229 by 3.\nAnswer: -5743","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.4148665 litres?\nAnswer: 414.8665","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 90076907?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/30 - (-294)\/60. Suppose -w = -p, 0*z = -z - 4*w + 20. Solve z = 12*d - 16*d + 12 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 2*h**4\/17 + 154*h**3\/17 - 1718*h**2\/17 - 14770*h\/17 - 12900\/17 = 0.\nAnswer: -86, -5, -1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oggogoooggoogg. What is prob of picking 3 o?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/(-6))\/(2\/246). Let i = l + 67. What is the remainder when 76 is divided by i?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -12432, -49711, -111854, -198861?\n\"Answer: -12432*h**2 + 17*h - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(28) + sqrt(448))*-4*-6)\/((sqrt(4) - (4*sqrt(12))\/sqrt(3) - sqrt(4))*6).\nAnswer: -5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.13414 times 0.04\nAnswer: -0.0053656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -5*x - 86. Let h(o) = -25*o - 47. Is h(x) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 202730376 to the power of 1\/2, to the nearest integer?\nAnswer: 14238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 2*r - 30 = 0, -73*k + 36*r - 39*r - 5 = 72*k - 143*k for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95 = -4*h + h + 5*y, 66 = 2*h - 4*y. Let o = -6 - -7. Suppose -4*f - o = 5*k - 6, 11 = 4*f + 3*k. What is the highest common divisor of h and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1001 divided by 143\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50969526.\nAnswer: 2, 3, 47, 61, 2963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 307339715?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -529952 + -0.32.\nAnswer: -529952.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/7 + 208\/91. Let s(v) = 3*v**d + 5*v + 165 - 158 - 2*v**2. Is s(6) a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35390857 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (-4 - -3 - 6)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 868036309?\nAnswer: 7, 124005187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10655 (base 13) to base 8.\nAnswer: 71715","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*m + m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - -6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 5*p - 205 = u, -p - 5 = 0. Let r = 421 - 1095. Let o = -1994\/3 - r. Calculate the common denominator of o and u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26467?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lrluljgurgfjul. Give prob of picking 2 l, 1 u, and 1 f.\nAnswer: 18\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 5*t**2. Let n(v) = 358*v. What is n(x(b))?\nAnswer: 1790*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 228 and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -98558.094 rounded to the nearest 10?\nAnswer: -98560","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -7*l - 1. Let i(t) = -t. Let w(q) = c(q) + 6*i(q). List the prime factors of w(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.5 and 54630.\nAnswer: 54629.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3408 and 38136?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 286 - 286 + 74*o - o**2 - 3*o**2 + 4*o**2 + 0*o**2 + (0 - o + 0)*(0*o + o + o) as v*o**2 + z*o + y and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 64\/24 + 2\/6. Let p be v - ((-5686)\/(-636) - -2). Let s = p + 94\/53. Find the common denominator of -109\/18 and s.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.11 in -0.3, 0.02, -22?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 - ((-9960)\/(-1652))\/(-6). Which is smaller: q or 1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57610 is divided by 143?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -43418, -43307, -42998, -42389, -41378, -39863, -37742, -34913?\n\"Answer: 17*n**3 - 3*n**2 + n - 43433","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yc when two letters picked without replacement from {c: 1, y: 1, i: 1, b: 5, q: 3}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the first derivative of -7*d**3\/3 + 2. Let c(t) = -t**2 + 19*t - 15. Let s be c(18). Let m(h) = 8*h - 6*h - s*h - h - 2*h. What is m(x(o))?\nAnswer: 28*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 668, 2965, 7196, 13691, 22780, 34793, 50060, 68911?\n\"Answer: 55*x**3 + 637*x**2 + x - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/(-15)*10 + -3. Which is bigger: w or -11\/41?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.025 and 5.\nAnswer: -0.125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 54*y + 0 + 1 to the form h + c*y and give c.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j\/(j**3*j))**(-1\/26)\/(j\/(j\/(j*j\/(j\/((j*j\/(j*j\/(j\/(j\/(j\/(j\/j**(-1\/2))*j*j))*j*j*j))*j)\/j))))*(j\/(j\/j**3))\/j*j) assuming j is positive.\nAnswer: j**(-219\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4 from -21731553.\nAnswer: -21731557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**13\/((z*z\/z**(-15)*z)\/z))**(22\/7))**(-3\/8) assuming z is positive.\nAnswer: z**(33\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5702 * -180.\nAnswer: -1026360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2 + 6*x - 2. Let o be u(-6). Let f(q) = q**3 + 4*q**2 - 2*q - 3. Let z be f(-4). Which is the third biggest value? (a) o (b) 0.3 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 334, 2744, 9282, 22012, 42998, 74304?\n\"Answer: 344*o**3 + 2*o - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 y when three letters picked without replacement from eeiyiyieeeeeyiy.\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 - (-2 + 3) - -36. Let o = 46 - r. Calculate the remainder when 23 is divided by o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 59 in 0, -0.35, 2\/9, 1\/5, -3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53912693*v - 53912660*v = -99 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes before 9:12 AM?\nAnswer: 6:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -218\/1441 - 4\/131. Let c be 2\/(-7) + 14\/49. Suppose c = -6*z + 17 + 1. What is the smallest value in -1\/6, z, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1262?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -7789656 divided by 28\nAnswer: -278202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 4*y**2 + 1)*(-4 + 5 - 2) in the form z*y + n + r*y**2 and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1830930179?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 - 371*k + 540*k - 10.\nAnswer: 169*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5\/(-10)*((-8)\/20 + 2). What is the third biggest value in n, 1\/4, -2\/5, -28?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18 - -8. Let g be (m\/25)\/(1\/(-5)). Suppose g - 38 = -4*a. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 + 4\/(-6))*-2. Let a = l + -3\/2. What is the common denominator of 53\/2 and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 - 0.49221002773\nAnswer: -5.49221002773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/5272 and 50\/1591.\nAnswer: 8387752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -a + 11. Calculate the lowest common multiple of ((-16)\/4)\/((1 - -1)\/(-4)) and a.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 15\/12 - 1\/4. Suppose 2*h - 2 = -14. Let n be -3 + (-12)\/(h\/2). Solve -n = x - 3*l, -1 = -3*x + 4*l + z for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -3 (b) 0.2 (c) 5 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*k**2 - k**2 - k**2 - 2*k**2 to the form p*k**2 + l*k + s and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6550.4 + -237399.9?\nAnswer: -230849.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(-14) + (-12)\/(-7). Suppose -5*d + o + 48 = g*o, 0 = 2*d + 4*o - 30. Find the second derivative of -4*n + 2*n + d*n**2 - 10*n**2 wrt n.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2848 and 2225.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 36227255?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 1073*g - 600. Let f be o(40). What is f rounded to the nearest one thousand?\nAnswer: 42000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*a**3 + 386*a - 73*a + 198*a.\nAnswer: -32*a**3 + 511*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qyqeceqqqeej. What is prob of sequence eyqc?\nAnswer: 1\/594","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 35719840 = 5*g, -3*g = -5*g - 4*h - 14287924. Let t = g - -3833972. Round t to the nearest one hundred thousand.\nAnswer: -3300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 1, -5, 14.5, 1054?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 2*z**2 - 5*z - 8. Let x be b(8). Suppose 6*f = f + x. Let u be (-7)\/((-63)\/66) - 16\/(-24). Calculate the highest common factor of f and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = b + 5*p + 83, -4*b = -4*p - 316. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 3*u - 5*t - 157141, 0 = 5*u - 4*t - 261915. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -5232*w**3 - 3*w**2 + 5*w + 8. Calculate the least common multiple of 36 and d(-1).\nAnswer: 15696","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/5 equal to -235293?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the second derivative of -a**5\/4 - 5*a**4\/4 + 5*a**3 + 20*a**2 + 3*a + 16. Factor g(s).\nAnswer: -5*(s - 2)*(s + 1)*(s + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -15554.857989 to zero dps.\nAnswer: -15555","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 17\/4 (b) -10\/477 (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*b - 262*i + 261*i + 3, 3 = b - 4*i for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/((-4)\/2) + 4. Let m = -79.3 - -79. Sort f, -0.9, m, -4 in descending order.\nAnswer: f, m, -0.9, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76\/2 - 20\/(5\/1) is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23337?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1710593 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes before 4:16 AM?\nAnswer: 6:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12 - 6) + 8 - (4 - 4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -95 take away -1.123822099?\nAnswer: -93.876177901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 + 1002010?\nAnswer: 1002012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -7*n - 1428. Let h(b) = -10978*b. Determine v(h(z)).\nAnswer: 76846*z - 1428","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000117 rounded to 7 decimal places?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -8*b - 8. Suppose y + 31 = -2*d - 2*y, d = -y - 13. Let k be a(d). Factor 7*m**2 - m**2 + 2*m**2 - 2 - k*m + 50*m.\nAnswer: 2*(m - 1)*(4*m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1223526?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21 and 87.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -127*b = -2*z + 2024, 2*b = z + 8291 - 8319 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 34 and 566?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*h**3 - 130*h**2 + 254*h**2 - 124*h**2.\nAnswer: -17*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 913 and 83.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1121 is divided by 34?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/4)\/(24\/(-80))*12\/360*174.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-52)*-2 + (-4794)\/(-4862).\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**9)**(-6\/11)\/((b\/(b*b**(-2)))\/b*b\/((b*b**(8\/7))\/b)) assuming b is positive.\nAnswer: b**(-444\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:39 PM and 11:53 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from {c: 1, z: 3, f: 2, l: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(1\/4))**(9\/5)*h*h*h**11*h**(-6\/11)*h)**(4\/21))**(11\/6) assuming h is positive.\nAnswer: h**(437\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 7*b + 9. Let p(o) = 4*o + 5. Let r = -8 + 15. Let f = 12 - r. Determine f*p(j) - 3*a(j).\nAnswer: -j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 - (2\/(-1) + 76). Let g = -45 - m. Let k be (-5 + (-84)\/(-18))\/(3\/(-45)). Solve -g = -4*t + 2*t - k*u, -2 = t - u for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 5*i = -f + 19, -4*i + 17 = 5*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zwzwxvxwwz. What is prob of picking 1 z, 1 w, and 1 x?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 0*s - 31 = -2*f, -5*f - s + 76 = 0. Suppose -24 = -24*c + 18*c. Suppose -c*q = 2*w - 3*w + 20, -w + 3*q + f = 0. Sort -1, w, 9 in decreasing order.\nAnswer: 9, w, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 4*a - 104. Let f be (5 - 6)*1*14. Let j = f + a. What is the lowest common multiple of 3 and j?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -29061218 divided by 4\nAnswer: -14530609\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -129*p**2 + 7*p + 891*p**2 - 7*p to r + n*p**2 + s*p and give n.\nAnswer: 762","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 134*s + 155*s - 6060 = 188*s for s.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -4*w - 3. Calculate s(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5453775851 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(5 + (1*sqrt(13))**2)*3.\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 16*i - 4039 + 3895 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 90*p**2 - 4234*p + 192. Calculate v(47).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 867 divide 1383048176?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (-7 + 11) - -7?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 30919 * -0.2\nAnswer: -6183.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 72 = 3*c, 0 = -3*c - 5*r + 3*r - 54. What is the units digit of (-47)\/(-5) - (-8)\/c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 2*y**3 + 170*y**2 - 184*y - 977. Calculate t(-86).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a litre in millilitres?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9577881 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, -5, -557 in decreasing order.\nAnswer: -3, -4, -5, -557","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 23033115?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**2 - 1. Let s(d) = -4*d**2 - d + 7. Let g(z) = z**3 + 6*z**2 + z - 12. Let b be g(-5). Suppose b*a - 9*a - 5 = 0. Calculate a*i(k) - s(k).\nAnswer: -k**2 + k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 2 + 0 = 0. Let q be (x\/(-3))\/(1\/15). What is the third derivative of 5*u**5 - u**q + u**2 - 2*u**5 wrt u?\nAnswer: 120*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -281113 or -3092250\/11?\nAnswer: -3092250\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*t - 2*t + 3*t - 4*t + 5 to x*t + h and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 13356?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.04 - -0.01. Let d = o - 0.45. What is the third biggest value in -3\/5, d, 4?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 1495267863?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102 = -3*k + 4*k. Is k a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 43 - 1593\/37. Suppose 8 = -4*g - 5*c + 12, -2*g + c = -2. Which is smaller: g or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 240 and 5680?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of -x**7\/231 - 2*x**6\/165 - x**5\/330 + x**4\/66 - 4*x**2. Factor p(h).\nAnswer: -2*h*(h + 1)**2*(5*h - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-40)\/87 - 2\/(-3). Let j = 34706 - 2012849\/58. Let q = k - j. What is the common denominator of 65\/3 and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1050)\/(-77) - 14 - (-3640)\/(-154)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 117*s - 53 = 98*s, -25 = 5*a - 5*s for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the third derivative of -y**8\/112 + 5*y**4\/12 + 12*y**2. What is the second derivative of w(o) wrt o?\nAnswer: -60*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 493837, 987678, 1481519, 1975360?\n\"Answer: 493841*a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7\/251 - 79\/20833. Let z = h - -144\/913. Let k = 1\/6 + -1\/2. What is the fourth biggest value in k, -5\/2, z, 3?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) -4 (c) -3 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 27.030666 + -8\nAnswer: 19.030666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 12 + -29 + 19 + -11\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9.19 - 0.19. Let t = -449 + 440. Let u = t - z. Which is the third biggest value? (a) u (b) -4 (c) 1\/12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.69 + 0.68939. Round s to 4 dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kdccdhhdcpcc. What is prob of sequence pc?\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 + 2*b**2 - 10*b - 9. Determine w(5).\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 369*j*l - 2*j + 16 wrt l?\nAnswer: 369*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 54914 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: Which is the nearest to -78? (a) -1\/5 (b) 2\/3 (c) 5310\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 4*l**2 - 33*l - 593. What is u(17)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -2*j - 47697. Let m(a) = 3759*a. Determine u(m(t)).\nAnswer: -7518*t - 47697","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express p**3 - 8*p**3 + 3*p**3 + 3*p as h*p**3 + m*p + b*p**2 + u and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 41 = -136. Solve -y - 4*y + 2*c + 15 = 0, 0 = -4*y + 3*c + s for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes after 1:44 PM?\nAnswer: 10:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -112.48 - -111. Let x = i + 1.479853. What is x rounded to five decimal places?\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 72 = 8*l. Let r(f) = -3*f - 17. Let p be r(l). Let o(q) = -q**2 + 10*q - 20. Let a be o(8). Put a, 5, p in ascending order.\nAnswer: a, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -c + 134a1?\nAnswer: 13492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 18973 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:10 PM and 11:41 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 22 in -5, 0.3, 663.5, -4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -237*u**3 - 50*u**3 + 41*u**3.\nAnswer: -246*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) 1\/7 (c) -0.027\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 96 = -8. Let l be 4 + (-48)\/y + -2. Suppose -l*t - 2\/13 + 2\/13*t**3 + 2\/13*t**2 = 0. Calculate t.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 94*l + 2 - 2 - 95*l to d*l + s and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 9 = -4*a. Suppose z = 3*m - a, -1 = -m - z + 2. Solve -17 = -3*s + 4*f - 2*f, m = -3*s - 3*f for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 - -1)\/(1\/(-2)). Let d = c + -3. Let q = -1.1 - -1. Which is smaller: q or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -8 - (-1 + -1 + -1). Let c be 2\/y + 2\/5. Solve 0 = -5*a + 4*n - 5, -2*a + c*a + 4*n = 14 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the third derivative of h**6\/120 + h**5\/12 + h**4\/24 + h**3 - 5*h**2. Let l(k) = -17*k + 46. Let q be l(3). Give w(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-150)\/80 - (-51)\/(-136)?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that g**4\/5 - 2308*g**3 + 11438*g**2\/5 + 233068*g + 1142361\/5 = 0.\nAnswer: -9, -1, 11, 11539","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o + 2 + 4 + 2*o. Let u be t(-3). Suppose -26 - u = -5*n + 3*q, 2*n = -4*q - 4. Solve -15 = -n*p - 3 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-15)\/(-12))\/(1\/(-4)). Let a(m) = m**3 + 7*m**2 + 4*m - 7. Let q be a(y). Suppose -3*g - 5 = -q. What is the smallest common multiple of 2 and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2 - 59*a - 245. Give j(-5).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 2 + 0)*((-4*d + d - 3*d)*(-6*d + 3*d + d) - 3*d**2 + 7*d**2 - 2*d**2) to the form p*d + j*d**2 + b and give j.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 2592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 38*s**2 + 950*s + 11. Give t(-25).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63 is divided by 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -32*v. Let u(b) = -18*b**2. Calculate u(o(q)).\nAnswer: -18432*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -107338 in 1\/4, 0.05, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/25, -2\/3, 6\/5, 0.2, -88 in ascending order.\nAnswer: -88, -2\/3, -3\/25, 0.2, 6\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/4)\/(9\/18*6)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -166 - -188. Suppose 7124 = h*z - 3590. What is the tens digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 2*i = -14 - 29, -3*i = 5*n - 71. Let z = 4 - 3. Solve 4*x - z = -n for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 128 - 61. Is 13 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -8 + 12*j + 8. Let d(m) = -2*m. Give d(l(y)).\nAnswer: -24*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 776171 greater than 776019?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4 or 155\/58?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/2, -2\/5, 15, 3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 62 and 5?\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/16 of a kilometer?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.651 - -7.349. Which is the nearest to -0.1? (a) 7 (b) q (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.7 - -2.46. Let c = k + -265.76. Let v = -304.8 - c. What is v rounded to zero decimal places?\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1288.9 rounded to the nearest 10?\nAnswer: 1290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of 5*v**3\/3 - 3*v**2\/2 - v + 1. Suppose 0 = -6*z + 5*z - 2. Is l(z) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13781 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*n - 55 + 20. Put -4, 2, n in ascending order.\nAnswer: n, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -565, -2285, -5159, -9193, -14393, -20765, -28315, -37049?\nAnswer: -46973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -0.029, 1 in descending order.\nAnswer: 1, -0.029, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -72 (base 12) to base 16.\nAnswer: -56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -128, -122, -112, -98, -80, -58, -32?\n\"Answer: 2*k**2 - 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0410830937 rounded to 3 decimal places?\nAnswer: -0.041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/27)\/(4*3\/(-27)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z**5 + 8289*z**4\/2 - 143247*z**3\/2 - 34749*z**2 + 286590*z + 72684 = 0. Calculate z.\nAnswer: -2, -1\/4, 2, 18, 673","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*y**3 - 6*y**2 + 6*y**2 - 4*y**3.\nAnswer: -4*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 2) + 14 + -19?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a = 8*a - 5, -8 = 4*j + 8*a - 32*a for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 500729009 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2563*m - 4149*m - 11840 - 247811 = 297445 for m.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 9973, 9972, 9971, 9970, 9969?\n\"Answer: -d + 9974","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 12681 to the power of 1\/2, to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 596772?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 0.4 (b) -539 (c) 1158 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-4) + (-856003)\/(-106). What is d rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1898458303?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the third derivative of b**6\/24 - 5*b**5\/4 + 105*b**4\/8 - 245*b**3\/6 - 43*b**2. Factor n(j).\nAnswer: 5*(j - 7)**2*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2105*n - 12 = 3*p + 2101*n, -5*n = -3*p - 12 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 31 - 7996351?\nAnswer: -7996320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.051 - -1.949. Sort g, 4, 0 in ascending order.\nAnswer: 0, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9738*j = 9854*j + 928 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 643 a factor of 268131?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 5*k + 147 = 0, j + k - 117 = 2*k. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*n**2 + 10*n - 2774*n**4 + 2 + 5540*n**4 - 3*n**3 - 2774*n**4 + 6*n**3 in the form c*n**2 + h + u*n**3 + k*n + j*n**4 and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, a: 1, l: 1, g: 1, o: 1}. What is prob of sequence org?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 32265032?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/71874 and 137\/54.\nAnswer: 71874","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 432 + -371. Suppose -q*b = -58*b - 6861. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 368777 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the third derivative of 1\/21*k**4 - 1\/210*k**5 + 0*k + 0*k**3 - 78*k**2 + 0. Solve g(d) = 0 for d.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5.92 - 6. Let k = -0.22 + b. Let g = 0.6 + k. What is the third biggest value in -5\/2, g, -1\/3?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(-4\/5))**(-27)\/((m**(1\/12)\/m)\/m*m*((m\/(m\/m**(-3)))\/m)\/m))**(1\/4) assuming m is positive.\nAnswer: m**(31\/240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*g = 58*g - 20. Suppose -k - g*v = -57, -6*v = -2*k - 8*v + 74. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1045 (base 7) in base 5?\nAnswer: 3001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 7*j. Let c(a) = 55*a**2. What is q(c(b))?\nAnswer: 385*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -20*k**6 + 2*k**4 - 61124*k**3 - 10858*k**2 - 694*k - 6 wrt k?\nAnswer: -2400*k**3 + 48*k - 366744","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*x**3 - 5*x**3 - 7*x**3.\nAnswer: -21*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 3, e: 1, s: 1, r: 1, o: 3, c: 2}. Give prob of sequence kkrc.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2177540 and 38.\nAnswer: 41373260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 55 + 67b?\nAnswer: 6d1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (2125\/10)\/(6725\/1614)?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30)\/(5*(sqrt(10) - sqrt(250)))*-2)**2.\nAnswer: 3\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2714903693 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 7 + 3 = 0. Suppose 3*f + 125 = 176. Let v(p) = -13*p**2 + f*p**u - 5*p**2. Let j(a) = 22*a. What is j(v(w))?\nAnswer: -22*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(11) + sqrt(99)\/(sqrt(27)\/sqrt(3)))**2.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * -21.59.\nAnswer: -2.159","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/4*((-341)\/44 + 5).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 34*b - 16. Let q be v(5). Suppose 5*c = 3*a - q, 4*a + 2*c - 4*c - 182 = 0. What are the prime factors of a?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes before 8:17 PM?\nAnswer: 1:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.3 + -0.7. What is the fourth biggest value in -5, 2, s, 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**4 + 0 + 0)*(-2*n - 3*n + 4*n) + (-n**2 + 0*n**2 + 0*n**2)*(n - 5*n**3 - n).\nAnswer: 7*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -7*p + 3. Let g(h) = 2*h - 1. Let a(b) = d(b) + 3*g(b). Let n(l) = -l + 26. Determine n(a(u)).\nAnswer: u + 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -6*h + 2*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 33954058?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - 110002220?\nAnswer: -110002220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3071317 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(2 - 51\/27). What is the tens digit of (-752)\/n + 6\/27?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-72)\/96)\/((-9)\/(-78))*-2?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -3*u**2 + 7581*u - 3308768. What is l(561)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*k - 4 - 6313526*k**4 + 6313522*k**4 + 52*k**2 + 4 - 8*k**3 = 0 for k.\nAnswer: -5, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5194100 rounded to the nearest one hundred thousand?\nAnswer: -5200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6248, 79, 0.11, -7\/3 in decreasing order.\nAnswer: 79, 0.11, -7\/3, -6248","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 167971 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 100 = -2*q. Let v = 35 - q. Let p be 27\/v - 2*-1. Sort 4, p, -1 in descending order.\nAnswer: 4, p, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -85 (b) 4 (c) 3 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -6*t**2 - 129*t + 1187. Determine z(8).\nAnswer: -229","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -5*u**2 - 5*u + 1. What is a(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 19 + -15 - (1 + 11)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82 = h + 5*c - 97, c = 5*h - 921. Calculate the remainder when h is divided by 35.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -66 divided by -4?\nAnswer: 33\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n = n + 305. Let i = 109 - n. Let k = i + -28. What are the prime factors of k?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 787 in -4\/3, -2, -1, -0.095?\nAnswer: -0.095","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1135*g**3 + 2253*g**3 + 32*g - 1113*g**3 - 6*g - 26*g.\nAnswer: 5*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and 34264?\nAnswer: -68528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 - 5*b**2 + 4*b - 7. Let n be i(-6). What is the greatest common divisor of 5 and n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lw when two letters picked without replacement from eeweweeleeeeee.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9 and 1\/((-4)\/(-16)*-2) - -3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 4*r + w, -r = 24*w - 23*w for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5592200 rounded to the nearest 10000?\nAnswer: 5590000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -3*u + 5. Let k(j) = 6*j - 9. Let p(b) = -5*c(b) - 2*k(b). Suppose 4*g - 10 = -2. Suppose 0 = 3*z + 5*w, -4*z = -g*w + 7*w - 5. What is p(z)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3797 to the power of 1\/2, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 + d**2 + d + 1. Let w be l(-1). Let r be -12 + (79 + -73)\/((-6)\/(-9)). Sort 5, w, 9, r in increasing order.\nAnswer: r, w, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 597, 1183, 1755, 2307, 2833, 3327, 3783?\n\"Answer: -a**3 - a**2 + 596*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*2*sqrt(132)*5)\/(5*1*sqrt(432)).\nAnswer: -sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -70.095 + 0.095. Let q = t - -70.1. What is the biggest value in -0.04, 0.3, q?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -737345137 + -3?\nAnswer: -737345142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 3 + 1 = 4*b, 2*q - 4 = -2*b. Let i = 3023 - 3024. Sort 4, -5, b, i in decreasing order.\nAnswer: 4, b, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -199*a - 13649. Give y(-59).\nAnswer: -1908","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12, 24, 36, 48, 60, 72?\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 583?\nAnswer: 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:21 AM and 11:14 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 517474914?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 22502 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(1\/9)*((v**(1\/6)\/v*v*v)\/v)\/v*v)\/(v\/v**(-2\/7))**3)**(-49) assuming v is positive.\nAnswer: v**(3157\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -3*m - 3. Let o(g) = 2*g - 18. Let u be o(11). Suppose 6*h - 30 = 5*h + 3*i, -4*h + 112 = -u*i. Suppose 4*k + 7 = h. Calculate r(k).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -7*a + 4471, 25*a + 4*z - 1932 = 22*a. Calculate the remainder when a is divided by 23.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 213 + 255 = 52*x for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -11407.28 and -22372903?\nAnswer: 22361495.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (12\/14)\/(-5*(-3)\/105). Let q(c) = c**3 - 7*c**2 + 5*c + 5. Calculate q(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 18*o**5 - 30*o**4 - 22*o**3 + 22*o**2 - 4*o = 0.\nAnswer: -1, 0, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6.4 - 6. Let k be (-9)\/(-105) - 2\/(-10). Which is the biggest value? (a) k (b) h (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 9*q**3 + 8203*q**2 - 8230*q - 16424 = 0.\nAnswer: -8212\/9, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 - 6*h**2 - 5*h - 2. Let n be f(-4). Is (-4)\/n - 122\/(-14) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p - 1. Let w(x) = -2*x**2 + 3*x - 6. Let q(c) = 9*c + 3. Let j be q(-7). Let b be (1 + 1)*(9 - 2). Let l be j\/b - (-2)\/7. Determine l*s(a) + w(a).\nAnswer: -2*a**2 - a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 64294 divided by -527.\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a**3 - 2*a**3 + 6*a**3)*(4*a**2 + 0*a**2 + 6*a**2).\nAnswer: 10*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2.066 and 21.\nAnswer: 18.934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/280 >= -2\/63561?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 32*u - 5. Let v be ((-7)\/14)\/(1\/(-200)). Let j be v\/15 - 3\/(-9). Is r(j) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/616272 and 67\/1440.\nAnswer: 18488160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 257 and 1157930205.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11233 and 470.\nAnswer: 112330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9 and (-5)\/((-125)\/30)*5?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + 20 + -11 - 2 - -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -51c - -727?\nAnswer: 20a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (4 - 0) - 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 13541 - 0?\nAnswer: 13541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-12)*(0 + 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18.1 - -22.1. What is the third biggest value in -3, g, -8, -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 3) + -11 + 10 + 1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 2302 - 6878 = 0. What is the hundreds digit of (-2 + a\/(-2))\/((-111)\/74)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k**2 + 0 - 1 + 0*k**2 + 3*k**2.\nAnswer: k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -137 + 92. Let r = 45 + k. Do -5 and r have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 - ((-1)\/4 + -1). Suppose 4*u - 1 = 11. Suppose 7*w = u*w + 4. Is w less than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyayayyaya. What is prob of picking 4 y?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 + 11*l**2 + 2*l - 14. Let u be s(11). Suppose -t + u = 3*t, 4*t = -5*x + 6093. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 + 6*q**2 - 3*q + 1. Let i be v(2). Suppose 2*z + i = -49. What is the units digit of (1 - 0) + z\/(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 199569159 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(95)\/sqrt(180) - (-3*(sqrt(304)*1 - sqrt(304)))**2.\nAnswer: sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c = -c + 3*w - 14, w = 5*c + 8 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gsgggsssgggggtsssgsg. Give prob of picking 2 s.\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**2 + 5*q - 10. Let u be k(-7). Let n be (6\/u)\/((-1)\/(-18)). Suppose -n = -2*v - 5. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8.8 - -9.5. Suppose 4*u + 8 - 4 = 3*v, -3*u = -v + 8. Sort p, -7, v in ascending order.\nAnswer: -7, v, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -422200153 (base 6) in base 13?\nAnswer: -16b8586","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + 19 + 1. What is the third derivative of -a**6 - 40*a**y + 40*a**4 + 3*a**2 wrt a?\nAnswer: -120*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 832 + -825. Let y(q) be the second derivative of -1\/9*q**4 - 4\/45*q**6 - 1\/63*q**7 + 0*q**2 + 0 - 1\/6*q**5 + j*q + 0*q**3. Factor y(v).\nAnswer: -2*v**2*(v + 1)**2*(v + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = -8*b + 51 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -7187 to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 261000 rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(38)\/(sqrt(2)*-3))**2 + sqrt(19)*2*6 + -5.\nAnswer: -8\/9 + 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12 + 7. Let t = 1234\/7 + -176. Sort -0.4, t, b in descending order.\nAnswer: t, -0.4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20 - -19. Which is smaller: -2 or h?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(15\/8)\/(j*((j**16*j)\/j)\/j))\/((j\/((j\/j**(-31)*j)\/j*j))\/j**(-41)) assuming j is positive.\nAnswer: j**(-185\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**2 + 14*j + 40. Determine s(-9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g - 5*g + 3*g)*(3*g - 16*g + g - 3).\nAnswer: -24*g**2 - 6*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**2 - 29*d - 182. Determine n(-9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -48 (base 14) to base 4\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**2 - 41*r - 339. Calculate d(-33).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1649*i - 84692 = 283*i for i.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 894*p**2 - 10*p. Let a(u) = 1787*u**2 - 18*u. Give 5*a(b) - 9*d(b).\nAnswer: 889*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 23 = -4*s + 7, -4*s + 40 = -4*x. Sort 1, s, -1, -117 in descending order.\nAnswer: s, 1, -1, -117","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -32 + 23. Let m = -16210 - -16204. Are m and c nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 1, 0.45, 0?\nAnswer: 0.45","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**4\/5 + 76*z**3\/5 + 136*z**2\/5 - 2016*z\/5.\nAnswer: 4*z*(z - 4)*(z + 9)*(z + 14)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 186 divide 41292?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ga when two letters picked without replacement from {a: 1, b: 2, c: 1, d: 1, y: 1, g: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 326652, 653307, 979962?\nAnswer: 1306617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + (sqrt(7) + 4)*-6 - (sqrt(70)*-3)\/sqrt(10)) + 0.\nAnswer: -24 - 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1664322 by -6.\nAnswer: 277387","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of -3*s**5\/5 - s**4\/6 - 37*s**2\/2 - 29. Let a(x) be the second derivative of y(x). What is the second derivative of a(o) wrt o?\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 342815668.\nAnswer: 2, 13, 6592609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -64 - (-87 + 97 - 139)?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 776764 a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -1. Let x be 0 + 6 + (1 - 8). Let s(q) = q - 1. Let l(j) = x*r(j) + s(j). Let b(m) = 33*m. Determine b(l(w)).\nAnswer: 33*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 + -2. Let c be (2\/(-5))\/(1\/5). What is the remainder when (-4)\/c - (-25 + 0) is divided by o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -1 - (2 - 3) - 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -34 divided by 226\nAnswer: -17\/113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16.8964978 + -16.898. What is o rounded to 5 dps?\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 450026, 900090, 1350154, 1800218, 2250282?\nAnswer: 2700346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 28.104 and -0.7.\nAnswer: -19.6728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 197681?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 119\/19920 and -59\/308760.\nAnswer: 617520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - 1.3. Suppose 12 = -3*x - x. Let m be (-4)\/8 - x\/(-2). What is the third biggest value in m, i, 0.5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 409 + -409. Let l = 316 + -315.97. What is the smallest value in -3\/8, o, l?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 3*w - 9, -3 = -4*a + 5*a. Let d be -3*(-2)\/3*1. Solve -d*g - 2 = -t - w, -2*g + 4 = t for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -164 (b) 2\/11 (c) 21 (d) -1\/13 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 57765483602 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.04*21\nAnswer: 0.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -757*o = -419*o - 370*o + 896 for o.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4609912 or 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110*w + 145*w = 140 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -7*w**2 + 12*w + 30. Let j(m) = 2*m**2 - 4*m - 6. Let z(u) = -i(u) - 3*j(u). Determine z(9).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - 6. What is the biggest value in -3\/4, f, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 615 - 1846\/3. Let i = 8 - -6. Let x = 14.5 - i. What is the third biggest value in x, p, 3, 5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**2 - 17*g + 14. Let f be i(-8). Let h = 135 + f. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5, -9, -25, -59, -117?\nAnswer: -205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -2\/3, -0.4, 0.02, 2\/19, 0.4, -1\/581?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 155582 to the power of 1\/3, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 634.4 and 30?\nAnswer: 19032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -10*y + 3. Let r(i) = -30*i + 8. Let s = 98 + -95. Calculate s*r(w) - 8*j(w).\nAnswer: -10*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14470062*d - 15398877*d + 1162793*d.\nAnswer: -28706146*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-22)*(-5093)\/(-4167).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 9:41 AM?\nAnswer: 5:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*t = 115 + 81. Differentiate 101 + 85*b**4 + 23 + 117*b**t with respect to b.\nAnswer: 808*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2\/9 - 4*p\/9 - 32\/9.\nAnswer: (p - 8)*(p + 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 163157395?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6384, -6371, -6358, -6345, -6332?\nAnswer: -6319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 88130199.\nAnswer: 3, 73, 103, 3907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 716227072?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**2 + 2*t + 4. Suppose 1 = 3*r + 3*v + 10, -r - 3*v - 9 = 0. Let a be b(r). Suppose -a*p + 2*p = -100. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*u - 44. Suppose 3*x - u = -0*x. What are the prime factors of x\/(-15) + (-32)\/(-5)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-25324)\/5844*(-18)\/(-104)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*o - 12*o**2 + 8*o)*(3*o + 0*o - o) - 14 + 3*o**2 + 4 + 65*o**3 - 63*o**3 - 2*o.\nAnswer: -22*o**3 + 3*o**2 - 2*o - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) -5\/6 (c) 0.1 (d) 1\/24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -5*1*(-10)\/25. Let o(i) = -4*i**2 + 4*i**2 - 2 + 0*i**q - i**2 + 5*i. Determine o(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((sqrt(187) - -1*-1*sqrt(187)) + (sqrt(187) - 1*1*sqrt(187)) + sqrt(187) + sqrt(187))\/(-5*((sqrt(275) + 4*sqrt(275) - sqrt(275)) + sqrt(275))))**2.\nAnswer: 272\/15625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 637214501 and 231.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -378*b**2 - 27*b - 27. Let l = -1683 + 1681. Let g(o) = -29*o**2 - 2*o - 2. Determine l*t(n) + 27*g(n).\nAnswer: -27*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -2*r**2 - 679*r - 54622. Calculate i(-128).\nAnswer: -478","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1364?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m**2 + 5198332*m - 46785069 = 0. Calculate m.\nAnswer: -5198341, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000071509 to seven dps.\nAnswer: 0.0000072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 687*k - 786*k + 792 = 0 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 64224*g*n**3 - 2*g*n**2 - 10*g*n - 2*g - 4*n**3 - n**2 + 370072*n - 1 with respect to g.\nAnswer: 64224*n**3 - 2*n**2 - 10*n - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4011205 by -802241.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + -10110011101101?\nAnswer: -10110011110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4005020 - -5?\nAnswer: 4005025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 19770 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 32*l**4 - 75230*l**3 + l**2 + 725588 wrt l?\nAnswer: 768*l - 451380","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3137 + -3142. Put k, -2\/3, 0.0817, -2, 0.4 in decreasing order.\nAnswer: 0.4, 0.0817, -2\/3, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -53712450 to the nearest ten thousand.\nAnswer: -53710000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*m**3*w**2 + 637*m**3*w + 3519*m**3 with respect to w.\nAnswer: 4*m**3*w + 637*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -90 + 1633. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.042 - 0.081. Let i = k - -0.039. Let m = -1 + 0.99. Which is the third smallest value? (a) i (b) 5 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 2, -6.7, -89?\nAnswer: -6.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2c85 (base 13) in base 8?\nAnswer: 14603","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 51 - 25)*(-b - 2 + 2).\nAnswer: 77*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 4 = y + 10, 12 = -2*a + 4*y. Solve a*v - 20 = 7*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 4*g + 14 = 0, 0*g = a + 3*g + 14. Calculate the common denominator of ((-4)\/a)\/((-3)\/(-33)) and -25\/21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 110 divide 139590?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 115932643*f**4 + 30*f**2 + 14458773 wrt f.\nAnswer: 2782383432*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-2380)\/6*222\/(-592))\/((-5)\/(-1420))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(567) - sqrt(567)*4)*-1)**2.\nAnswer: 5103","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n = -3*n - x - 14422, n + 2*x - 2880 = 0. What is the thousands digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1356.6957876 and -0.09?\nAnswer: 1356.6057876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-262)\/7 + (-26624)\/5824\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -184 + -1448.\nAnswer: -1632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**2 - 71*t - 338. What is the least common multiple of o(93) and 4?\nAnswer: 1708","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (13\/39)\/(1\/18). Suppose -5*f - 3*x - 60214 = 0, -2*f - 4*x - 24076 = -d*x. Let u = -1159 + f. Round u to the nearest one thousand.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 4*q**2 - 2*q**2 - 3*q - 2*q. Let o(v) = -2*v**2 + 6*v. Let s(c) = -44*c - 93. Let r be s(-2). Calculate r*o(t) - 6*m(t).\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1))**(-2\/79)*m**(-1)*m**(-1\/3)*m assuming m is positive.\nAnswer: m**(-73\/237)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 3*p - 2*p + 9 = 0, -2*c - 8 = -4*p for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 9*d**2 + 2416*d + 75316. Calculate m(-36).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -244*s**3 + s**2 - s - 2. Let r be d(-1). What is the highest common divisor of 183 and r?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a gram in milligrams?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1208)\/302)\/(((-16)\/(-2))\/(-4)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1\/12 - -3\/4. Factor 2\/3*f**2 + 2\/3*f - i - 2\/3*f**3.\nAnswer: -2*(f - 1)**2*(f + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -0.2, 6\/5 in decreasing order.\nAnswer: 6\/5, -0.2, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f. Let q(w) = -w - 6. Let m(c) = c - 1. Let j(b) = -6*m(b) + q(b). Let z(i) = 2*j(i) + 18*u(i). Give z(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 209507 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*d**2*s + 306*d**2 + 2*d*s**2 - 2*d*s + 1664*s**2 + 1 wrt s?\nAnswer: 2*d**2 + 4*d*s - 2*d + 3328*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 59 (b) -0.5 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*h + 9*h + 6*h.\nAnswer: -12*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1887 is divided by 156.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 2*n + 0 + 0. Let c(h) = 2*h - 4. Let r = 11 - 4. Let b(s) = -4*s + 7. Let k(f) = r*c(f) + 4*b(f). What is k(g(u))?\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -215.21 - -4.21. Let a = x - -210.25. Round a to 1 dp.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3679755370 to the nearest 1000000.\nAnswer: 3680000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 36 = -3*s - n, 0 = -4*s + 2*n - 24. Let i = -11 - s. Let l(g) = g**3 + 3*g**2 + 2*g + 3. What is l(i)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -70358 - -132097. What are the prime factors of q?\nAnswer: 107, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -6 + 244 + (6 - (-78)\/(-12)). Which is greater: 239 or y?\nAnswer: 239","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:49 PM and 12:33 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 5*o = -5*t - 5, -o = 2. Put 5, -1, 4, t in decreasing order.\nAnswer: 5, 4, t, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 313520129.\nAnswer: 13, 37, 651809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-2\/9)\/(h\/(h\/(h**(22\/7)\/h))) assuming h is positive.\nAnswer: h**(-149\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 4*a**2 + 3*a + 5. List the prime factors of q(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(704) + (sqrt(704)*1 - sqrt(704)))*-3 + -2)**2 + -1 + 4.\nAnswer: 96*sqrt(11) + 6343","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.65 - -59.65. Let p = u - 66. Is 0 less than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 38097638\/9 + -2783709665\/657. Let n = v - -3930. Let x = n - -399\/1460. Which is smaller: -1 or x?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -3499*n - 27997. What is t(-8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 5*f = 10. Let t be (-6)\/(0\/4 + f)*1. Suppose 0 = -t*n + 3*d + 54, 2*d + 85 = 5*n - 2*d. Are n and 13 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -107, -132, -213, -380, -663?\nAnswer: -1092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 62 + -8. Let q = 211 + -76. What is the highest common divisor of q and n?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 152687310 to the nearest one million.\nAnswer: 153000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -9025369 <= -9025371?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 1.1, -31?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67*o + 38*o + 34*o.\nAnswer: 5*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1695 is divided by 122?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4\/(-6))\/(8\/12). Let t = 20.01 - -2.99. Is g smaller than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**4)**(-34)\/(o*(o\/(o\/((o\/o**6)\/o)))\/o)**(-37) assuming o is positive.\nAnswer: o**(-358)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 82 = -2. What is the least common multiple of 7*(264\/(-21))\/(-4) and o?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-108)\/(-21))\/(3\/(13\/(130\/70)))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 5*a + 7, -4*f + 4*a + 2 = -f. Let d be (-2)\/3 + 59999996\/f. What is d rounded to the nearest one million?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 10, 2, -4.\nAnswer: -4, 2, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -3*x + 9 - 1, -4*x + 16 = 4*f. Let w(s) = s + 27. Let q be w(-9). Solve 3*z - 3*k = -q, x*k - 5*k + 10 = z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3442918 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002202 to 5 dps.\nAnswer: -0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1711 and 47769409.\nAnswer: 1711","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -212 - -258. Calculate the highest common divisor of m and 138.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -23908\/24711 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 3 - -1 - 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -52212 (base 8) to base 3\nAnswer: -1002200120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*t - 3357 + 4691 = 33*t for t.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 198949 and 581381.\nAnswer: 703","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (46 + (-2136)\/48 - 14\/8)\/(2\/212)?\nAnswer: -53\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 22 = -2*b, 26*b - 24*b - 4 = 5*w. Factor 46\/13*g - 24\/13 - 20\/13*g**w - 2\/13*g**3.\nAnswer: -2*(g - 1)**2*(g + 12)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i and 1 q when four letters picked without replacement from {i: 7, q: 2}?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 11*v**3 - v. Let l be n(1). What is the common denominator of 1\/(-15)*15\/l and (-1396)\/180 - 2\/(-10)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -c + 6*z + 44, 5*c - 3*z - 132 = 0. Let j be 2*-2*1\/c. Sort j, -2\/5, -4 in increasing order.\nAnswer: -4, -2\/5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + 2*x - 12. Suppose -3*f = -5*u - x*f + 195, -2*f = -10. Suppose t - u = -t. What is the greatest common divisor of t and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/27162 and -79\/24?\nAnswer: 108648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-6)*(-9)\/(-66)*-11*-29\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13 - -11. Suppose -5*h - 2*y - y = -18, 4*y + 16 = 0. Suppose 3*u + h = 2*s + u, 5*s + 3*u = 23. What is the second smallest value in s, l, 5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (10\/(-3))\/((-4)\/6). Solve 0 = s*n + 5 - 15 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-30))\/((-2)\/(-28)*3584\/1024).\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.12 in -3, 0.053, 1\/5?\nAnswer: 0.053","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3240) + 6*sqrt(3240)*2 - sqrt(3240))\/((sqrt(128) - -2*sqrt(128)) + sqrt(80)\/(-1*sqrt(10))))**2.\nAnswer: 58320\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18 + -17. Let f be 7 - 5 - (-1 - a). Solve 23 = f*o + 3 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00021187 to 5 dps.\nAnswer: 0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10111 + -110110111110000000010?\nAnswer: -110110111101111101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 70? (a) 0.1 (b) 3 (c) -0.12 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24, -120, -396, -942, -1848?\nAnswer: -3204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y, 15 = j + 4*j + 2*y. Factor -11*h**2 - 9*h**3 - 7*h**j - 12*h**5 + 20*h + 3*h**2 - 8 + 16*h**4 + 8*h**5.\nAnswer: -4*(h - 2)*(h - 1)**3*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16369 * 2\nAnswer: 32738","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 67, 132, 197, 262, 327?\nAnswer: 392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:40 PM and 12:35 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*u**3 + 0*u**3 + u**3 + 310*u**2 - 249*u**2 - 37 + 29 as o + g*u**3 + s*u + w*u**2 and give o.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((-4)\/80*-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 892841771 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3.63 and -59.3?\nAnswer: -215.259","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 + 20*x**2 - 35. Let s be h(19). Let c = -2 + 22. What is the second derivative of -s - 18*w**5 - c*w + 326 wrt w?\nAnswer: -360*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8 or -607976\/7?\nAnswer: -607976\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*q**3 - 2 + 136*q**2 + q - 129*q**2 - 5*q**3 in the form i + k*q**3 + y*q**2 + d*q and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5759345*h**5*i + 4*h**3*i + 21*h**2*i + 10*h**2 + h + 2409*i + 1 wrt h?\nAnswer: 345560700*h**2*i + 24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 4:21 AM?\nAnswer: 9:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.0985 - 0.102086. Let x = -0.0031 - d. Round x to 5 decimal places.\nAnswer: 0.00049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 1096 = -4*j - 3*r, 0 = -4*r + 12. Is -6 + (-3 - -11) - j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 2 p when four letters picked without replacement from {p: 3, w: 17}.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in -367, 120, -0.4, 2\/21?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**23\/k*k**(2\/5))\/(k**(-3\/4)\/k**(-2\/45)) assuming k is positive.\nAnswer: k**(4159\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:52 PM and 10:19 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10*a**2*b**2 + a**2*c - 63*a*b**2*c**2 - 2*b**2*c**2 - 7 wrt c.\nAnswer: a**2 - 126*a*b**2*c - 4*b**2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5453 + -5456. Let f(u) be the third derivative of -u**6\/60 - u**5\/60 + u**4\/8 - 2*u**3\/3 - u**2. What is the units digit of f(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 114612853\/11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 24 - 22. Let h = -5 - -11. Calculate the least common multiple of h and w\/(-4)*(-62 + 2).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 - (12\/(-9) + 2\/(-3)). Sort 1, -1, u in ascending order.\nAnswer: -1, u, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:35 PM and 8:45 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -2*w**3 + 0*w**3 - 2*w + 3 + 0*w. Let a(q) be the third derivative of q**6\/24 + q**4\/4 - 4*q**3\/3 - 3*q**2 - 1. Give -3*a(z) - 8*o(z).\nAnswer: z**3 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fn when two letters picked without replacement from {a: 1, n: 1, l: 1, w: 1, f: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/16 + 462\/8. Suppose -5*b + 4*o + 21 = 0, -7 = -2*b - b + o. Suppose v - b = a. Is v a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*u - 1122 = -1785 for u.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1612043 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 952 and 544?\nAnswer: 3808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -37181160 divided by 108?\nAnswer: -344270","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6*l**4*p - 49*l**4 + 187*l**2 - 190204052*p wrt l.\nAnswer: 24*l**3*p - 196*l**3 + 374*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 35 + -438.7023143.\nAnswer: -403.7023143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/78 and -59\/48048.\nAnswer: 48048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -637 - -642. Let o = -1\/2 + 1. What is the closest to o in -0.04, 2, d?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the second derivative of o**5\/5 + 9*o**4\/5 + 4*o**3\/3 - 20*o. What is v in f(v) = 0?\nAnswer: -5, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4693 + -3341. Suppose 3*x = 4*k + d, -4*k = 2*x - 6*x + 1800. Does 8 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20403 and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3489 is divided by 3479?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.039 - -4.039. Sort -2\/13, -1\/9, j.\nAnswer: -2\/13, -1\/9, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2134 = 5*v + 2119, 23 = w + 4*v for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 349.471 to the nearest 10.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of -r**4\/2 + 7*r**3 - 6*r**2 + 969. Determine a(10).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/1*-1 - 8. Suppose o + 5*m - 136 = 7*m, 4*o - 4*m - 536 = 0. Let i = 124 - o. Which is greater: j or i?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 1656 smaller than -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4881, -19491, -43811, -77835, -121557?\nAnswer: -174971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 0, -3*a - g = 2*g - 12. Suppose 0 = a*t + 3*u - 40, -5*t + 3*u + 35 = -15. Suppose 415 = 5*v + t. Does 27 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1956 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1d6d062 (base 14) in base 7?\nAnswer: -236456152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the third derivative of 5*a**4\/24 + a**3\/3 - 133*a**2. Let u(z) = -z - 1. Determine -d(o) - 4*u(o).\nAnswer: -o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-36) - (-19873)\/(-1503)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from thhththttttth?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 (base 12) in base 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -8*u**2 - 3*u. Let v(t) = -24*t**2 - 8*t. Let q(l) = 8*h(l) - 3*v(l). Let p(g) = -g**2. Determine p(q(y)).\nAnswer: -64*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u + 176556 - 88901 - 87655.\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 20907?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -52\/115 and -47\/2918?\nAnswer: 335570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -24236 + -14?\nAnswer: -24252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/(-6)*-6 + 7. What is the third derivative of 5*a**2 + a**4 - 3*a**2 - u*a**4 wrt a?\nAnswer: -72*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(40)*1)\/sqrt(8) + sqrt(55)\/sqrt(176) - (sqrt(605) + sqrt(605) + 0 + -3)*-5)**2.\nAnswer: -993725\/8 + 6675*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12 - 9. Let j(m) = 2*m**2 - 7*m + 3. Let b be j(q). Solve 2*a - 4*r - 26 = b, r + 2 = -2 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 4*h - h + 20 - 4*h + 4*h. Let m be v(12). Suppose -2*d + m = -140. Is d a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(637)*-1 + 3)**2.\nAnswer: -84*sqrt(13) + 673","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4621 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-4*(sqrt(425) + (sqrt(425) + -1*sqrt(425))**2 + 0) - (-3 + sqrt(1088)*-1 - sqrt(1088))*-6).\nAnswer: -116*sqrt(17) - 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*y - 14*y**2 + y**2 + 0*y + 10*y**2 - 2*y - 116 as h*y + p + v*y**2 and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 10*p + 2*p = 210, 2*j - 18 = -p - 4 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 4*v = 12. Suppose -j = v*r - 200, 3*r = -r + 5*j + 176. Let f be r\/14 + (-1)\/2. Solve -f = -3*p + 2*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11846259.6697313 - -27624397.3302618. Let m = 39470653 - x. Let f = 4 + m. Round f to 6 dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -0.1 (b) 0.3 (c) -768\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 404?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1797324 rounded to 2 decimal places?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11110011000001010011 (base 2) to base 4.\nAnswer: 3303001103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13175 to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 - ((-4)\/(-5))\/(18\/175815). Let f = m - -12858. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -3*y - y. Suppose b = -y*b + 72. Is 4 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8177143 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 3. Let q(s) be the third derivative of -s**4\/24 + 4*s**3\/3 - 3*s**2. Suppose 0 = 3*t - 3*j + 18, 3*t + 20 - 6 = 5*j. Determine t*l(c) + 3*q(c).\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a milligram in micrograms?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -21 + 18311?\nAnswer: 182c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 36883601 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 29340636?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000899665 to 7 decimal places.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2330733 is divided by 691?\nAnswer: 681","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10485 is divided by 57.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1382.3 and 1?\nAnswer: 1382.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 3607 = -5*u + 3626, -5*u + 63*h = 61*h - 11 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16 + -16. Suppose 2*l = -m + 8. Solve z = 3*n - z + 2, n = l*z - 4 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 774*z + 1447*z - 16876 + 7234 = 17010 for z.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, 9, -6, 18.\nAnswer: -6, -2, 0, 9, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + c = 2, c - 6*c + 26 = 3*p. Let g(j) be the first derivative of 0*j**p + 1 + 0*j**3 + 1\/4*j**4 - j. What is the first derivative of g(f) wrt f?\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 9) to base 11.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times 1806?\nAnswer: -9030","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*k - 2. Let i(z) = z + 4. Let s be i(k). What is the biggest value in s, 0.1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 3 - (-1 - 1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.985 - 4.585. Sort -16, i, -2\/15 in descending order.\nAnswer: i, -2\/15, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 309808067 to the nearest integer?\nAnswer: 677","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = v + 2*a + 3*a, 4*v - 3*a - 22 = 0. Let o be ((-5)\/2)\/((-1)\/(-2)). Let i = -2 - o. Solve v*y - y - i = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 950511085 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 126449645 and 490.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i - 71 + 71 + (4 - 4 + i)*(2 - 1 - 2))*(3*i**2 - 3*i**2 + i**2)*(-11 + 4 - 7).\nAnswer: 42*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 11:30 PM?\nAnswer: 9:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmqmvmvmmmmmm. Give prob of sequence mmv.\nAnswer: 55\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-125)\/(-15) + (44\/(-6) - -7).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1497892 by -68086.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3864, 15494, 34860, 61950, 96752, 139254, 189444?\nAnswer: 247310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -82313 or 1?\nAnswer: -82313","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 18045 + -0.4?\nAnswer: 18044.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -2*u + 6. Suppose 9*y + 75 = 24*y. Let x(g) = -2*g + 6. Calculate y*q(k) - 6*x(k).\nAnswer: 2*k - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 75*s - 36. Let k(u) = -15*u + 7. Let l(r) = 11*k(r) + 2*v(r). What is the remainder when 79 is divided by l(-1)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7061 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3430 = -547*o - 4228 for o.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + i - 44 = -2*i, 0 = 3*f + 3*i - 24. Let x = -242 - -250. Suppose f*b + x = 11*b. Calculate the lowest common multiple of 18 and b.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (-8 + 1) - 6.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -s**2 - 272*s + 85.\nAnswer: -2*s - 272","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2843 is divided by 92?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7141501.\nAnswer: 31, 107, 2153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.11 and -232.\nAnswer: 25.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 150191 and 252793.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 - -2. Let d = 47\/90 - 3\/10. What is the second biggest value in s, 3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -18*h**3 + 21*h**2 + 30921*h + 14. Let y(j) = -28*j**3 + 33*j**2 + 46381*j + 22. Determine -11*u(v) + 7*y(v).\nAnswer: 2*v**3 - 15464*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25888.\nAnswer: 2, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.43, 0.3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 12 - -361b4d2?\nAnswer: 361b504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 50, 50, 42, 20, -22, -90, -190, -328?\n\"Answer: -m**3 + 2*m**2 + m + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1, 315, -2, -1 in descending order.\nAnswer: 315, 1, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -517 = 2*y + 9*y. Is y > -49?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2128 - -14?\nAnswer: -2114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2984?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -6*j + 32. Determine k(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 281*z**2 - 52*z + 9. Let m(u) = 141*u**2 - 31*u + 5. Give -5*m(h) + 3*n(h).\nAnswer: 138*h**2 - h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102124398 is divided by 43.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 14, -29, 1\/4, 4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g - c + 21, 2*c = -5*g + 10*g - 84. Suppose -g = p - o - 42, 3*p + 4*o - 72 = 0. What is the highest common divisor of 15 and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, -32, 21, 4, -3, -2.\nAnswer: -32, -4, -3, -2, 4, 5, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o. Let z(q) = 36*q - 1. Let n(b) = -2*s(b) - z(b). Let c be n(-2). Suppose c = 4*f - 79. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + sqrt(17) + sqrt(68))*5)**2 - (sqrt(68)\/sqrt(4)*-1 + 4).\nAnswer: -749*sqrt(17) + 4446","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 - o**2 - 3999995. Let i be d(0). Let c be 2 - i - (-1 - 2). What is c rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7639091590 to the nearest integer?\nAnswer: 87402","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three tenths of a centimeter?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 8. Let p = q - 6. Let o(z) = -2*z - 9. Let f be o(-6). Solve 2*d + 5*y = 5, -f*d + 0 - p = -y for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4\/3, 1\/4, -5\/48, 4\/5, -1\/3, 2?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 2*a**3 + a**2 - 5*a. Let v(g) = -8*g**3 - 5*g**2 + 19*g + 1. Give 9*u(d) + 2*v(d).\nAnswer: 2*d**3 - d**2 - 7*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30993, -30994, -30995, -30996, -30997, -30998?\nAnswer: -30999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -58*b**2 - 24*b**3 - 65*b**2 + 92*b**2 wrt b.\nAnswer: -144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78*t - 6 = 75*t. Let p(d) be the first derivative of 3*d + 1\/3*d**3 + 2*d**t - 1. Factor p(u).\nAnswer: (u + 1)*(u + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 103 - 86. Suppose 11*q - 168 = t*q. Let b(j) = j + 37. Let a be b(q). Solve -a*i + 6*i = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 times 493075?\nAnswer: 7396125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8\/(-10) + 1 - 3381\/(-345). Let m(r) = -r**3 + 11*r**2 - 11*r + 14. What is m(f)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*k + 14*k + 10*k + (5 - 2 - 1)*(-2*k + 2 - 2) + 5*k - 3*k - k.\nAnswer: 14*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 + 11*y**2 - 17*y - 53. Let r be z(-12). Let f(h) = -h**2 + 8*h - 4. Determine f(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of g*m*r**2 - 8763*g*m*r - g*r**2 - 160788*m*r**2 - 5*m + r**2 + 2*r + 3 wrt r?\nAnswer: 2*g*m - 2*g - 321576*m + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18 + 2 - 2)*(-3*y + 2*y - y)*(0 + 0 - 2*y).\nAnswer: -72*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-89775)\/(-36))\/19 - (-5)\/(-4). Suppose 0 = d - 238 - q. List the prime factors of d.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*o**2 + 35*o**2 - 4*o**2.\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -324, -16, 11, -3, -5, -1 in descending order.\nAnswer: 11, 0, -1, -3, -5, -16, -324","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 n when three letters picked without replacement from nknkz?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -81630, -163912, -246188, -328458, -410722?\n\"Answer: 3*b**2 - 82291*b + 658","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6821.226 months to centuries.\nAnswer: 5.684355","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 490807 is divided by 76?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 - -9. Suppose -t*y = -y - 30. Calculate the remainder when 4\/(-18) - 65\/(-9) is divided by y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/45? (a) 30 (b) -5 (c) -1 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.5 from 19392.011.\nAnswer: 19392.511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2 - 2*x + 20. Let a be r(-5). Suppose 3*i = -2*n + 1213, 6*n + 2051 = a*i + 2*n. List the prime factors of i.\nAnswer: 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -5*h - 2. Let t be w(-1). Suppose q - 4*q - 2*y + 4639 = 0, 4609 = t*q - 4*y. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/423736 and -32\/57?\nAnswer: 24152952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -275150 or -275453?\nAnswer: -275453","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes after 6:53 PM?\nAnswer: 11:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 12*b**2 + 2*b - 14*b**2 + b - 4. Let q(y) = 2*y**2 - 4*y + 4. Suppose -5*k + 19 = n, -k - 2*n + 1 = n. Give k*x(u) + 3*q(u).\nAnswer: -2*u**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6580)\/(-70)*(12\/(-28))\/((-6)\/7)?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m - 4*m + 8 = 0. Suppose 3*t - 5*g + 9 = 0, 2*t + 6*g - 7 = 5*g. Is m*(t + -10 + 2) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 - 4 + 2549976*w - 2549974*w.\nAnswer: 2*w - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 12257, 24506, 36755?\n\"Answer: 12249*j + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p - 150 - 30 = 0. Let t be ((-1)\/p)\/((-196)\/245). Let m be 1 - 1 - 2\/2. Are t and m nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -2*u**2 + u - 1. Let x(h) = -h**2 + 7*h - 10. Let g be (5\/(-2) + 2)*-8. Let b be x(g). Calculate n(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -292*t - 55*t + 566 + 1169 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 45383 a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 951541?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) -16\/67429 (c) -36\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-5)*(-85)\/(-17))\/(36 - 2).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 5*d - 147. Let w be q(30). Sort 1, w, 105 in increasing order.\nAnswer: 1, w, 105","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6148 is divided by 3024.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 8*i + 196. Is i a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -32, -0.6, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1782.5 - -1783. What is the closest to 0.46 in k, -5, -3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1269)\/(-5264))\/((741\/152)\/13)?\nAnswer: 9\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes after 8:52 AM?\nAnswer: 4:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01146399 to 3 dps.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 89965004*r**3 + 4*r**2 + 836400835*r.\nAnswer: 539790024*r + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.18 - -0.25. Let m = -22365\/2 + 11183. Which is the second biggest value? (a) n (b) m (c) -3\/4 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.004773586 rounded to five dps?\nAnswer: 0.00477","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g + 9. Let m(o) be the second derivative of -o**3\/6 + 5*o**2\/2 - 3*o. What is 5*m(h) - 3*s(h)?\nAnswer: -2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 4*a - 6620. Let c be 2\/(((-1)\/2)\/(-1)). Suppose 0*w + c*w = a. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.11 (b) 2\/11 (c) -3\/2 (d) -4 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, -2\/23, -5, 16, -2\/9, 483, -0.4?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t**2 + t**2 + t**3)*(-9*t**2 + t**2 + 2*t**2) + t**5 - 2*t**5 + 4*t**5 + (3*t**3 + 7*t**2 - 7*t**2)*(2*t**2 + 2*t**2 - 2*t**2) + 4*t**5 - 8*t + 8*t.\nAnswer: 7*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 + -9. Suppose 0 = -2*c - 2*w + 44, -2*c + 3*w + 78 = 3*c. Let z = c + 0. Put 1, z, p in increasing order.\nAnswer: 1, p, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 - 4*d - 7 + (-29 - 42 + 3)*(-4*d + d + 0*d) as t + o*d and give o.\nAnswer: 200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 339 times -208\nAnswer: -70512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 87\/4229?\nAnswer: 87\/4229","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81008201*d + 81008065*d + 9112 = 0 for d.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -g - 7. Solve 0 = -b - 2*n + 2 - g, 11 = -5*b - 2*n for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 + 17 + (-44 - -15)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/6)\/((-9)\/(-2646)). Let b = j + -322. Let x be 2 - 5 - b\/49. What is the third biggest value in x, 7, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 105.16113 + 0.00887. What is p rounded to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -22883*y**5 + 4143260*y wrt y.\nAnswer: -457660*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4 + -3)*(0 - 0). Suppose 0*f + 4*f = 4*a + 20, -3*f - 2*a = c. Suppose -3*l + 0*l = h - 16, -3*h + 70 = -f*l. Is 13 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2905 + 7713. List the prime factors of o.\nAnswer: 2, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 190 at most -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 46726818 - -0.042565.\nAnswer: 46726818.042565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3846 and 4949171256?\nAnswer: 3846","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -355199, -355193, -355187?\nAnswer: -355181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 27791908 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -2*i + 2. Let f be l(3). Let t be 8 + (-2)\/4*f. Let s = 4383 + -4379. Sort t, s, 1 in decreasing order.\nAnswer: t, s, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(1 + (-3 + 6*(2 + sqrt(5)))*6*5)*1)**2.\nAnswer: 97560*sqrt(5) + 235441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - ((50 - -30) + -32 - 197)?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 35*13\/(-819)*(-9)\/1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45\/111*-37*(10\/(-8))\/(27\/12).\nAnswer: 25\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p**3)\/p)**(-36\/11))**(-10)*p**(-3\/8)*p**(-6)*p**(-1)\/(p**(-1)\/p) assuming p is positive.\nAnswer: p**(8167\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115688 = -29*r + 52860. What are the prime factors of r?\nAnswer: 2, 1453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6807 is divided by 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -24*588\/(-72576)*12?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3630 is divided by 71?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -63, -140, -219, -300?\n\"Answer: -x**2 - 74*x + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 441?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 200769 divided by 3?\nAnswer: 66923","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + m = 0, -i = -5*m + 2*m - 4. Let d = -17 - -20. Calculate the remainder when d is divided by i.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -4*o**2 - 2*o. Let j(b) = -b**2 - 9*b - 26. Let u be j(-5). Let g(z) = 2*z**2 + z. Give u*r(i) - 11*g(i).\nAnswer: 2*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the second derivative of o**7\/42 + 62*o**5\/5 - 2*o**3 - o**2\/2 + 65*o. Find the second derivative of m(n) wrt n.\nAnswer: 20*n**3 + 1488*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -2*b - 4. Let q = -30 + -13. Let s = q + 48. Calculate the smallest common multiple of s and h(-4).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -6*i + 1. Let t = 272 + -273. Give u(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 3*n + 1, -35 = -3*n - 44. Sort 2\/5, 3\/7, 2\/43, h in ascending order.\nAnswer: 2\/43, 2\/5, 3\/7, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69292361 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yykkyyyyyyykykkkkyy. What is prob of sequence kk?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000802948211 to seven decimal places.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7 by -2197742.\nAnswer: 7\/2197742","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = 10*i - 5*i. Let y(d) = 4 + 0*d**2 + 4099*d - d**3 - 4111*d - 11*d**2. What is y(i)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -380243\/42 - -9054. Let w(m) be the second derivative of m - 2\/7*m**5 + 1\/7*m**2 + 64\/147*m**7 + u*m**4 + 0 - 16\/21*m**6 + 10\/21*m**3. Factor w(x).\nAnswer: 2*(x - 1)**2*(4*x + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 6642696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 80 (base 12) to base 9\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 9 = 4*g, -g + v = -2 - 7. Suppose -2*r = 5*h - g*r - 101, -108 = -5*h - 3*r. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * -3.9.\nAnswer: -7.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in nineteen quarters of a litre?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 47109591?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1281*m**6 + 80083*m**3 - 40*m**2 + 1290080 wrt m?\nAnswer: -153720*m**3 + 480498","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1685*l**2 - 791*l**2 + 901*l**2 - 2743*l**2.\nAnswer: -4318*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 25717793*s**2 + 16506501?\nAnswer: 51435586*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = f - 13, 0 = 4*i - f + 4*f - 47. Solve q = 4*a + i, -4*a - 5*q - 7 = 1 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -110100 (base 2) to base 11\nAnswer: -48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43\/(26\/65 + (-1)\/(-10)) is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 522 and 58?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v, 0*p = -2*p - 5*v + 120. Is p a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 35 and 5745243?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 61075?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 20740 to the power of 1\/2, to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 117 + -109. Let k(v) = -17*v - 47. Let o be k(m). Let a = -25 - o. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1502*k**3 + 6*k**2 - 35784 wrt k.\nAnswer: -4506*k**2 + 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) 4 (c) -201\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 21979142 to the nearest integer?\nAnswer: 280","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.3 + 0.7. Let l = -2.211 - -0.151. Let y = 0.06 + l. What is the third smallest value in h, -3, y?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 381510.\nAnswer: 2, 3, 5, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -61620481 to the nearest one hundred thousand.\nAnswer: -61600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -1 + 218850\/21 - -15*4\/(-140)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 3*u - 5 = 0. Solve -m + v + 5 + 2 = 0, 8 = u*m + 4*v for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bcqcbcqqcqcc. Give prob of sequence bqq.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(((-72)\/(-27))\/2)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*v - 23*v - 5*m = -7, 0 = 2*v - m - 21 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 775046800 rounded to the nearest one million?\nAnswer: 775000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 443 (base 7) to base 6\nAnswer: 1015","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, -79183, 1\/5, 1, 2\/19, 3 in decreasing order.\nAnswer: 3, 2, 1, 1\/5, 2\/19, -1, -79183","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/11)*o**18)**(-48) assuming o is positive.\nAnswer: o**(-9600\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/o**(2\/9))\/o)\/o**3*(o\/(o*o**(-2\/25)*o))\/((o\/(o*o**(1\/4))*o)\/o))\/((o**(-2))**8*o\/(o**(2\/5)*o)*o**(1\/3)) assuming o is positive.\nAnswer: o**(10957\/900)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 - 13 = 5*p. Suppose -1680 = -5*q + 5*s, 9*s = p*s. Is 8 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -458 - -678. Calculate the remainder when i\/14 + 12\/42 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76 = -n + 2*r + 219, 0 = -3*r + 12. List the prime factors of n.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29.72183 rounded to 0 decimal places?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1996564 = 23*o - 25*o. Suppose -537718 - o = 6*q. Round q to the nearest 10000.\nAnswer: -260000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by -76?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 3*k = -6, -8*j = -9*j - 5*k + 23 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - -312?\nAnswer: 321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 10 + 2)*(-14*g - 5*g + 0*g) to z*g + a and give z.\nAnswer: 209","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 542146 and 2794?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -447.877? (a) -1 (b) 78 (c) -0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 + (2 - 33\/39). Suppose -j + 4 - 1 = 0. Suppose -v - 4 = -5*v, 0 = 5*i - 2*v - j. Are i and b equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 6*n - 6 = -3*n, 3*y - 4 = 5*n. Let b(l) be the second derivative of -1\/15*l**6 + 0*l**2 + l + 0*l**4 + 1\/5*l**5 + 0*l**y + 0. Factor b(w).\nAnswer: -2*w**3*(w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/13? (a) 1.7 (b) 0 (c) -262.3 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00020514 rounded to five decimal places?\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2142 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 230831?\nAnswer: 19, 12149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84 + 102 + 22*g - 286 + 100.\nAnswer: 22*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 240111423 (base 5) in base 11?\nAnswer: 68a824","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s = -10*s - 10. Let b(m) = 12*m + 5. Let l(t) = -13*t - 6. Determine s*l(o) - 6*b(o).\nAnswer: -7*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 12212 (base 6) in base 3?\nAnswer: 2110222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 4)*(-4 + 3*d + 4)*(-3 + 4 + 18 + 0 - 2 + 4 + (4 + 3 - 5)*(-6 + 1 + 4) + 2 + 2 - 5 - 2 + 4 + 0).\nAnswer: 60*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -11626.8783 rounded to the nearest ten?\nAnswer: -11630","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*w**2 + 7*w**2 - 3*w**2 - 10*w**2 - 12*w**2.\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + -32 - ((-4 - (-8 + -2)) + -9)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4143.\nAnswer: 3, 1381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -2*y**2. Let c(b) be the second derivative of 1\/2*b**3 - b + 0 + 0*b**2. Calculate c(p(d)).\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8601, -17145, -25591, -33891, -41997, -49861?\nAnswer: -57435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*f - 8 = -39*f + k, -5*f = 14*k + 13 for f.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10694614.\nAnswer: 2, 7, 763901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3062584?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 - 15. Let g = -2 - w. Let m be (-4)\/10 + 180\/325. Which is the second biggest value? (a) -4 (b) g (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - x + 0 + 2*x)*(-1679*x - 665*x + 751*x).\nAnswer: -1593*x**2 + 3186*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ysv when three letters picked without replacement from {y: 2, s: 1, v: 9, x: 5, b: 1}?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 93.05415 centimeters to millimeters.\nAnswer: 930.5415","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1344178861 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - 5*v = -p - 26, 103645*p - 20 = 103642*p - 4*v for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vtv when three letters picked without replacement from hvassyvyttyv?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(208)*-2)\/(sqrt(40)\/(sqrt(10)*2)) + (-3 + (sqrt(1300) - (sqrt(1300) + 3)**2) - ((sqrt(1300) + 3)*4)**2).\nAnswer: -22256 - 1018*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1455 + 4863 = 3*y - 57*y for y.\nAnswer: -117","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 2*u + 1. Suppose -2 = -4*j - y + 3, -4*y + 20 = 3*j. Suppose 2*f - 6*f - 2*x = j, -x - 6 = -f. Determine c(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 60, 69, 88, 123, 180?\n\"Answer: y**3 - y**2 + 5*y + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 226656306?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -27 (b) 39.98 (c) 16.53\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 185, 371, 557?\n\"Answer: 186*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xcadcdxaxvaa. Give prob of picking 3 a.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(1 + (((sqrt(2299)*-2 - sqrt(2299)) + -1 - sqrt(2299) - (sqrt(2299) + 1 + sqrt(2299) + sqrt(2299) + sqrt(2299))*3)*4 + 0 + 1)**2).\nAnswer: 21120*sqrt(19) + 9416930","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8393156 is divided by 13850.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*q + 36 = 20*q. Suppose i = q - 7. Let m(z) = 3*z - 3. Let a(w) = -5*w + 0 + 4 + w. Give i*a(h) + 3*m(h).\nAnswer: h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/21 - (-5)\/7. Suppose -2*s = 9 + p. Let t = -57 + 66. What is the biggest value in 0, s, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 66*r**5 - 183*r**3 - 51*r**2 + 90*r + 51. Let b(w) = -5*w**5 + 14*w**3 + 4*w**2 - 7*w - 4. Let s(p) = 27*b(p) + 2*x(p). Suppose s(k) = 0. What is k?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 28326579?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.9 + -2. Let r = -271249.9 + 271250. Which is the nearest to n? (a) 3\/2 (b) r (c) 0.074\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -61042500900 to the nearest 1000000.\nAnswer: -61043000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 42641?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7bb + 3?\nAnswer: 802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 250, 1081, 2464, 4399, 6886, 9925, 13516?\n\"Answer: 276*p**2 + 3*p - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -469410636, -938821273, -1408231910, -1877642547, -2347053184, -2816463821?\n\"Answer: -469410637*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -459056160 plus -0.0765025?\nAnswer: -459056160.0765025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*r + 737414 = -6*r + 736343 for r.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 204 + 0*o**2 - o**2 - 86 + 290 - 87 - 4*o**3 as c*o + t*o**3 + j*o**2 + g and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 19*p - 170 - 1 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 3*g**2 - 4*g + 4. What are the prime factors of l(-3)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1792)*-2 - sqrt(1792))\/(sqrt(100)*3))**2.\nAnswer: 448\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**2 - 1. Let q = 3 - 2. Let i(b) = 3*b**2 - 6*b + 4. Let g(w) = q*i(w) + 2*k(w). Let o be g(6). Solve -o*p + 10 = 3*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 27794 and 15054.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9479714?\nAnswer: 2, 4739857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1 - 5 + 7*b**4 + 5 wrt b.\nAnswer: 28*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.8 and 112.371.\nAnswer: 89.8968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 109 divide 6976?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30, 109, 240, 423, 658?\nAnswer: 945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 96 and 95 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 29.49335 micrograms?\nAnswer: 0.02949335","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2862, 5793, 8740, 11703, 14682, 17677, 20688?\nAnswer: 23715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in eleven tenths of a gram?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 4*p = -3, -3*p = -d + 33. Suppose 0*u + 3*u = d. Calculate the remainder when 14 is divided by u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2979122.0027 - 2979266. Let u = 144 + b. Round u to three dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 + 0 + 9*b + 5 - 4 to the form j*b + c and give c.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, h: 7, t: 4}. Give prob of sequence thh.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 153 + -234. Let c be 2\/(-4) + k\/(-2). Suppose -3*x + x = 5*r - c, -5*r + 3*x = -40. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4\/6)\/((-2)\/(-2004)*2). Suppose 3*w = -5*m + v, w - 194 = -3*m - 4*w. Is 5 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 g when three letters picked without replacement from bdguald.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 326065 is divided by 163029?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q + 9 = 3*q. Let r(f) = -68*f + 4. Let b(w) = 16*w + 1. Let u(d) = 2*b(d) + r(d). Is u(q) a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -2*o**4 - o**2 - o - 1. Let x(b) = 15*b**4 - 5*b**3 + 4*b + 8. Let f(r) = 24*d(r) + 3*x(r). Factor f(q).\nAnswer: -3*q*(q + 1)*(q + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -3753565?\nAnswer: 1\/3753565","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the third derivative of 0*b + 1\/60*b**5 - 3\/8*b**4 + 0 - 5*b**2 + 0*b**3 + 1\/60*b**6. Let w(u) = -3*u**3 - u**2 + 13*u. What is 5*w(n) + 7*x(n)?\nAnswer: -n**3 + 2*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -65 + 208 + -190 + -2 + -7.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3*2\/(-180) + (-2)\/12. Let j = 61\/105 - -3\/35. Let u = 3\/256 - -247\/768. Which is the third smallest value? (a) z (b) -5 (c) u (d) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -2426 + 4*m - 3*m + 2419. Calculate z(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14944197*c**5*j - c**4*j**2 - 2*c**2*j**2 - 2*c**2 - 244*c*j - 14103*c - 2*j**2 wrt c.\nAnswer: 896651820*c**2*j - 24*c*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2 + 4)*(-12 + 12 - 2*b**3) - 2*b**3 + 0*b**3 + b**3 - b + 2*b + b**3 - 3*b**3.\nAnswer: b**3 + b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -1 - 5 - 8*x + 2*x - 1. Let u(c) = 3*c + 4. Suppose -4 = -10*d + 46. Suppose -5*v + 37 = -v - 5*y, -v - 4*y - 17 = 0. Give d*u(p) + v*k(p).\nAnswer: -3*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 24 = -4*n + 3*w, n - 19 = -2*w. What is the third derivative of l**3 - l**3 - n*l**2 + 8*l**4 - 7*l**4 wrt l?\nAnswer: 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55044123 = 42*g + 69*g. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*b + 2 - 2)*(-2*b**2 - 4*b**2 + 3*b**2) + (-b + 9*b**3 + b)*(-37 + 44 + 82) to c*b**2 + s + n*b**3 + h*b and give n.\nAnswer: 807","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v - 0*v - 2*g + 296, -3*g = -2*v + 132. Let z = v - -2. Calculate the remainder when z is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = 4*b - 1. Let m(a) be the second derivative of a**4\/12 - 2*a**3 - 3*a**2\/2 - 97648*a. What is m(b)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/378 and (-2461)\/4158 + (-22)\/(462\/(-9)).\nAnswer: 4158","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9039 and 141237388.\nAnswer: 3013","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 111 = -4*u + 87, u + 360 = 4*t. Let o = 1963 + -1950. Calculate the greatest common factor of t and o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2 - s. Let o(r) = 117*r**4 - 619*r**2 - 3*r. Let l(y) = -3*i(y) + o(y). Find the third derivative of l(g) wrt g.\nAnswer: 2808*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (18 - 3 - (-117 + 127))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*n**2 - 49364 + 49364.\nAnswer: 12*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 215604, 215632, 215660?\n\"Answer: 28*c + 215576","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the second derivative of b**4\/60 - 4*b**3\/15 + 2*b - 22. Factor q(j).\nAnswer: j*(j - 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 122488506 to the power of 1\/2, to the nearest integer?\nAnswer: 11067","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -8, 27, 62, 97, 132?\n\"Answer: 35*w - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*x**3 - 13*x**3 + 11*x**3.\nAnswer: -15*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -78881*r**5 + 936*r**4 - 71729674*r wrt r?\nAnswer: -1577620*r**3 + 11232*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/12 - (-742)\/84. Suppose b*g - 1562 = -230. What are the prime factors of g?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 + -4)*45\/27 + -299. Let d = c + 306. Solve 5*s - 10 = 0, -2*s + 12 = d*y + 3*s for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1660177 and -0.2.\nAnswer: -1660177.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(-4)\/(-6)*8\/(-16)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2795 (base 10) to base 14.\nAnswer: 1039","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 - 13687*z**2 - 150674*z + 45. What is h(-11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 136 divided by -1273.\nAnswer: -136\/1273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -2*i. Let m(g) be the second derivative of 7*g**6\/720 + g**4\/4 + g. Let o(r) be the third derivative of m(r). What is o(n(b))?\nAnswer: -14*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 2*w**2 + 7*w + 4. What is the tens digit of q(-11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00600621 to three dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 384 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6205075 times -0.01?\nAnswer: -62050.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -448.426 - -456.4. Round n to zero decimal places.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -213943215, -213943216, -213943217, -213943218, -213943219, -213943220?\nAnswer: -213943221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tttfutmftffttttu. Give prob of picking 2 f.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 999*g + 27169 + 22300 - 15862 + 8351 = 0 for g.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -2*l**3 + 2*l**2 + 2*l + 1. Let a be q(-1). Suppose j = -j + a*s + 10, s = -j. Suppose -4*x = -10 - j. Sort x, -1, -3 in ascending order.\nAnswer: -3, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15 - 36. Let v = 27 + x. Does 6 divide v\/2 - 216\/(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144 - 91 = 40*a + 45. Let r(p) be the first derivative of 2*p**3\/3 + 3*p**2\/2 + 2. Let b(y) = 5*y**2 + 7*y. What is a*r(f) + 3*b(f)?\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 65.4 + -57. Let r = f - 11.4. Which is the second biggest value? (a) -0.35 (b) r (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the third derivative of -1\/24*v**6 + 0 - 1\/30*v**5 + 16*v**2 - 5\/6*v**4 + 0*v**3 + 0*v. Find the third derivative of m(i) wrt i.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/259752 and -109\/1152.\nAnswer: 12468096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*a + 66*a + 34*a + 18*a.\nAnswer: 109*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -941 (b) -1\/4 (c) 2\/11 (d) -3 (e) 4 (f) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, 791, -2, -101 in increasing order.\nAnswer: -101, -2, 2, 4, 791","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 84*m**2 + 10*m + 190. Does 7 divide r(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 3*b + 51 = -22 + 42, 0 = -3*w + 3*b + 45 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 401.9 + -403.9. Let f = 3 + -2. Sort -0.2, 3\/2, f, y.\nAnswer: y, -0.2, f, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j + 5*b + 9, -2 = -18*b + 20*b. Solve 0 = -3*v + h + 12, j*h = 21*v - 19*v - 28 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -120 - -1?\nAnswer: -11a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the first derivative of 3*v**2 - 12*v - 14. Let w be f(3). Suppose 4*g - 2*r - 958 = 0, w*r - r = -2*g + 497. List the prime factors of g.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/5, -1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 131.3*-156.9\nAnswer: -20600.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the second derivative of 0 + 0*h**2 + 0*h**3 - 1\/105*h**6 + 1\/147*h**7 + 2*h + 1\/42*h**4 - 1\/70*h**5. Factor b(k).\nAnswer: 2*k**2*(k - 1)**2*(k + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/15*6\/(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*k + 11 = 28. Let y(o) = -2*o + 11. Let t be y(0). What is the highest common divisor of k and t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51 - 1220*y - 148 + 1222*y.\nAnswer: 2*y - 199","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3122312 (base 4) in base 13?\nAnswer: 64b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-306)\/17 - 28 - (-20 - -10).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2\/15, 22, -1 in descending order.\nAnswer: 22, 2, -2\/15, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 156\/75 + (-20)\/250. Let g = 0.1 + 0.1. What is the fourth biggest value in r, g, 0, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 79*o + 38 = 19*m - 81*o, -3*m + 2*o + 66 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s**4\/11 + 30*s**3\/11 - 162*s**2\/11 - 1134*s\/11 - 1620\/11 = 0. What is s?\nAnswer: -5, -3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 519222913 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in fifty-two fifths of a millennium?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17765, -71077, -159917, -284273, -444133?\nAnswer: -639485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*d + 6*d - 4*d)*(-3 - 2 - 5)*(82 + 16*d - 82).\nAnswer: 480*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 4 = -10. Let t(x) = -4*x + 20. Let o be t(5). Let r be (-4)\/(-40)*-5*(o - 10). Solve v = -4*l - r for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 36*b - 1. What is the units digit of q(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**4 + 7*g**3 - 18*g**2 + 7. Let q(x) = -x**4 + 2*x**3 - x**2 + 1. Let u(y) = 5*q(y) - s(y). What is the third derivative of u(m) wrt m?\nAnswer: -144*m + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -22.88 - -27. Let i = f - -0.88. Put i, -3, 0.34, 3 in descending order.\nAnswer: i, 3, 0.34, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -44 - -62. What is the third derivative of -610 + 610 - 9*j**2 - s*j**3 wrt j?\nAnswer: -108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, -22, 10\/3?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-1\/7)*n\/n**9*n)**(-15)\/((n\/n**12)\/(n\/(n\/(n*n**10*n))))**(1\/16) assuming n is positive.\nAnswer: n**(10481\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 58\/7 + (-8)\/28. Let x(z) = -12*z**2 + 13*z + 15. Let c(v) = 6*v**2 - 7*v - 7. Let g(b) = 5*c(b) + 2*x(b). Is g(s) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 2*u = -2, 36*z - 40*z - 4 = -4*u for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -203874\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 4*p**2 + 2*p**2 - p**2 - 16*p**2 + 4 - 8*p + 12*p**2. Let y be (-3 + 0)*14\/(-6). Calculate l(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -4*q + 38 - 15, l - 8 = -q. Suppose -q*h = 3*z + 10, -2*h - 40 = -5*z + h. What is the least common multiple of 8\/(-10)*z\/(-2) and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 47*p + 850. What is the lowest common multiple of 323 and s(-17)?\nAnswer: 969","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10270 + 10270. Solve n = 16*g + 4 - 84 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b + 3*b - 2*b)*(-38059 + 6535*b - 38054 + 76113).\nAnswer: 6535*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 2*o**2 + 24*o + 103. Let k(a) = a**2 + 24*a + 102. Let q(t) = 3*f(t) - 4*k(t). List the prime factors of q(20).\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.5487 - -0.0857. Let t = y + 0.46299809. What is t rounded to 7 dps?\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -609, -2186, -4815, -8496, -13229, -19014, -25851?\nAnswer: -33740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**2 + 6*a - 4. Suppose 3*c = 11*c - 24. Suppose 0*s + c*s - p = 26, -3*p = 4*s - 39. Calculate the remainder when q(5) is divided by s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 61 + -25. Let o = i + -16. Is o a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 47340 = 5*h, -3*h + 5*o - 2*o = -28404. What are the prime factors of h?\nAnswer: 2, 3, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21.6 - -22. Which is the biggest value? (a) -2\/17 (b) k (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14 + 22. Find the common denominator of 2\/s*(-312)\/30 and -109\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the third derivative of i**4\/12 + 3*i**2. Let a(b) = -3*b. Let m(n) = -4*a(n) - 5*p(n). Let z(y) = 2*y. Calculate z(m(l)).\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7538929 divided by -3.\nAnswer: -7538929\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2034 + -1974. What is the greatest common factor of z and 1224?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5\/(-15) - 1\/((-9)\/21). Suppose -4*s = 2*o - 732, -p*o + 0*o - 2*s = -738. Let u = -92 + o. Is u a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-20 + 6 - 8)*(0 - 2*m + 0)*(-5*m**2 + 2*m**2 + m**2) in the form p*m + x*m**2 + b*m**3 + w and give b.\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 209*o*q**2 + 2*o*q + o - 2*q - 9 wrt q.\nAnswer: 418*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 987840 and 1120?\nAnswer: 987840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18 + -14. Let t be ((12\/9)\/(-4))\/(h\/(-36)). Suppose -t*i + 132 = i. What is the lowest common multiple of 30 and i?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2762, 5600, 8438, 11276, 14114?\nAnswer: 16952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 30*u**2 + 0*u + 0*u - 5*u**2 as d*u + n*u**2 + c and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 13*v**2 - 11*v - 11. Let h = -12 + 6. Let i(c) = 6*c**2 + 4*c**2 - 6 - 3*c**2 - 6*c. Let f(r) = h*k(r) + 11*i(r). Factor f(y).\nAnswer: -y**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (-2 + -2 + 5 - 3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -541, -1027, -1499, -1951, -2377?\n\"Answer: v**3 + v**2 - 496*v - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 16 = 4*s - 3, -2*s + 4*m + 4 = 0. Let v = -2 + s. Calculate the greatest common divisor of v and 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.467671 litres in millilitres?\nAnswer: 4467.671","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 10*i - 4. Let j(n) = 293*n - 116. Let c(s) = 2*j(s) - 58*k(s). Let d(b) = 2*b + 6. Calculate c(d(p)).\nAnswer: 12*p + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -27353087, -54706168, -82059249, -109412330, -136765411, -164118492?\n\"Answer: -27353081*s - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**2 + 2*o - 4. Let u be m(-4). Let g be (u\/33)\/((-10)\/(-15)). Which is the second smallest value? (a) -0.3 (b) g (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**2 + 12*o + 17. Let v = 11 - 1. Is j(v) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (45\/2)\/(-9)*(-58)\/725*-1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6573 - 105217\/16. Calculate the common denominator of 119\/360 and r.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + 2.8. Let y = -3.2 - f. Sort y, -2\/15, -0.3 in ascending order.\nAnswer: y, -0.3, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(-1\/4)\/z)**(-30)*((z\/(z\/z**(2\/21)))\/z)\/((z*z\/z**5)\/z))**(1\/7) assuming z is positive.\nAnswer: z**(445\/294)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -30238 + 30239. Let n be (-2)\/(-1) - 3*-1. Suppose -c = n*u - 10, -2*u + u = 3*c - 16. Solve 2 + u = -f + 2*t, -2*f + q = 3*t for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1023*t - 645*t = -438*t - 57810 for t.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the second derivative of -y**5\/30 + 11*y**4\/12 - 3*y**3 - y**2 + 2*y + 33. Let u(o) be the second derivative of n(o). Give u(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*u - u + 2*u.\nAnswer: -16*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0, -647757 in ascending order.\nAnswer: -647757, -5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3. Let z(g) = g**3 + 2*g**2 - 3. Determine -3*m(h) - z(h).\nAnswer: -4*h**3 - 2*h**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -15*s + 95. Let h be j(6). Sort -4, h, -32 in ascending order.\nAnswer: -32, -4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-24)*3)\/((-1)\/(-10)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.5 (b) 137 (c) -0.3 (d) -3\/8 (e) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 6*h = -40. Find the second derivative of 2*k - h*k**4 - 2*k - 2*k wrt k.\nAnswer: -96*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1188 and 5610?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2084 + d2f?\nAnswer: 2db3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 12a + 38?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 299410225 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -5*c**2 - 41*c - 12. What are the prime factors of r(-6)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 1 + sqrt(7) + -5 + (sqrt(7) - sqrt(112)))*-1.\nAnswer: 3 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 + -4. Let k(h) = -2 + 2 - a. Let o(j) = j - 3. Let f(c) = 3*k(c) - 2*o(c). Differentiate f(u) wrt u.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-57)\/38*(-30884)\/6*1?\nAnswer: 7, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*o - 14*o - o + 3*o.\nAnswer: -9*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c**2 + 3 - 29 - 3*c**2.\nAnswer: -5*c**2 - 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -8 (b) 0.4 (c) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 13*p - 7. Calculate m(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75 - 121 = 4*g + 3*q, 0 = g - 12*q - 14 for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d - d + d)*(-4*d**2 + d**2 - 12*d**2) - d**3 - 6*d**3 + 9*d**3.\nAnswer: 17*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 5*h**2 + 4*h. Let u(d) = 9*d**2 + 7*d - 1. Let g(p) = -7*c(p) + 4*u(p). Let y be g(-3). Let b be ((-10)\/3)\/(20\/30)*(-41)\/41. Solve b*z = y - 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 41*-40.888\nAnswer: -1676.408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 1214*y - 70413. Give c(58).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*2531.\nAnswer: 17717","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 356 = 4*p, -s + 11 + 81 = p. Calculate the remainder when p is divided by 45.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 249 is divided by 124.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -532, -1060, -1604, -2170, -2764, -3392?\n\"Answer: -l**3 - 2*l**2 - 515*l - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 3*1.591\nAnswer: 4.773","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i = 7*i - 78. Let t(k) = -4 + 7*k**2 + 7 - i*k**2 - 7*k + 4. Give t(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 94 - 89. Suppose 2*m + 18 = -4*q - 0, 0 = -w*m + 5. Let z(s) = -s**2 - 3*s + 7. Give z(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -130, -582812, 5\/4, -5 in descending order.\nAnswer: 5\/4, 0.1, -5, -130, -582812","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -11*q - 11. Give b(0).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4db56 (base 14) in base 2?\nAnswer: 101110110001010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-1*sqrt(700) + sqrt(448) + -1*sqrt(448) - (1 + (sqrt(7) + (sqrt(28)\/sqrt(4) + 3)**2)*1)).\nAnswer: 51 + 51*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the second derivative of -z**3\/6 + z**2 + 10*z. Let h(p) = -4*p + 9. Suppose 0 = -3*j + 2*j - 9. Determine j*b(o) + 2*h(o).\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jzal when four letters picked without replacement from {l: 2, z: 6, q: 5, j: 1, a: 2}.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 156607 and 2.\nAnswer: 313214","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -3*s**3 + s**2. Let z be g(1). Let l = 3 + -3.4. Suppose 16*m - 24 = 10*m. What is the third smallest value in z, m, l?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/1690 and 48\/14027.\nAnswer: 140270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(2 + -2 + (sqrt(1331) - 2*sqrt(1331)) + 5 - ((5 + 1 + sqrt(1331) - (sqrt(1331)*1 + 1)) + -3))**2.\nAnswer: -132*sqrt(11) + 2680","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -23 + -3?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6528*m + 765*m**2 - 6524*m + 5*m**3 + 0*m**3.\nAnswer: 5*m**3 + 765*m**2 + 4*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -18, -83, -204, -393, -662, -1023, -1488?\n\"Answer: -2*q**3 - 16*q**2 - 3*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 616*m*n**6 - 3*m*n**5 - 2433*m*n**2 wrt n.\nAnswer: 73920*m*n**3 - 180*m*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vbzv when four letters picked without replacement from ybyyzbyyubbuvvvyzyy.\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g + 4*v - 4, 0 = -3*g + 3*v + 56 - 29. Solve g = -3*i - 4 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -52496 or -472468\/9?\nAnswer: -472468\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.004 + -0.0066. Let l = 18.6546497 + -18.652. Let t = a + l. Round t to five decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 66\/41 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 56 + -55. Let a be 4\/(-2) - (-1 - 1). Suppose a*j = 2*j. Is j smaller than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 74 = -4*g, 0*f + 38 = f + 2*f + 2*g for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-206)\/(-4) - 7\/14. What is the greatest common divisor of d and 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 m when two letters picked without replacement from xmhmxxxxhhxhxhxvxmvx?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -14 - -32014425?\nAnswer: 32014411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 2*a - 8 = 0, 4*o + 667*a = 662*a - 20 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-235 + 120 - -79 - (0 + 2 - -3))\/(-1)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7461 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a decade in months?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4029 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2244 - 194*i**3 - 1914 + 193*i**3 to l + o*i + z*i**2 + n*i**3 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence asn when three letters picked without replacement from anssx?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + -3 - (-10 - -16).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21 + -12 - (15 - 3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h - 6*h = -5*d, -h - 4*d - 7 = 0. What is the hundreds digit of (-3310)\/(-4)*((-4)\/h + 2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.91 * -2\nAnswer: 7.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000701 to six decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 434937 is divided by 11152?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -2*b**2 + 12*b - 11. Calculate the remainder when 32 is divided by u(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -13, 2, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 313 divide 303923?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8.93 + 0.07. Let p = 9.7 - g. Let z = -0.5 + p. Which is the nearest to 2\/9? (a) 4 (b) z (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7609 is divided by 7602.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25675\/(-6162)*(-2)\/(-5).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24 - 47 - (14 + -39)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fccofocc. Give prob of picking 1 c, 2 f, and 1 o.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(-36)*3\/(2*-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 13*q**2 - 1. Let p be x(1). Let h be (-51)\/p + 9\/(-12). Let v(l) = -2*l - 4. What is v(h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2000 and 1166336?\nAnswer: 145792000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 3*i = -216, -p - 3*i - 54 = -0*p. Let c = p + 94. Is 20 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the second derivative of 1\/3*g**2 - 5\/63*g**7 + 5*g + 7\/9*g**3 + 9 - 1\/15*g**5 - 11\/45*g**6 + 5\/9*g**4. Let q(m) = 0. What is m?\nAnswer: -1, -1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + m + 21 = 0, -4*m + 16 = 4*x - 0. Let g(n) be the second derivative of -n**5\/20 + n**4\/3 + 4*n**3\/3 - 3*n**2 + 1006*n. Give g(x).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5541\/33 - 10\/(-110). What is the highest common factor of c and 560?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 272\/(-170)*10\/4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -1, 0, 0.0356?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -18*u**2 - 67. Let g(c) = -58*c**2 - 202. Determine -3*g(z) + 10*x(z).\nAnswer: -6*z**2 - 64","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 6*c**2 + 26*c + 13. What is the remainder when 164 is divided by a(-5)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -12968 at least -14270?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 195045768 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 2\/3, -3, 3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tgjtqtqgjgxxq. What is prob of picking 2 q and 1 x?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the first derivative of -5*c**2 - 15*c - 7. Let b be u(-3). Calculate the greatest common divisor of b and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1898)\/(-31317) - 590\/(-66).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8718\/7 or 1244?\nAnswer: 8718\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2590413?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9086058517 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 186, 3286, 6386, 9486?\nAnswer: 12586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 + 15*d**2 - 16*d + 5. Let v be c(-16). Suppose v*w = 10*w - 22435. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43661 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (40 - 4) + -32\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -4, 2\/5, -8 in decreasing order.\nAnswer: 7, 2\/5, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k = 5*z - 5, 2*k + 2 - 10 = -5*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4551349?\nAnswer: 11, 413759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -2*p**3 - 37*p**2 + 70*p + 1583. Calculate q(-18).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = -10*p + 33 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/(-21)*-1 - (-4)\/(-112). Let w = -542.2 + 497. Let m = w + 45. What is the third smallest value in m, -1, 0.1, d?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -30 (b) -0.5 (c) 0.3 (d) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 54663 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 fourth smallest value in -34\/23, -3\/2, -5, 902, -15\/8?\nAnswer: -34\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 <= 0.08?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 2*s = 12, -3*s - 18 = -6529*o + 6523*o. Suppose -3*g + 5 = -1. Solve o = -g*l - 2*l - 12 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.321886 to 3 decimal places.\nAnswer: 0.322","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 4*l - 4*b - 55, b + 82 = 4*l. Is l a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of c**5\/12 + c**2. Let n(w) = -2*w. What is s(n(m))?\nAnswer: 20*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*l + 703 - 379. Which is smaller: -0.3 or l?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 94 divided by 41496.\nAnswer: 47\/20748","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 318 + -294. Suppose 10 = 2*c, 3*g + 3*c - 17 = 2*c. Suppose 2*m = g*m - 120. Calculate the highest common divisor of m and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 41*t*u*y**2 - t*u*y*z - 2*t*z - 6*u*y**2 - u*y*z - 3*y**2*z + z wrt t.\nAnswer: 41*u*y**2 - u*y*z - 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2\/(-29) + 16858590\/290?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 111 - 96. Suppose -27 - 18 = -b*u. Factor 0*i**u - 9\/7 + 3\/7*i**4 - 24\/7*i - 18\/7*i**2.\nAnswer: 3*(i - 3)*(i + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes before 2:46 AM?\nAnswer: 3:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 337327 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*t**3 + t**3 - 6*t**3 + (-t**2 + t**2 - t**2)*(-t - 4 + 4) - 3*t**3 - t**3 + 2*t**3 + 12*t**3 + 93 - 89 + t**3 as a + n*t**2 + g*t**3 + d*t and give g.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 12:31 AM?\nAnswer: 10:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*u - 0*u - 0*u. Suppose 5*q - n - n - 1912 = u, -5*q = -5*n - 1900. Suppose 4*z - y = 359, 4*y - q = z - 5*z. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 2 a when four letters picked without replacement from {a: 5, b: 6, k: 4}?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -q**4 + 267*q**3 - 3*q**2 - 3*q**5 + 4*q**4 + 0*q**4 - 264*q**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-22)\/(-30) + (-6)\/15. Let s = -3141 - -3060.72. Let f = 80 + s. Put f, q, 0.2 in ascending order.\nAnswer: f, 0.2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 131 - 68. Suppose 0 = -4*g - q + 263. Is g a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 369595 is divided by 137?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2626)\/8 - (-5)\/4. Let l = a + 340. Calculate the greatest common factor of l and 117.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(16)\/(sqrt(432)\/sqrt(6)) - (-4 + sqrt(22)\/(sqrt(22)\/(sqrt(2) - sqrt(2)*-1))).\nAnswer: -4*sqrt(2)\/3 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 2*t**2. Let u(f) = -92*f**2. Calculate o(u(a)).\nAnswer: 16928*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f. Let l(j) = 5*j - 6. Let h(z) = -l(z) + 4*t(z). Let u be h(4). Factor 82*q - 167*q - 2*q**2 + 2*q**4 - u*q**3 + 87*q.\nAnswer: 2*q*(q - 1)**2*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -2*y**3 + 5*y**2 - 6. Let v be (-13)\/(-13) + 1*4. Let g(q) = 2*q**3 - 6*q**2 + 7. Let k(p) = -2*p - 6. Let b be k(-6). What is b*h(r) + v*g(r)?\nAnswer: -2*r**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 50\/11 and 61\/1207173.\nAnswer: 1207173","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 510 + -509.5. Which is the second smallest value? (a) n (b) 4 (c) 0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106*f + 188*f + 1325 - 10733 = 0 for f.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the third derivative of 91*k**4\/24 - 29*k**3\/2 + 41*k**2 - k. What is the derivative of b(f) wrt f?\nAnswer: 91","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13.6 - 0. Let p = d + -5.68. Round p to 0 dps.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1698325 or -1698327?\nAnswer: -1698327","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 4*a + 28, -a + 4*a - 3 = 0. Suppose -3*s - 2*v = s - h, -3*v - 18 = -s. Solve -5*o + 20 = 2*y, -s*o + 4*o + 5*y - 21 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.5 - -2104713.\nAnswer: 2104711.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -98*c**2 + 45*c - 41 - 38*c**2 + 133*c**2. What is b(14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8022 - 4220. What is the tens digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 + 6*v**2 + v - 2. Give m(5).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 288813*q - 253646?\nAnswer: 288813","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 - 8903981290.\nAnswer: -8903981290.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -2*r + 5*w, 5*r - 4*w - 10 - 19 = 0. Suppose -r*u = -6*u + 8. What is the lowest common multiple of u and 14?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 1551*k**3 + k**2 + 43*k - 44. Let b be m(1). Solve -1544*h - 35 = -b*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11106 - 8272. What is the greatest common factor of r and 1090?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + r = -7*v + 1332, -5*v + 5*r = -1690. Calculate the lowest common multiple of 12 and v.\nAnswer: 2004","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112842 is divided by 269.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18.1 or 80\/13?\nAnswer: -18.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*d - 2 = -18*d. Let r(f) = 14*f**2 + 7*f + 7. What is the remainder when 55 is divided by r(d)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.2 + 0.2. Which is the nearest to 1\/3? (a) 4 (b) 0.2 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -2*x**3 + 15*x**2 - 8*x - 4. Let j(n) = n**2 - 1 - 8*n - 2 + 9*n**3 + 14*n**2 - 10*n**3. Let t(p) = 4*j(p) - 3*z(p). Factor t(l).\nAnswer: l*(l + 8)*(2*l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 142 or -2.4?\nAnswer: -2.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -572, -1147, -1720, -2291?\nAnswer: -2860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 - 40 - -12 - (-1 + -7 - -2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 11476*y**2 + 8 + 1 + 11473*y**2.\nAnswer: -3*y**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -27 + -39. Let w = q - -64.92. Round w to 1 decimal place.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a century in years?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4.25 + 0.25. Let l = -0.83 + 0.73. Let y = 2 + 0. What is the closest to y in l, m, -1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/10 and 5\/21.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 + 14. Suppose o*b + 3 = -4*y + 1, -5*y - b = -8. Solve 2*p - 2 = y for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) 3\/5 (c) 2\/15 (d) -5863895\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (326832\/1320)\/(4\/30)?\nAnswer: 3, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10302102320 (base 4) to base 10\nAnswer: -1254584","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ihylyycylhyylyhyyi. What is prob of picking 1 l and 1 y?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**2 + 6*f - 6. Let l be v(4). Let x = l + -2. Solve -3*r - 6 = -x*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 22*y**3 - 2*y - 17.\nAnswer: 66*y**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 10*v + 12 = -9*v, -3*v + 16 = -b. Sort -7, 4, b in increasing order.\nAnswer: -7, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 420\/(-24)*((-192)\/30)\/4.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 2*z + 7. Let v(u) = -u**2 + 38*u - 136. Let o be v(34). Suppose o*r - 42 = 6*r. Calculate f(r).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooooooouooooo. What is prob of sequence ouo?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 390, 2, -48, -2 in descending order.\nAnswer: 390, 2, -0.3, -2, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 300076 divided by -4.\nAnswer: -75019","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -12*f**4 - 8*f + 10*f**2 + 12*f**2 - 10 + 2 - 6*f**4 + 12*f**3 = 0.\nAnswer: -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 216753 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2031 to the power of 1\/2, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 74.1 and 51.11?\nAnswer: 3787.251","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4532514 + 2425?\nAnswer: -4530056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of j*n**3 - 4*j*n**2 + 191*j*n - 3439*n**3 - n**2 - 4*n wrt n?\nAnswer: 6*j*n - 8*j - 20634*n - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*y + 16*y = 0. Let r be (y + -6)\/((-3)\/2). Suppose -q = -3*c + q + 101, 5*c - r*q - 165 = 0. List the prime factors of c.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the first derivative of -s**3 - 9*s**2 - 27*s + 7. Factor w(f).\nAnswer: -3*(f + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 175960379?\nAnswer: 7, 131, 311, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5c (base 13) in base 6?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75832978.\nAnswer: 2, 13, 23, 211, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 34609911 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 34, 18, 8, -3, -7 in increasing order.\nAnswer: -7, -3, 8, 18, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*r + r + 36 - 7*r)*(-1 + 1 - 2*r).\nAnswer: -2*r**2 - 72*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 2 = 4*l - 6, 0 = 5*l - 2*s - 9. Suppose -23 = -4*g - 15. Solve -q - 11 = -4*n, 2*n + l = -g*q - 1 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 47 + -24. Let c = 27 - b. Calculate the least common multiple of c and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/(h\/(h*((h\/(h*h**(-22))*h)\/h)\/h)))**(-5\/9)*(h*h*h\/((h**21*h)\/h*h))\/(h*h*h**(-8\/3)))**(30\/11) assuming h is positive.\nAnswer: h**(-2800\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 19*i**3 + 2*i**2 + 2*i + 1. Let u be c(-1). Let p be (27\/u)\/(1\/2). What is the second smallest value in p, 2\/11, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**1*n*n**(2\/3)*n)\/(n**(-4)*n**(-2\/7)*n) assuming n is positive.\nAnswer: n**(146\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 - 5*s**2 - 4*s - 6. Let c = -79 + 75. Determine b(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000057161 rounded to 6 decimal places?\nAnswer: 0.000057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 1 + 2*x - 4*x + (-218*x + 125*x + 142*x)*((3 - 4 + 0)*(-6 + 3 + 4) + 31 + 2 + 37) to the form s + z*x and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2)\/(-6))\/(((-133)\/(-105))\/19) + 62450 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5705.99995639 + -5706. Round q to 5 decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, -0.03, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - j - 214 = 0, -149 = -m - 5*j - 51. What is the remainder when 655 is divided by m?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -147 + 146.939. Let s = z + 17.061. Let m be ((-15)\/(-12))\/((-3)\/6). Sort s, -0.4, m in ascending order.\nAnswer: m, -0.4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1932, 4772, 7612, 10452?\n\"Answer: 2840*o - 908","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 5*r - 12. Let a be c(9). Let w be -6 - -3 - (-53)\/a. Let i = w + 8\/11. What is the biggest value in -1, i, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -701287\/12 or -58440?\nAnswer: -701287\/12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 5) in base 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 + 4 + 1\/(-1). Let y = t - 1. List the prime factors of (-2 + y)\/1 + 11.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/4 + (-39)\/(-12). What are the prime factors of -19*(t - -1)\/(-1)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -76 + 75.9. Is c < -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hzhhzz. Give prob of picking 2 z and 1 h.\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 176485 and 25?\nAnswer: 176460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.07+0.22335824\nAnswer: 0.15335824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (28\/(-16) - -2)*-2. What is the biggest value in -3\/7, 0.4, q?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 42\/5 of a meter?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 6*y**3 + 7*y**2 + 4*y + 8. Is a(7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 6*k**3 + k**2 + 6*k + 11. Let u(m) = -194*m**3 + m - 2*m - 198*m**3 - 2 + 391*m**3. Determine -11*u(a) - 2*z(a).\nAnswer: -a**3 - 2*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -58196 to the nearest one thousand.\nAnswer: -58000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -1478*t - 3109. Is d(-7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 204700 and 2?\nAnswer: 204700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -d**3*g**4 + 183*d**3*g**3 - 2*d**3 - 36*d**2*g + 4*d*g wrt g.\nAnswer: -12*d**3*g**2 + 1098*d**3*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 5*j - 57, -2*l - 30 = -2*j - j. Suppose -j*g = -7087 - 437. Is g a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/4*(-181)\/3258.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*y + 2*y + y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 2*j**3 + 76*j**2 - 147*j + 519. Let f be u(-40). Sort 2, -5, f, -3, 7.\nAnswer: -5, -3, f, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - 25512?\nAnswer: -25504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -538548 (base 11) to base 10\nAnswer: -860483","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 21964 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 2 - 170*l**3 + 171*l**3 - 15*l - 8 - 8*l + 15*l**2. What is the remainder when o(-16) is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8\/19 - 6\/19. Is o equal to 3\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 5*u - 1. Suppose -u*g = 2*g - 10. Suppose -4\/3*c**5 + 1\/3*c**g + 0*c - 1\/3*c**4 + 0 + 4\/3*c**3 = 0. Calculate c.\nAnswer: -1, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kbgvbgfv. What is prob of picking 2 g, 1 v, and 1 f?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5597?\nAnswer: 29, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12.9 + -13. Let v = 1.5 - 2. Put w, v, -2\/11 in decreasing order.\nAnswer: w, -2\/11, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/105*2)\/((-8)\/6)*-4.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 23418400 by 40100.\nAnswer: 584","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -301 take away 35517.34263?\nAnswer: -35818.34263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 70*t - 14*t - 18*t - 299*t**3 - 14*t - 22*t to the form c*t**3 + v*t + r*t**2 + p and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-70)\/182*19 - -7. Put b, 1, -0.3, -8 in ascending order.\nAnswer: -8, b, -0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-21)\/28)\/(((-1)\/(-4))\/(-1))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9064*-63.\nAnswer: -571032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 + -3. Let k = 2.25 - h. Let x = k + 0.637. Round x to two dps.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001497426097 to 4 decimal places.\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 51410 at least -6337?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a meter in millimeters?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 456\/95 + (-136)\/1020.\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -58 - 11?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 6, q: 2, z: 9}. What is prob of picking 2 z and 1 q?\nAnswer: 9\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -7.8 > 1.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 31 by -3425522.\nAnswer: -31\/3425522","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88 = -r + 2*h, 0*h = 5*r - 2*h - 440. List the prime factors of r.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the second derivative of -c**7\/4200 - c**6\/900 - c**5\/600 + 2*c**3\/3 - 5*c. Let s(a) be the second derivative of r(a). What is q in s(q) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the second derivative of -w**5\/20 + 2*w**4\/3 - 2*w**3\/3 - 4*w**2 - 5*w. Suppose -72*k + 272 - 127 = -359. Give s(k).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nr when two letters picked without replacement from {p: 4, r: 2, n: 5}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/8*492\/369)\/((-6)\/26).\nAnswer: 13\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -4*x**5 - 528*x**4 + 10556*x**3 + 59688*x**2 - 523552*x - 572160 = 0.\nAnswer: -149, -8, -1, 6, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 12 - -13580724?\nAnswer: 13580736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:25 PM and 12:32 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 545532.6 centimeters?\nAnswer: 5.455326","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyryryyyyryy. What is prob of picking 2 r?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(120)\/((sqrt(120) + (sqrt(120)*-1 - sqrt(120)))\/sqrt(10)))\/((sqrt(70)\/(sqrt(49)\/sqrt(7)))\/sqrt(2)).\nAnswer: -sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1875 and 21182025?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 9*y**5 + 33*y**4 + 16*y**3 - 40*y**2 - 16*y + 16 = 0. What is y?\nAnswer: -2, -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 4*t = -68, 2*m + 2*t = t + 31. Suppose 0*h - m = -7*h. Solve h*g = -g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (8 + -8 + 4)\/(-2). Let c be (-3)\/(-9) - ((-28)\/(-12) + h). Solve 2*y + 2*y + 4 = c for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11370 * -0.093.\nAnswer: 1057.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -49964 or -1648805\/33?\nAnswer: -1648805\/33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-584)\/588 - -1)\/(5\/(-355)) and 117\/14?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 88340784 and 168.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*(-6 + 36) - -3. What is the highest common divisor of 528 and k?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 6*b**3 - 2*b**2 - 11*b + 8. Let r(t) = t**2 + 9*t - 2. Let g be r(-10). Let u(s) = -4*s**3 + s**2 + 7*s - 5. Give g*u(k) + 5*y(k).\nAnswer: -2*k**3 - 2*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express f**2 - 1 - 1303*f**3 + f + 1301*f**3 + f**4 - 2*f as l + a*f**3 + c*f**4 + b*f + j*f**2 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/119? (a) 4 (b) 393\/8 (c) 41\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/21 + 0 - (-8240)\/(-1680)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 35, -1, 5, -432, -3, -10 in decreasing order.\nAnswer: 35, 5, -1, -3, -10, -432","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**2 + 51*j + 222. Let f be u(-4). Let z(i) be the second derivative of 0*i**f + 9\/4*i**4 - i**3 - 5*i + 0. Factor z(g).\nAnswer: 3*g*(9*g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30 divided by -44.\nAnswer: -15\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1031*i - 1026*i = 2*k + 4, -5*i + 8 = -4*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 713 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -106.5853998 rounded to 2 decimal places?\nAnswer: -106.59","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3 and 22.10281897.\nAnswer: 25.10281897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 130020454?\nAnswer: 2, 17, 71, 53861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2561, -4.\nAnswer: -2561, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/37 smaller than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -26 - -23bb6e?\nAnswer: 23bb48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1964, -2075, -2198, -2339, -2504, -2699?\n\"Answer: -u**3 - 104*u - 1859","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 3 = -2*t. Let q(s) = -10*s - 5. Let i be q(-2). Suppose i*z = 11*z + 36. Calculate the highest common factor of z and t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.08 + -0.32. Let p = -17 - -12. Which is the third smallest value? (a) o (b) p (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j + 8 - 11*j - 57*j + 66*j. Let a be (-2)\/7 + (-122)\/14. Determine v(a).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 73 in 0.1, 0.06, 0, 0.0225, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.1 - 3.9. What is the closest to 2\/3 in 0, r, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 142 divide 4125928?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 508796309?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 623*s - 195*s - 226*s - 195*s.\nAnswer: 7*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-240)\/(-12) - 9 - 19)\/(4\/(-26))\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 5*z = -2*j - 25, 5*j = -3*z + 34. Suppose -j*r + 338 = -297. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 20 = 5*s, -2*n - 7*s + 14 = -5*s for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -302*k**2 + 572 - 572 + (-2 + 2 + 2)*(-2*k**2 + 2*k**2 - 2*k**2) as o*k**2 + n*k + t and give o.\nAnswer: -306","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 - -18*273\/(-117)*36\/63?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 72 - 277. Let s = p - -296. List the prime factors of s.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -7b - -36?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*q**3 + 170190*q - 757 - 170190*q to h*q**3 + o + u*q**2 + j*q and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -6*w**2 + 4*w + 5. Let o be n(4). Let u = o - -102. Find the common denominator of 109\/18 - 6\/u and 83\/36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 5*j - 2 = 43, 5*x - 25 = 5*j. What is the third smallest value in 0.1, -6\/5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f**5 - 2*f**5 - 3*f**5)*(-177 + 1 - 208 + (4 + 0 - 6)*(1 - 1 - 2)).\nAnswer: 760*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*m + 6*m + 4 + 7*m)*(-12 - 2 - 4).\nAnswer: -36*m - 72","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4683173 to the power of 1\/2, to the nearest integer?\nAnswer: 2164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - b - 39 = 0, 117 = -8*i + 3*i + 4*b. Let p = i - -37. Suppose -p = -5*j + j. Solve 3*r + r + j = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.116 times 3\nAnswer: -0.348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -31 in -2\/5, 3, -1\/7, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6475*p + 5911?\nAnswer: 6475","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -26*r**4 + 2342*r**3 - 8314*r**2 - 70862*r + 162540 = 0. What is r?\nAnswer: -5, 27\/13, 7, 86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1190\/(-36)*(10 + 485\/(-50)) and -63\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-117058)\/(-4494) - (-1)\/(-21)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 6fe7 (base 16) to base 3\nAnswer: 1110022000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -7317 divided by 6229\nAnswer: -7317\/6229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 504 - 504. Let s be (3\/(-9)*p)\/(-2). Solve 4*m - 8 = 2*r, s = -0*m + m + 5*r - 2 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 + 7. Is 12 a factor of c\/((-1 - -2)\/12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 2*z - 3 - 7 = 0, 5*z + 8 = -4*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 24838 by 12419.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -202 (base 3) to base 8.\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4012 - 88201\/22. Find the common denominator of ((-105)\/(-36) + -3)\/(8\/68) and l.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 23*j**2. Let v(w) = -w**2. Determine v(u(p)).\nAnswer: -529*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1052293268 is divided by 568?\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 43104334?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 45.6 - 46. Which is the biggest value? (a) -0.1 (b) -0.03 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1763 divide 4129905?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 13\/(-2)*(240\/5)\/8. Let o = h + -1. What is the remainder when 46 is divided by 5 + 3*o\/(-6)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -40*o + 76. Let u be b(-7). Suppose -3*d + 1415 + u = 5*f, 0 = 4*f - d - 1410. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 11*i + 51. Let r(l) = -6*l - 26. Let n(x) = 9*r(x) + 4*t(x). Let q be n(6). Which is smaller: q or -91?\nAnswer: -91","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -39301\/6 - -6572. What is the common denominator of -69\/8 and s?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-15)\/10)\/(6\/32). Let b(n) = n + 12. Let q be b(w). Suppose -q*t - 61 = -5*t. Is 25 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = 3*r, -k + 6*k = -2*r. Let g(c) = 2*c - 4*c + 16 + c - c**2. What are the prime factors of g(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -9*s**2. Let p(x) = x - 3. Let l(c) = 2*c - 5. Let v(j) = -6*l(j) + 10*p(j). Determine d(v(y)).\nAnswer: -36*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.4 and 11.95079?\nAnswer: 16.731106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-37)\/148 + (-6)\/8. Put 4, r, 2, -53 in increasing order.\nAnswer: -53, r, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -32 - -25. Calculate the common denominator of -31\/43 and v\/(-35) + ((-219)\/10)\/3.\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 5243772?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 + 5115655245?\nAnswer: 5115655245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 2*d**3 + 73*d**2 - 27*d - 4626. Calculate m(-35).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 + 4*p**2 + 4*p + 10. Let d be n(5). Calculate the common denominator of 86\/144 - (d + -6) and 5\/8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**2 - 9*s + 10. Suppose 4*k = -16 + 48. Let m be q(k). Suppose -8 - 20 = -m*y. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 2156128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 1 + 2*b - 3 - 6*b. Let f(y) = -y**3 - 4*y**2 - y + 3. Let o be f(-2). Determine r(o).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 24018*v**2 - 23990*v**2 + 5 + 3 - 1 + 48045*v**2.\nAnswer: 37*v**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 7*j**2 - 7*j + 4. Let k(l) = 8*l**2 - 8*l + 5. Let p(o) = -7*b(o) + 6*k(o). Let u be p(2). Let a = 0 + 4. Solve a*n + u*n + 4 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -94 by -10872.\nAnswer: 47\/5436","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -371876 less than -277?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, m: 5, y: 1, o: 1, n: 2, s: 3}. What is prob of sequence ms?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 5*(-3)\/((-120)\/56)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 387 is divided by 39.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.1, 0, -2\/15, 3\/8 in descending order.\nAnswer: 5, 3\/8, 0.1, 0, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**2 + 2*r. Let v be s(3). Let j be -2 + 1 + v + 716. Suppose -j = -9*a + a. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.05, -1, 2?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0966396534 to 2 dps.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - 5 - (0 + (-3 - 1)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the third derivative of 5*w**2 - 1\/4*w**4 - 5\/6*w**3 + 0*w + 0. What is the derivative of a(c) wrt c?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*m - 12*m**2 - 2*m + 8*m**2 wrt m.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -139*j + 1635 = -136*j. What are the prime factors of j?\nAnswer: 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 30\/(-135)*(-2)\/(-7 - -3)*6. Let x = -8.12 - -0.12. Which is the second smallest value? (a) y (b) x (c) -0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the third derivative of 1\/3*z**5 + 0*z**4 + 1\/40*z**6 - 2*z**2 + 0*z**3 + 0 + 0*z. Find the third derivative of f(x) wrt x.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -143\/336852 and 3\/1690.\nAnswer: 284639940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:29 PM and 7:25 AM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -2*l**2. Let p(d) = d - 207. Give o(p(w)).\nAnswer: -2*w**2 + 828*w - 85698","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 251214720 to the power of 1\/2, to the nearest integer?\nAnswer: 15850","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 143 and 1904383?\nAnswer: 20948213","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*b - 4*b. Let u = b - 2. Suppose -18 = -3*m + 4*g - 0*g, u = 5*m + 3*g. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/(m*m*m**(-8)*m))\/((m\/(m*m*m*m**2)*m*m)\/m))\/(m**3)**(3\/11))**(10\/7) assuming m is positive.\nAnswer: m**(900\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 2*u**3 + 13*u**2 + 6*u - 8. What is w(-6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/536 and -48\/2747?\nAnswer: 21976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 u when three letters picked without replacement from xyuefyuif.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (10 + -7 + -6) - 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a tonne in kilograms?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = s - 4*y + 50, -18*s + 7*y = -21*s - 150 for s.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - 1 - (124 + -3) - (3963 - 3960)?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 897 by 2.\nAnswer: 897\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one quarter of a week?\nAnswer: 2520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/157030 and -103\/15320.\nAnswer: 628120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13773?\nAnswer: 3, 4591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*w = 151*w - 366444. Calculate the lowest common multiple of 3016 and w.\nAnswer: 9048","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*((i*i*i*i**14*i)\/i)\/i)*i*i)\/(i\/(i\/(i*i**(-19))*i)*i*i)*(i**(2\/21))**45 assuming i is positive.\nAnswer: i**(51\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -3*n - 7. Let f be m(-3). Is (-318)\/10*f*5\/(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the second derivative of 0*v**2 + 17\/12*v**4 + 9\/10*v**6 + 0*v**5 + 0*v**3 + 25*v + 0. What is the third derivative of z(p) wrt p?\nAnswer: 648*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-8)*-2)\/(122\/(-1220))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.017 - -2.983. Which is the nearest to -0.8? (a) -5 (b) -1 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -11*m + 3. Let x = 10 + 30. Suppose -5*j - 15 = -5*o - x, -o + 7 = 5*j. Does 13 divide b(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*w - 6, -4*z + 2*w = -8. What are the prime factors of (8\/(-6))\/(z\/(-1494))?\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -4\/5 (b) 293\/6 (c) -1951\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -2, 4, 27, 0.2, 1\/10?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u = 3*u + 20. Let l be (22\/(-33))\/(u\/(-114)). Is 23 a factor of (l - 15) + (0 - -42)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -7*t**3 + 8*t**2 - t + 1149. Let b(d) = 19*d**3 - 22*d**2 + 4*d - 3445. Let x(s) = 4*b(s) + 11*i(s). Differentiate x(c) with respect to c.\nAnswer: -3*c**2 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -45*((-30)\/25 - 0\/(-2)). What is the second derivative of -6 - 31*f**2 + 2*f - 86*f**2 - i*f**2 + 30 + 12 wrt f?\nAnswer: -342","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 9, -7.9, -19\/4, -0.4, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 times 20167?\nAnswer: 121002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-17)\/(p\/(p*(p**(2\/61)\/p)\/p)) assuming p is positive.\nAnswer: p**(-1157\/61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 844 and 1477?\nAnswer: 5908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = z + 11*u - 14*u + 6, 5*z + 4*u - 27 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 + 10 - 4) + -5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 3*v + 33. Let x(l) = -8*l - 94. Let n(u) = 11*h(u) + 4*x(u). Let r(f) = f**2. Calculate r(n(a)).\nAnswer: a**2 - 26*a + 169","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*t**3 + 3 - 3 + (-2*t + t**2 + 2*t)*(2 + 2*t - 2) + (-3*t**2 + 1 - 1)*(-2*t + 3*t + t).\nAnswer: -7*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -609*o = 13*o - 6936 - 7992 for o.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 - k**2 - k + 1. Let x be u(1). Suppose x = 2*q - 29 - 11. Calculate the lowest common multiple of q and 16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -16*o. Let r(u) be the second derivative of -u**3\/6 + 75*u**2\/2 - 161*u - 5. Determine i(r(z)).\nAnswer: 16*z - 1200","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 30 = -453*s + 456*s, 5*s - 14 = -3*h. Let t(y) = 57*y**2 - 3*y - 3. What is the remainder when t(3) is divided by h?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 - 7*c**2 - 6*c - 2. Let h be m(-6). Let j be -1*(-5 - h) + -1. Let x(y) = 19*y - 1. Is x(j) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8621 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -99, -202, -305?\n\"Answer: -103*m + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2661703321 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -13) + -11 + -10.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6091 + 7386 = 163*t + 6957 for t.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -75 + 77. Let v(y) = -r - 5 + 273*y + y**2 - 292*y. Determine v(19).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, i: 7}. What is prob of picking 4 i?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in 0.2, 1, 35, -0.48, 2?\nAnswer: -0.48","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 270440728?\nAnswer: 2, 33805091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 + 429ba04?\nAnswer: 429b9cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:20 PM and 8:11 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 + 4)\/5*(-1 + 0). Is -1 less than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 divided by 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 4 + 16379*j - 16499*j as r*j + p and give r.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (1\/((-9)\/53))\/((-6578)\/897) and -55\/138?\nAnswer: 1518","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/((l\/l**(-2\/9))\/l*l))**(-1\/44)*l**(-1\/20)\/((((l\/(((l\/(l\/(l**(3\/10)\/l*l*l)*l*l))\/l)\/l))\/l)\/l*l)\/l) assuming l is positive.\nAnswer: l**(-691\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 66 and 36976478.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 221*c**2*k*x**2 + 2*c**2*k*x + 7*c**2*x**2 + 2*c**2*x - 14*c*k*x**2 - 125*c*k*x - 1442*c*x wrt x?\nAnswer: 442*c**2*k + 14*c**2 - 28*c*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1764165 to the power of 1\/2, to the nearest integer?\nAnswer: 1328","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 - 8*a**2 - 8*a + 3. Suppose 3*o = 1 + 5. Calculate the smallest common multiple of o and s(-7).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 170550?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -61 + 35. Let d be 2*u*-1*(-24)\/(-96). Factor 0*f**4 - 3*f**4 + d*f**3 - 10*f**3 + 6*f**2.\nAnswer: -3*f**2*(f - 2)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 440 + 355531?\nAnswer: 400411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**1\/n)**6*(n*(n*n\/(n\/(n\/n**(-3))))\/n)**36 assuming n is positive.\nAnswer: n**180","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l - 2*i - 2*i + 12, 3*i = l + 1. Solve -3*r - 17 = -l for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-10))\/(24\/(-20)*1).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-44)\/33*(-30)\/8 + -37. Let l be ((-68)\/q)\/(4\/32). Let j be (3*(-67)\/(-4))\/3. Is j != l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1\/3 - 0. Let b = 0.2 + -8.2. Let q = b - -6. Does j = q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -250.48 (b) 1 (c) 26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 73782.42 decades?\nAnswer: 7378.242","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6.4 - -11.4. Sort o, 3, 8.\nAnswer: 3, o, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = -3*u + 21, -135*i = 5*u - 132*i - 11 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -1. Let o(s) = -2*s + 10. What is 5*a(g) + o(g)?\nAnswer: -2*g + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 44\/5 of a millennium?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 20, -9*v = 2*s - 7*v + 8. Solve s = 38*t - 103 - 49 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1316361 divided by -1?\nAnswer: -1316361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 246744, 249481, 252218, 254955?\nAnswer: 257692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -62354740 and -4.5.\nAnswer: -62354744.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85)*3*3)\/((-2*sqrt(35) + sqrt(35))\/sqrt(7)).\nAnswer: -9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*d + 29*d - 12 = 0. Suppose k - 72 - 8 = -5*i, d*k = 2*i + 172. Does 17 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u - 3*o + 42, -3*u + 3*o = u - 77. Is 2 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 95 and 451820.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12888400 is divided by 29?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -99*o + 192*o - 92*o. Let b(u) = 8*u**2. Determine s(b(h)).\nAnswer: 8*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/3)\/(35*6\/90).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 880 and 110.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 198 - 187. Calculate the common denominator of (-494)\/(-160) + (-2)\/5 and (-6)\/(-16)*m\/(165\/430).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -1. Let f(m) = -m + 23. Let l(z) = f(z) + 2*q(z). Let w be l(14). What is the second derivative of 4*t - t + 3*t**5 + w*t + 2*t wrt t?\nAnswer: 60*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -11313615 + -1?\nAnswer: -11313616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 347 = -4*u, -17*s - 92 = -u - 12*s. Calculate the remainder when u is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -21.9 and 40.4.\nAnswer: -884.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.201605 and -0.4.\nAnswer: -0.601605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 10:16 PM?\nAnswer: 4:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10*z**3 - 3*z**3 - 15*z**3)*(-3 - 3 + 4 + (5 + 1 - 4)*(3 - 4 + 3) - 3 + 1 + 1) to the form f*z**3 + n*z**2 + h*z + g and give f.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3025214 to the nearest integer?\nAnswer: 1739","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -0 + 2. Let z = 4565069\/30 - 152175. Calculate the common denominator of ((-65)\/21)\/q - -2 and z.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:04 PM and 3:14 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q**5 - 12*q**4 - 4*q**3 + 28*q**2 - 16 = 0. What is q?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.138 (b) 4 (c) -40.94\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(121) + 5*-2*sqrt(121) + sqrt(121) - sqrt(121))\/(sqrt(22)\/(3*sqrt(2) - sqrt(2)) + sqrt(11))*1 + 3 + -5)**2.\nAnswer: 24*sqrt(11) + 400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 260 divided by 5\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -32630, -130488, -293584, -521918, -815490, -1174300?\n\"Answer: -32619*o**2 - o - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 12 = 5*b, -5*b - 11 = 2*w. Solve -1 = c, 8 = 4*m - 6*c + w*c for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 + 3)*(-5 + 5 + 2)*(0 - 1 + 6)*(1 + 3 - 1)*(-2*q**2 + 0*q**2 + q**2).\nAnswer: -180*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -536492 divided by -11?\nAnswer: 48772","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 - -6. Let q(a) = -a**3 - a + 1. Let f be q(l). Let z = 24 + f. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 18775369, 18775371, 18775373?\n\"Answer: 2*m + 18775367","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 943213, 943212, 943211?\n\"Answer: -c + 943214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = c - 1, -1 = -3*c + 2. Let k(b) = 4*b + 20. Calculate the remainder when 30 is divided by k(n).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 0 + 2*c**4 - 5*c - 1 to the form s*c**2 + u*c**4 + m*c + t*c**3 + f and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a millimeter in nanometers?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 6*q - 1. Let i(g) = -49346*g. Give i(r(f)).\nAnswer: -296076*f + 49346","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**3 + 11*z**2 - 13*z - 6. Calculate b(-12).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 928200293, 1856400588, 2784600883, 3712801178?\n\"Answer: 928200295*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 53.90001365 + -53.9. What is g rounded to five dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 2*y - 10 = 0. Let m(t) = -t**3 + t**2. Let a = 14 - 16. Let j(w) = -w**3 - 4*w**2 + 8*w - 6. Let s(v) = a*m(v) + j(v). What is s(y)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -649 or 2?\nAnswer: -649","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from kqkkkkqooo?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, w: 2, u: 1, i: 1, n: 2, s: 2}. Give prob of sequence jui.\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 49896 and 27333?\nAnswer: 151534152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5722 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 5580, 22621, 51024, 90789, 141916, 204405, 278256?\n\"Answer: 5681*w**2 - 2*w - 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 + (10 - -46 - 5).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8391 + -8391. Let s be -1 + 1 - 5\/(-18). Which is greater: t or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*-3.105\nAnswer: -1.5525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20269879 is divided by 39?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 20 = -5*j, 4*a + 5 - 19 = -2*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 460 and 276.\nAnswer: 1380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 60 = 4*r, k + 22*r - 11 = 17*r. Calculate the smallest common multiple of 18 and k.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (u + 0 + 0 + (-2 + 2 - 2*u)*(2 + 2 - 3))*(4 - 18 + 9) as q*u + k and give q.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7003 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + 5*m - 3. Suppose -16 = g - 4*r, m*g - 2*r + 8 = 2*r. Suppose -5*l + 4*f - 7 = -37, 5*l + g*f = -10. Solve 0 = l*v - 3*v + 5 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 22 (b) 0.1 (c) 4\/7 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -1753*g + 8305. Calculate i(4).\nAnswer: 1293","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 71 + -66. Suppose -v = -z - 3. Solve 5*k = 3*k + z for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, -0.5, 84.65?\nAnswer: 84.65","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 + 1. Let i(f) = -3*f**3 + 12*f**2 + 14*f + 16. Let q(l) = 4*g(l) + i(l). Let h be q(-11). Let k = -5 + 4. Sort k, -3, h in increasing order.\nAnswer: h, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 295.28454 months to millennia.\nAnswer: 0.024607045","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 31430 = -5*n, 3*n + 5*h - 14135 = 4723. Does 8 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 187*g**2 - 159*g**2 + 2 - g**3.\nAnswer: -g**3 + 28*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 39 + -27. Let w(x) = x**3 - 8*x**2 - 2*x - 4. Let n be w(d). Suppose -5*q - n = -3223. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9009518 and 88134.\nAnswer: 794","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -24665480\/17 > -1450912?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 20 = 8*z. Suppose 3*h - z*a = -14, -2*h + a = -2*a + 10. Let j be (-54)\/(-12)*h\/(-3). Solve -n = j*n - 16 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11677786 = r + 3*p, -3*r - p + 35033334 = -0*p. Let a = 11222223 + r. Round a to the nearest one million.\nAnswer: 23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9*-0.0198\nAnswer: -0.1782","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 186 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes after 5:00 PM?\nAnswer: 7:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 230 - 327. Let t = -97.124 - d. Let y = t - 2.876. What is the nearest to 3\/16 in 0.3, -2, y?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*a - 2*a. Suppose 3*d - l - 2533 = -0*d, 0 = 2*d + 2*l - 1702. Let n = d + -39760\/47. Which is bigger: a or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11459448 by 378.\nAnswer: -30316","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 1 - 2*d + 2*d**2 + d - 5*d. Let t be x(5). Let u = -5 + t. Solve 3*j + 8 = -3*y - y, u = -3*j + 4*y for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 609 = -5*u + 123, 772 = 5*u + 4*p. What is the remainder when u is divided by 135?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*m**4 + 5*m**3 + 5*m**2 - 5*m.\nAnswer: -5*m*(m - 1)**2*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the third derivative of -1514*j**7\/105 - 2243*j**3\/6 + 1591*j**2 - 2*j. What is the first derivative of l(x) wrt x?\nAnswer: -12112*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4253 + -4176. Calculate the highest common divisor of 168 and i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 20 - 8)*(56*a + 17*a + 4*a) - 4 + 2*a + 4.\nAnswer: -2231*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) 16 (c) -0.5 (d) -85 (e) 0 (f) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -724 - -723.6. Let u be -2 - (1 - 2996\/304). Let i = -78\/19 + u. Put m, i, 2 in descending order.\nAnswer: i, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i**3\/5 + 129612*i**2\/5 - 2854072*i\/5 - 4357920 = 0.\nAnswer: -32425, -6, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the first derivative of p**2\/2 + 16*p + 3. Let u be b(-15). Let a = 49 - 53. Sort a, -2, -8, u.\nAnswer: -8, a, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5864, 11776, 17686, 23594, 29500, 35404?\nAnswer: 41306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 6 + 1)*(2*s - s + 0*s) + (5*s - s - 3*s)*(3 + 0 - 2) to the form y*s + n and give y.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -495375813*p**2*u - 2*p*u + 725076573*p wrt p?\nAnswer: -990751626*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1663, 3324, 5007, 6724, 8487, 10308?\n\"Answer: 2*m**3 - m**2 + 1650*m + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 31 = n + 2*s, 3*n + 3*s = 33. Suppose 0 = 3*y - n*y. Suppose y*q = 2*q - 290. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -34*v**2. Let m(h) = -14*h**2. What is m(x(b))?\nAnswer: -16184*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 plus 11592149?\nAnswer: 11592149.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 2142 = -30*t. What is the remainder when 306 is divided by t?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, l: 3, g: 3}. What is prob of picking 2 g?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.6821 and 0.3.\nAnswer: 0.9821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -820*b**2 + 2396*b. Let a(j) = -3*j**2. Give c(a(o)).\nAnswer: -7380*o**4 - 7188*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8678?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -2*t + 2. Let y be l(3). Let b be y*((-3)\/6 + 0). Suppose -5*v - 2*d + 41 = 0, -v - 7*d + 22 = -b*d. Does 3 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the first derivative of -u**5\/60 + u**2 + 3. Let l(s) be the second derivative of i(s). Let j(r) = -3*r + 3*r + 0*r + 2*r**2. Calculate l(j(z)).\nAnswer: -4*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/34)\/(15\/(-85))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2706)\/4)\/(-41)*(-1)\/3.\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 716311 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vuhuvhkhkhhjhbbkku. What is prob of sequence bj?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 k, and 2 b when four letters picked without replacement from hhkyhhyhbdhhhbyhhkhh.\nAnswer: 2\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5599*a - 5600*a = 1. Is -143\/5 <= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + -0.1. Let d = 18 + -13. Let b = 9 - d. Put b, -0.4, r in ascending order.\nAnswer: -0.4, r, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = -2*a + 2*o, 2*a = 3*a - 4*o - 38. Solve -5*b - a = u, -5*b + u - 12 = -0*u for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) 10\/9 (c) -2 (d) 195\/616\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 21707*g**2 + 989*g - 793916936 wrt g.\nAnswer: 43414*g + 989","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 65 divided by -6\nAnswer: -65\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-t - t + t)*(2 - 4 + 9)*(0 + 0 - 3*t) + (1952*t - 818*t - 188*t)*(-2*t + t + 2*t) in the form n + w*t**2 + r*t and give w.\nAnswer: 967","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2303\/245 - (-4)\/(-10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(1\/3))\/h)**11\/(h**(1\/8)\/h**(-1\/4)) assuming h is positive.\nAnswer: h**(-97\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 - 5. Let b = 44 + d. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 10:36 PM?\nAnswer: 8:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1127 and 2737.\nAnswer: 19159","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1572 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2595, -2509, -2423, -2337?\nAnswer: -2251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 280.14 rounded to the nearest 10?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4 + (-84)\/(-9))*(-81)\/(-4). Calculate the highest common divisor of 240 and g.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66010571 a multiple of 137?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 256, 776, 1606, 2722, 4100, 5716, 7546?\n\"Answer: -4*p**3 + 179*p**2 + 11*p + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76604*h + 76608*h - 2*i + 38 = 0, -3*i + 43 = -4*h for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 494167 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of -l**3\/3 - 5*l**2\/2 + 17*l - 4595. Determine c(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjjjjjkkkjj. What is prob of picking 2 j and 1 k?\nAnswer: 27\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k = 5*i + 16, 4*i = -18*k + 20*k - 12 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -140*d**5 + 43*d + 66*d**5 + 67*d**5 wrt d.\nAnswer: -140*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 4*s**3 + s**2 - 3*s + 2. What is y(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167931 is divided by 78?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 21 = -3802*p + 3797*p, -2*p - 3*v = -16 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 2 + 0)*(l + 3*l - 10*l) to h + a*l and give a.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zpc when three letters picked without replacement from vgpgzgczzgpg.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65)\/(sqrt(5) + (sqrt(405)*5 - sqrt(405)) + sqrt(5)))**2.\nAnswer: 13\/1444","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t - 2 - 14, -5*t + 664 = 2*l. List the prime factors of l.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-31 + 8 - -9) + 7.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3755, -31556, -107491, -255626, -500027?\nAnswer: -864760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -23.1 - 3.9. Let d = y + 28. Let c be ((-6)\/(-45))\/(8\/(-10)). Put d, c, -0.03 in decreasing order.\nAnswer: d, -0.03, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + (-14)\/3*-3 - (42 + -3).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-156*1) - (-16758)\/(-988).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, m: 4}. What is prob of picking 2 p and 2 m?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4399 + 4403. Which is the closest to -27? (a) 3 (b) -0.5 (c) l (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 12, 0, -1 in descending order.\nAnswer: 12, 9, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-10)\/(-25) - (276\/(-15))\/4. Is 5 at least s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3367467653?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 85320215?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a litre in millilitres?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23 + 61. Suppose -2*x + 905 = p - s, -4*p + 2*x + 3802 = 0. List the prime factors of p.\nAnswer: 13, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -10505, -20955, -31347, -41681, -51957, -62175, -72335?\n\"Answer: 29*s**2 - 10537*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2\/2153 + 152871\/8612. What is the common denominator of 0 - -6*(-15)\/(-4) and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13999 + 13956. Are g and -675\/16 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -175 = -3*r - 2*r. Let x(j) = -j**3 + 7*j**2 - 8*j - 3. Suppose -3*y + 70 = 11*y. Let g be x(y). What is the greatest common factor of g and r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 - -1) + -1 - -2. Let m be 1\/b*(16 - -1). Suppose 0 = -4*z + 91 + 181. Calculate the greatest common factor of z and m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by 1040\nAnswer: -7\/1040","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of -2*f**3\/3 - 11*f**2 + 18*f + 40. Let d be t(-11). Solve -d = -4*o - 2 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + h = 2*n + 69, 3 = -3*h. Let o be n\/(-6) - (5 - 48\/9). What are the prime factors of (-196)\/o*156\/(-26)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -67702, -135424, -203168, -270946, -338770, -406652, -474604, -542638?\nAnswer: -610766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7083.\nAnswer: 3, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 - 2 + 2)*(4 - 2*c - 4)*(3 + 2 - 6).\nAnswer: -16*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**0*t)**(12\/11)*(t*t\/((t\/((t*t\/(t*t**(-1)))\/t))\/t*t))**(-8\/3))**8 assuming t is positive.\nAnswer: t**(-832\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 1897907.72 to the nearest 10000.\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(5) + -4 + 6*(sqrt(5) + sqrt(80)) + sqrt(5))*3)**2.\nAnswer: -2880*sqrt(5) + 46305","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = f + 6, -2*z - 5*f + 2173 = 0. What is the hundreds digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 9994, 9940, 9882, 9820?\nAnswer: 9754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2392?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 + 11 - 23 = 2*l, 2*u + 13 = 4*l + 1 for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1584, -7280, -12976?\nAnswer: -18672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 178249352 and 272.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -139*y - 9385. Determine d(-69).\nAnswer: 206","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 + 33?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4780218 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*k = 15*k. Suppose k = g + 4*t - 33, 3*g = t + 49 - 2. Calculate the highest common factor of g and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29 - 12 + 3*l - 13)*(-2*l**2 + 6*l**2 + l**3 - 2*l**2).\nAnswer: 3*l**4 + 10*l**3 + 8*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(95) - (sqrt(95) + 2*sqrt(95)*-3 + sqrt(95))) + sqrt(95))\/(sqrt(180)*-2).\nAnswer: -4 - sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**3 - 148*u**2 - 992*u - 1856.\nAnswer: -4*(u + 4)**2*(u + 29)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 52 + -12. Suppose -3*u - u = -f. Does 2 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the second derivative of m**5\/60 - m**4\/8 - m**2\/2 + 3*m. Let p(n) be the first derivative of l(n). Let s be p(4). Solve 3*t + 5 = -s for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**23*k)**18)**(-34))**(-5\/9) assuming k is positive.\nAnswer: k**8160","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + t**2 + 4)*(2*t**3 + 3*t - 3*t) + (-17*t**3 + 49 - 49)*(-2 + 2 - 3*t**2)*(-393 - 567 + 672).\nAnswer: -14686*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -64 + 64.1. Is a less than or equal to 78?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -100445835 by 2789.\nAnswer: -36015","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l - 285 = -3*d - 5*l, 0 = -l - 3. What is the remainder when d is divided by 25?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 6239*p**2 - 2 - 6214*p**2.\nAnswer: 25*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 15, 0 = -3*g - 3*l + 27. Suppose -m - 17 = -3*x, 4*m - g + 46 = 5*x. Suppose 2*w - x*w = -4. Solve 3*u - w = u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 4*(1*sqrt(80)*1)**2.\nAnswer: 323","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.332 + 0.4. Let o = x - 0.147. What is o rounded to 2 dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6627 divided by -322.\nAnswer: -6627\/322","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 15793*x**2 - 31188*x**2 - 3 + 15397*x**2.\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t**2 + 73374*t - 1345935969 = 0.\nAnswer: 36687","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12 + 48. Calculate the greatest common divisor of 8 and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = y - n - 18, -483 + 498 = -19*y + 2*n for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.3 take away 905?\nAnswer: -906.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -4*w**3 - 4*w**2 - 25*w - 88. What is the tens digit of p(-8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32\/18*(182\/(-637))\/(16\/42)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -2*k**2 + 2*k - 3. Let d be 1 + -1 - (-5 - -3). Determine h(d).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 + 34\/4)*(36 + -30). Calculate the highest common factor of m and 1035.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 220 a factor of 8617491?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the second derivative of -t**4\/12 + 5*t**3\/3 + 5*t**2\/2 + 5*t. Calculate the remainder when 53 is divided by k(9).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 42\/(-18) - (-11)\/33. Which is the closest to 1? (a) -4\/7 (b) r (c) 1\/4 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3528542584?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 + 120*d**2 + 6*d - 444. Let p(h) = -2*h**3 - 239*h**2 - 15*h + 888. Let f(m) = 2*p(m) + 5*u(m). Find the first derivative of f(k) wrt k.\nAnswer: 3*k**2 + 244*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1802\/623 - 35\/89. What is the common denominator of h and 6\/(-21) - 236\/154?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/21 of a week in seconds?\nAnswer: 57600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffp when three letters picked without replacement from {f: 2, p: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 - -3. Suppose 0 = 3*y - i*y - 15. Sort 5, -4, y in descending order.\nAnswer: 5, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -821 + 580. Let n = 244 + v. Solve r - n = -8 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/30 + ((-4912)\/(-60) - -2). What is the greatest common factor of v and 252?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 5*v**3 - 28*v**2 - 3*v - 38. What is p(6)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -41686 not equal to -41675?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(99)*2 + 2)**2 + 2*(sqrt(220)\/sqrt(4))\/sqrt(5).\nAnswer: 26*sqrt(11) + 398","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 40.84 - 2.09. Let t = 0.45 + j. Let c = t + -2. What is c rounded to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-4\/3)*x*x**(-1))\/(x**(2\/5)\/x)**20)\/((x\/(x*x**(-3\/5)*x*x))\/(x\/(x\/x**(-3\/2)))*(x**(-1\/9)*x)\/x**2) assuming x is positive.\nAnswer: x**(1051\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 8*h - 3. Let t(q) = q - 1. Determine -j(k) + 6*t(k).\nAnswer: -2*k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-10)\/6 + 2)*-6. Let g(j) = -j - 29 + 12 + 17. Let f(u) = -u**3 + 3*u. What is k*f(p) - 7*g(p)?\nAnswer: 2*p**3 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -3, 2, 0.05, -0.035?\nAnswer: -0.035","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -224*y**3 + 0*y**2 + 7*y**2 + 229*y**3 - 7*y**2.\nAnswer: 5*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + 2 + (54 + 0 - (-137 + 127)).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 151 = -2*p, -x - 2*x = -9. Let t = -76 + p. Let w(f) = 2*f**3 + 9*f - 10. What are the prime factors of w(t)?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/3))**(-41)\/(n\/(n**(-10)\/n)*n**(-5)) assuming n is positive.\nAnswer: n**(20\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -2*n**2 - 3*n - 1. Suppose -2*m + 3 = 9. Let q(t) = 4*t**2 + 6*t + 2. Let c(h) = m*q(h) - 5*d(h). Let c(i) = 0. What is i?\nAnswer: -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2366933 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -2*u**4\/7 + 28*u**3 + 5570*u**2\/7 + 34892*u\/7 = 0.\nAnswer: -13, -11, 0, 122","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4.245 - 0.045. Let h = -1.2 + o. Let d = h - 3.1. Is -0.06 not equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -2) + 3 - -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -20 (b) -5\/26 (c) 3 (d) -129504\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 284*q**2\/3 - 84*q - 32\/3 = 0. What is q?\nAnswer: -8\/71, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -18*p**2 + 37*p - 7. Let k(d) = 8*d**2 - 18*d + 3. Calculate 5*k(h) + 2*l(h).\nAnswer: 4*h**2 - 16*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 213 + -399. Let j = s + 464. Is j\/7 - 4\/(-14) a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94*h + 5250 = -23*h - 33*h for h.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (((-15)\/3)\/(-1))\/1. Calculate the remainder when 2\/o + (-406)\/(-35) is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (65\/104)\/(105\/(-52) - -2). Are 0.1 and h unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -9*t**3 - 11*t**2 + 6. Let y(w) = -5*w**3 - 6*w**2 + 3. What is 6*n(m) - 11*y(m)?\nAnswer: m**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-6))\/(77\/66).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uulggguuulguggulu. What is prob of picking 4 u?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, b: 4, n: 4}. Give prob of picking 2 n.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1968 times 3?\nAnswer: -5904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 682 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 300 and 110.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/6756 and -37\/21?\nAnswer: 47292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7\/4510? (a) 0.5 (b) -2\/3 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12681 divided by 12681.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20*c**2 - 24*c**2 + 3*c**2)*(-3*c**2 - 3*c**2 + 5*c**2) + (-4*c + 4*c + 2*c**2)*(-c**2 + 3*c**2 - 3*c**2) - c + 17*c + 25*c**4 - 13*c.\nAnswer: 64*c**4 + 3*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes after 3:27 AM?\nAnswer: 6:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*x**2\/4 - 90735*x\/4 + 29070198 = 0. Calculate x.\nAnswer: 1341, 28904","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a second in milliseconds?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 4540.759 days?\nAnswer: 392321577600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 21, -4, 11, -5 in increasing order.\nAnswer: -5, -4, 2, 11, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4577.002l in millilitres?\nAnswer: 4577002","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + z + 2 = 0, -3*r - 4*z = -2. Suppose -a - 1 = -3*d + 2*d, r*d = -5*a + 2. Suppose 2*n = -a*n. Let x(f) = f**3 + f**2 + f + 1. Determine x(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -52 (base 12) to base 16\nAnswer: -3e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -7407?\nAnswer: 1\/2469","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -526*y + 528*y + 32 = 4*h, -4*y - 32 = -4*h. Solve -h*f + 10 = 42 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -4*b + 16. Let h be x(4). Suppose -2 = q + j - 3, h = -4*q - j + 10. List the prime factors of 681\/q - (4 - 4).\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 12*v**2 + 19. Let m(r) = -99*r**2 + 7*r. Let n(k) = -14*k**2 + k. Let g(s) = -2*m(s) + 14*n(s). What is h(g(j))?\nAnswer: 48*j**4 + 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 79374 and 174.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7542)\/(-2933) - (24606\/5355 + -2).\nAnswer: -2\/85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*b - 2*b = 184. Let m(w) = 15*w + 14*w + 2 - 50*w + b*w. Let o(q) = 3*q + 3. Let z be ((-140)\/(-8))\/5*-2. Calculate z*m(f) + 4*o(f).\nAnswer: -2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3871 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -31784\/5 - -6357. Which is the closest to 1\/4? (a) y (b) 2.9 (c) 0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-11) + (-26)\/(-22). Let o be 6\/(2 + i) + 4\/2. What is the second derivative of -2*h**o - 263*h**5 + 18*h + 257*h**5 + 2*h**4 wrt h?\nAnswer: -120*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 376 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1970 + 822. Let k = -739 - x. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -204 - -202.73. Let w = g - -0.3. Let v = 0.9514 + w. Round v to three dps.\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97 is divided by 708\/28 - 2\/7?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 - (1 + -1))\/2. Let q(i) be the second derivative of i**3\/3 - 3*i. Let r be q(a). Solve 5*j + 8 = -r for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 39.7 + -40. What is the third smallest value in -1, 0, u?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 4*q - 1. Let o be r(1). Suppose -5*m + o*m = 0. Solve 5*t = m, 5*j - 3*t = -t - 5 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9 + 2*q - 9)*((-4 - 22 + 57)*(1 - 2 - 1) - 1 + 4 - 2) to the form f*q + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 242717 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 11225 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:14 AM and 9:30 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, 1\/4, 1\/114, -1, 16, -3 in increasing order.\nAnswer: -3, -1, 1\/114, 1\/4, 16, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.129 + 3.55. What is the biggest value in 4, 2\/7, -0.3, y?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*f - 27*f - 100 = -34*r - 8*f - 9*f, -4*r = -4*f - 20 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (740*o - 83*o - 351 + 340)*(-3 + 0 + 1).\nAnswer: -1314*o + 22","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 1 - (3 - -8)) + (-38 - -54).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 + (4\/(-4) - -17). Suppose 5*y - 3 = -g, 3*y + 20 = 2*g + n. Let 0*u**4 + y*u**2 + 2\/21*u + 2\/21*u**5 + 0 - 4\/21*u**3 = 0. What is u?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15.92*0.75\nAnswer: 11.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 558 by -186.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -69 + 76. Suppose -3*q + 21 = -f, -8*q - 2*f = -t*q. What is the least common multiple of 14 and q?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (5 + 1 + sqrt(208) + -1)*3*1)**2.\nAnswer: 264*sqrt(13) + 1993","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -62406 - -5?\nAnswer: -62401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 u, and 1 y when three letters picked without replacement from uzziymi.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 320 + -170. Calculate the greatest common factor of r and 330.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**2 + 881*j + 7858. Determine r(-9).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o - 12. Let m be d(-16). Suppose 0*k - f = -3*k + 10, -m*f = -2*k + 10. Solve k*h - 8 = -2 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, 2\/17, -2\/7, -1\/3, 3 in decreasing order.\nAnswer: 3, 2\/5, 2\/17, -2\/7, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.5 - 3.5. Is 0.06 greater than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/58)\/((44\/((-3432)\/26))\/(4\/18))\nAnswer: 4\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2 + 66. What is the units digit of n(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -12 (b) 1\/5 (c) 4 (d) -0.2 (e) 3.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*a - 36 = -13*a. Let x(w) = w + 6. What is x(a)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (((sqrt(119) - (sqrt(119) + (sqrt(119) - 4*sqrt(119) - sqrt(119)))) + sqrt(119))*-2)\/(sqrt(35)\/sqrt(245)).\nAnswer: -70*sqrt(17) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add -26081.3 and -4.\nAnswer: -26085.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q - 2*q + 0 + 102689*q**2 - 29354*q**2 - 7.\nAnswer: 73335*q**2 - q - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 v when three letters picked without replacement from {v: 15, m: 3}.\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 14*i**2 + 10*i**2 + 10*i**2 + 15*i**2 - 50*i**2. Let f(k) = 2*k - 10. What is f(u(n))?\nAnswer: -2*n**2 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 - 24*f**2 - 45*f - 22. What is the lowest common multiple of n(-23) and 20?\nAnswer: 2420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14308 - 214007 = 4679*t + 207919 + 125788 for t.\nAnswer: -114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 203365\/914*-1*12\/30\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 5*d + p, 2*p = 4*d - 681 + 671 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*6*(sqrt(3) - (1 + sqrt(3) + sqrt(3))*3).\nAnswer: -90*sqrt(3) - 54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000088727 to 6 dps.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 510186?\nAnswer: 2, 3, 23, 3697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 443 is divided by 45.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * -533960.61.\nAnswer: -533960.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-136)\/(-20) + 2\/10. Suppose -4*i = -3*v - 4282, -o*i + 2*v = -6*i - 1073. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*i + 30, 108*n = 105*n + 20*i - 15*i + 36 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a milligram in micrograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -104545244 (base 8) in base 15?\nAnswer: -18aadca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 906*12\/(-99) - 2\/11. Let j = -98 - r. Sort 2, j, 0 in increasing order.\nAnswer: 0, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 2*j - 74, 0*m + 111 = 3*j + 3*m. Let d = j - 22. Calculate the remainder when 7 is divided by 0 + (-5)\/(d\/(-9)).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**2 - 50*v + 94. Let b be r(-37). Suppose 3*j + p - 565 = 0, -5*j + 4*p = -2*j - b. What is the remainder when j is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2e2 - -18?\nAnswer: -2c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16 and 118.\nAnswer: 944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(-2) + 30\/20. What is the third derivative of f*i**5 - 3*i**3 - 8*i**2 + 3*i**3 - 7*i**5 wrt i?\nAnswer: -300*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k + 19. What is the remainder when 82 is divided by c(10)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 + 5*x**2 - 8*x - 32. Let g be u(-5). Let w(h) = h - 3. Calculate w(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 4*j = 2248, 2*a - j = 4*j + 886. Suppose a = 2*k + 2*g, k + 3*g + 0*g = 218. What are the prime factors of k?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + (-483)\/(-126))*(-18)\/40\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(1\/6)\/q)\/q)\/q*(q**(2\/7)\/q)\/q)**30\/((q**(-2\/15)\/((q**(-6)*q)\/q))\/((q**(-1)*q*q)\/(q\/(q*(q\/q**(-1))\/q)))) assuming q is positive.\nAnswer: q**(-14731\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 410472?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 55 + -129. Let b = o - -96. Let s = 26 - b. Calculate the greatest common factor of s and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*1481517\nAnswer: 444455.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -98330, -196659, -294988, -393317, -491646, -589975?\nAnswer: -688304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.09 (b) 5 (c) 3\/7 (d) -3.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12392 by -3.\nAnswer: 12392\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-30)\/(-9) - (-1)\/(-3). Let m be -1 + (6\/(-3) - 3). Let i = k - m. Solve r - 3*j - i = 8, 2*j + 33 = 5*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w - 2*k + 20446, 18*w + k = 15*w + 15335. Is 24 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -42 - 18. Let s be (-6)\/c - (-21)\/5. Suppose 2*o + 5*f - 57 = 0, 0*o + 3*o = -s*f + 82. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28 + (-350)\/(-20))\/((-2)\/4)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 38, -115, -594, -1561, -3178, -5607?\n\"Answer: -27*b**3 - b**2 + 39*b + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 63 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -2*h + 2*t, -60*h - 3*t = -61*h. Solve 31*x = 40*x + h for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (-1 - 0 - -6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 10 = -a. Suppose -12 = 2*c + 4*m, a*c - 2*m = -3*m + 6. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 4*r = -7*r - 17, z - 4*r = 20. Let f be -1*(2 + (-4)\/1). Find the second derivative of -3*c + z*c + 7*c**2 + 0*c**2 - c**f wrt c.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 12*w**2 + 4*w. Suppose -12*n + 260 = -7*n. Let m be (-4 - n\/(-12))*9. Let z(u) = -11*u**2 - 3*u. Calculate m*a(v) + 4*z(v).\nAnswer: -8*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 21 (b) -3 (c) -0.5105\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22 + 15. Let q = o - -12. Suppose 3*w + f - 446 = -0*w, 303 = 2*w - q*f. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 739\/107 - 4444\/535. Let n(b) = b - 7. Let t be n(4). What is the nearest to 1 in t, y, -2\/21?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-506)\/(-462)*-9)\/((-15)\/70)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 14.2 (b) -2\/987 (c) 0.33\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -174*a**3 - a**2 - 2 + 2 + 0.\nAnswer: -174*a**3 - a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-421 - -402) + (-2 - -15)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/27)\/((-11)\/((-66)\/(-24)))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5.99 (b) -3\/4123 (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10058 is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -449 - -212. Let r = s + 238. Which is the nearest to 2? (a) -5 (b) r (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -a3a7 (base 13) in base 3?\nAnswer: -1011000120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**2 + 5*l + 9. Suppose 15 = -4*h - 13. Let a be (-2)\/((h\/3)\/7). Let i be x(a). Solve 0 = -v - 0*v - i for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/47172365 or -1?\nAnswer: -2\/47172365","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 122, 125, 128, 131?\n\"Answer: 3*q + 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - -1) + -3 + 1 - 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 plus -10302?\nAnswer: -10287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 13, g: 2, b: 2, w: 2}. What is prob of picking 2 w?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 425*i**3 - 1504*i**2 + 1504*i**2 + 2*i**3.\nAnswer: 427*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15271\/85152 - 2\/887. Find the common denominator of 31\/48 and w.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/4 + 18\/4. Suppose a - j = -a. Let u be 6*(a - (-8)\/6). Solve 3*x - u = -x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (-26 + 37 - (-15 - -8 - 29 - -2)).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 67012, 67016, 67020, 67024?\n\"Answer: 4*x + 67008","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 + 7*m + 11. Let c be 63\/(-12) + 3\/(-24)*6. Let s be r(c). Solve -s*j - 6 = -j - 2*x, -2*j = 3*x + 23 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (64\/(-560))\/(108\/405).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 56, 110, 162, 212, 260, 306, 350?\n\"Answer: -t**2 + 57*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (33\/(-44))\/(3\/2)*-2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 13*h - 13. Is g(12) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mrmmrmxfoxbf. Give prob of sequence bo.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**2 + 3*h - 5. Suppose 7*v = 12*v + 110. Let c = 18 + v. What is u(c)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (49\/(-14)*10\/35*2)\/(-33)?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 t when two letters picked without replacement from {j: 1, h: 1, t: 7, l: 3}.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:10 PM and 4:21 PM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 122134.9ns?\nAnswer: 0.1221349","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 - 520*u**2 + 3656*u + 20. What is j(7)?\nAnswer: -211","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**2 - 17*k - 5. Let f be c(-15). Suppose 4*x - f = -x + 4*y, 0 = -5*y. Suppose s - x*s = -108. Does 11 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -2*x**4 + 212*x**3 + 2858*x**2 - 3068*x = 0.\nAnswer: -13, 0, 1, 118","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -5*o + 226. Is 17 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f + 3*o - 1, -3 = -f - 2*f - 4*o. Suppose h = f*h - 160. Does 14 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + 0. Let i = c - 1. Let b be -2*(-41 - 2) + i. What is the greatest common factor of 17 and b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 39037?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -8324d4 (base 15) to base 16\nAnswer: -5f2264","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 884 + -512. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 57447?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -137*x**4 - 99643*x**3 - 316*x**2 + 69666*x?\nAnswer: -3288*x - 597858","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 2*g + 4*n, 4 = -12*n + 8*n for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1545 (base 6) to base 14.\nAnswer: -225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10355 - c**3 - 9881 + 58*c**3 + 20236.\nAnswer: 57*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 145*a**2 + a + 3. Let d be p(-4). Let b = d - 478. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 132136 = -5*s - 3*i, -3*s = -i + 79290. Is (-4)\/6 + s\/(-39) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**2 - 15*u + 25. Calculate r(-17).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -968 + 4016. Let c = 2575 + s. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 - 158*r**2 - 300*r - 3144. Give l(160).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 455139877.\nAnswer: 455139877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 3*j**2 - 391*j + 6935. Determine z(19).\nAnswer: 589","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -39 - -118\/3. Let u = -0.08 - 0.22. Let q = -3\/12448 - -6227\/12448. Which is the closest to q? (a) -3 (b) v (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 118 - 434. Let u = r - -1096. What is u rounded to the nearest 100?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3355129486?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 + 10. Calculate the remainder when 4\/(-10) + (3\/(-5) - -7) is divided by t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4916213.\nAnswer: 17, 289189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2964?\nAnswer: 2, 3, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 15, 85, 193, 339, 523, 745, 1005?\n\"Answer: 19*x**2 + 13*x - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4445517917 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 39? (a) -0.19018 (b) 1 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*(4 + 2 - 649\/110).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 243073 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*r**4 - 2*r - 4*r**4 + r + (3*r**2 + 0*r**2 + 3*r**2)*(r**2 - 3*r**2 + 6*r**2) - 4*r**2 + r**4 + 4*r**2.\nAnswer: 27*r**4 - r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 140612 - -431?\nAnswer: 141343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 950, 3819, 8610, 15329, 23982?\nAnswer: 34575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 + 8*n**2 - 8*n + 4. Let x be k(7). Let f be ((-6)\/(-4))\/(-1)*10\/x. Factor z**2 + 10*z**2 - 10*z**3 + 5 - 15*z + f*z**3 + 4*z**2.\nAnswer: -5*(z - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 4*n + 100. Suppose -45 = -q - 56. List the prime factors of g(q).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3681, 3129, 2577?\n\"Answer: -552*l + 4233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1225678 or 79669074\/65?\nAnswer: 79669074\/65","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3990 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8671344 litres in millilitres?\nAnswer: 867.1344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lsls when four letters picked without replacement from {s: 3, c: 10, u: 5, l: 2}?\nAnswer: 1\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 15\/16 of a hour?\nAnswer: 3375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*u**2 + 39*u**2 + 42*u**2 - 167*u**2 + 46*u**2.\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.0371 - -127.1371. Let g = d - 127. What is the closest to -0.2 in g, 1\/4, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*t + 2*h = 56*t + 5*h, 5*h = -5*t + 2*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**2 - 130*n. Let z(t) = 2*t. Give z(p(i)).\nAnswer: 2*i**2 - 260*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 23231446?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -47874384\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 183476194 and 14278?\nAnswer: 1298","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -169, -179, -189, -199, -209?\n\"Answer: -10*g - 159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**13*(f\/(f*f\/(f\/(f\/f**(-1\/5)))))\/f)\/(((f*f*f\/f**(4\/3)*f)\/f)\/(f\/(f\/(f*f**(2\/3)*f)))))**19 assuming f is positive.\nAnswer: f**(1216\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15607, 62432, 140473, 249730, 390203, 561892, 764797?\nAnswer: 998918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*x - 2 - 9 - 27*x**2 + 29*x**2 + 5*x + 8*x**3 in the form u + m*x**2 + k*x**3 + d*x and give k.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2994 or -572125\/191?\nAnswer: -2994","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the third derivative of -u**5\/15 + u**4\/24 + u**3\/3 + u**2 + 96. Suppose -2*y + 10 - 1 = a, -1 = -4*a - y. Let q be i(a). Sort q, 1, 3.\nAnswer: q, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 41751 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 13 + 5 + 7 + 3*a**2 + 29 to d + v*a + h*a**2 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -x - 8, 7*k - 15 = 4*k. Let r = x - -27. Let z(p) = 0*p**2 - r*p**2 + p**2. Let n(y) = 15*y**2. Give z(n(d)).\nAnswer: -675*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.5, 2, 0.1, 59645, 10?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 + -14. Let a(o) = 19*o - 10. Let k(g) = 17*g - 10. Let x(d) = 6*a(d) - 7*k(d). Calculate the remainder when x(w) is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the third derivative of -g**5\/60 + 5*g**4\/6 - g**3\/6 - 15*g**2. Let k be n(19). Calculate the highest common divisor of 36 and k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the first derivative of -1\/4*s**4 - 1\/2*s**2 + 9 + 0*s + 0*s**3. Let x(r) = -280*r**2 + 132*r**2 + 149*r**2 - 2*r - 4*r**3. Give 2*b(z) - x(z).\nAnswer: 2*z**3 - z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2046011, 4092108, 6138205, 8184302?\nAnswer: 10230399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o + 4. Let w be v(3). Let d(b) = b**2 - 14*b - 17. Let k be d(15). Let r be 16\/12*(-2)\/8. What is the smallest value in k, r, w?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 4.2, 0, -1, 5\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 3*f**2 - 118*f - 1424. Determine o(49).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 887965190 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/5*b**2 - 24\/5*b + 0.\nAnswer: 3*b*(b - 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * 186.\nAnswer: 37.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31*h - 5*h + 0*h + h - 2*h + 0*h - 2*h - 2 + 2 + (2*h - 5*h + 4*h)*(0 - 2 + 3) + 2*h - 2*h - 3*h + h + 0*h + 2 - 1 to y*h + n and give y.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5 + 3 + 1)*(j**2 - 2*j + 2*j) - 2*j**2 + 0*j**2 + j**2)*(3 - 3*j - 3)*(-1989*j - 841 + 841).\nAnswer: -11934*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1295785, -1295775, -1295759, -1295737?\nAnswer: -1295709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32718, 32794, 32866, 32934?\nAnswer: 32998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 20145421 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - -1 - (12648\/(-255) + 57)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90 = g - 30. Suppose 10*f - g = 5*f. Let y be ((-6)\/4)\/((-18)\/f). Solve 0 = d + y + 2 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppbllucuhbluluu. What is prob of picking 2 u and 1 l?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*i**5 - 390*i**4 + 7506*i**3 + 18566*i**2 - 39156*i - 49824 = 0. What is i?\nAnswer: -3, -1, 2, 24, 173","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 28*b - 53*b + 11*b**3 - 12*b**2 - 3*b**4 + 29*b.\nAnswer: -b*(b - 2)*(b - 1)*(3*b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2, -0.3, -0.5, 5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -2*b**2 + 16*b + 14. Let v(n) = -n**2 + n - 1. Let k(f) = -h(f) + 4*v(f). Factor k(x).\nAnswer: -2*(x + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 940 divide 35756660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/15 of a day in seconds?\nAnswer: 11520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 18 = 4*w - 6, -o = -4*w - 16. Let h be o\/6 + 32\/(-6). Let p = 1 - h. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and 84?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63.2*0.3.\nAnswer: 18.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 876 + 744 = 15*a. What is the remainder when a is divided by 37?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -35\/6 - -13\/2. Factor -1\/3*s**3 - a*s + 0 - s**2.\nAnswer: -s*(s + 1)*(s + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -18 - z + 2*z + 3*z**3 + 10*z**4 - 14 + 29 as b + m*z**3 + h*z**2 + p*z**4 + c*z and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the first derivative of 112 - 224*c**2 - 24*c**4 + 192*c - 4\/5*c**5 + 2\/3*c**6 + 352\/3*c**3. Factor r(t).\nAnswer: 4*(t - 2)**3*(t - 1)*(t + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**2 - 4*t + 5. Let d be (-10)\/3*(-6)\/(-5). Let i be w(d). Suppose 3*r - 3*z - 58 - 50 = 0, -4*z = -i*r + 180. Does 18 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/((-25)\/30))\/2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 51? (a) -22 (b) 0 (c) -0.5 (d) 25 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*d - 25*d - 5*w = -26, -d - w + 7 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -370.5, 3.9, 4?\nAnswer: -370.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d + 7. Let c(g) = -g - 12. Let q = -3 + -2. Let x be c(q). Let p be m(x). Solve -5*u + u - 16 = p for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -75770, -151512, -227222, -302894, -378522?\n\"Answer: g**3 + 10*g**2 - 75779*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -0.5 (b) -8\/7 (c) 26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9304 or 0.1?\nAnswer: 9304","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 - 26*i**2 - 47*i + 30. Calculate b(-24).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -1452*c**3 + 6*c**2 + 1409. Let t(u) = 1451*u**3 - 5*u**2 - 1408. Let n(a) = 5*l(a) + 6*t(a). Differentiate n(o) with respect to o.\nAnswer: 4338*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3123, 12467, 28037, 49833?\n\"Answer: 3113*o**2 + 5*o + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -g*n*x**3 - 54570203*g*n*x - 2*n*x**3 - 341*n*x - 2*n - 2*x**3 + 4*x**2 + 57 wrt g?\nAnswer: -n*x**3 - 54570203*n*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 5, t: 3}. Give prob of sequence aatt.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/5 - (-90)\/25. Suppose 0 = -5*i + t - 1, -5*i + 3*t = -0*t + 3. Solve -3*n - 5 - u = i for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -1 - 5. Let f(o) = -o**2 + 9*o + 13. Let h be f(10). Suppose -r*s + 30 + 6 = -h*a, -s + 18 = -2*a. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -162 - 5120*a**3 + 3*a**2 + 0*a**2 + 5119*a**3 - 4*a**2 - 19 - 3*a to the form x*a + l + u*a**2 + g*a**3 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than -270376945?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -28.6 - -27.6. Let s = 35 - 38. Put 0.4, 2\/11, p, s in descending order.\nAnswer: 0.4, 2\/11, p, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -13 + -79?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1656420141 + -4?\nAnswer: -1656420145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 636 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + -3. Let v = -3 - f. Let l = 6 + v. Calculate the highest common divisor of l and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 25811?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 - 1)*(2 - 4 + 3)*(-5*b + 4*b + 2*b) + (-6*b + 2*b - 4*b)*(1 + 3 + 3).\nAnswer: -58*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17 by -23383.\nAnswer: -17\/23383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 - (-12)\/9*3. Suppose -n + 20 = 5*a - 2*a, -30 = -i*n - a. Sort -1, 0, n in descending order.\nAnswer: n, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s - 2 + 2)*((-2*s - 2*s**3 + 2*s)*(2*s - 2*s - s) - 3*s**4 + s**4 - 2*s**4 - s**4 - 2*s + 2*s).\nAnswer: 9*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-754)\/(-3016))\/(((-10)\/(-8))\/5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = x - 15. Let u(q) = -5*q - 3*q + 7*q. Let w(y) = 1. Let r(i) = u(i) - 4*w(i). Calculate r(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -852 (base 15) to base 8.\nAnswer: -3525","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 43300.67 decades?\nAnswer: 433.0067","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18*r**2 + 374*r - 84.\nAnswer: 2*(r + 21)*(9*r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -3*h + 63, -9*h + 12*h + 3*u - 63 = 0. Is (h\/(-42))\/(1\/(-102)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in eleven quarters of a tonne?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 100 (base 2) to base 13\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.05 or 8022?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(-12)*b)\/b)**(-2\/123)\/(b*b*b*b*b**14\/b*b*b*b\/(b**6\/b)) assuming b is positive.\nAnswer: b**(-1823\/123)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*j**2 + 7 - 4 - 41 - 82 to b + v*j**2 + i*j and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/5, -4, 0.03, 0.05?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 76\/5 of a kilometer?\nAnswer: 15200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a centimeter in micrometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.8 + 8.2. Let b = -10232.3538 + 10243.35379856. Let d = p - b. What is d rounded to seven dps?\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 + 988*y**2 - 7976*y + 30. Calculate n(8).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 3*g - 47. Let x(a) = a - 16. Let z(s) = 4*j(s) - 11*x(s). Let i be z(12). Suppose 3*v - 355 = -2*l + 4*l, 4*v + 2*l - 478 = i. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 PM and 7:56 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxrrrrxxxx. Give prob of picking 1 r and 1 x.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*k**2 + 48266288*k**3 - 24*k**2 - 48266241*k**3.\nAnswer: 47*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.084 + -6195.\nAnswer: -6194.916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.5 (b) 1 (c) 4 (d) -3.2 (e) -276\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 2*v = -20, -905 + 884 = -3*v. Solve 3*j = 5*o + 20, -w*j + 385*o - 390*o - 50 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.2, 0.1, 56\/65, 4, 13, -4 in increasing order.\nAnswer: -4, 0.1, 0.2, 56\/65, 3, 4, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 - 5. What are the prime factors of (r\/5)\/1*5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 198 divide 3057516?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -102*x**2. Let c(h) be the second derivative of -2*h**4\/3 - h + 104. Give l(c(t)).\nAnswer: -6528*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1896151115 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-581)\/(-5) + 576\/(-6720)*14.\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -1636*d + 1. Is i(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 25176*c*d**2 + 1820*c*d - c - d wrt d?\nAnswer: 50352*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/9, -5, 0.023, 53, 0?\nAnswer: 0.023","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 3 - 23 = 0. Let m(x) = -x**2 + 5*x + 4. Let s be m(u). Suppose 12 = 2*a + 2*g, -s*g + 15 = -7*g. What is the remainder when a is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 746.91 + -746.34103. Let y = q - 0.575. Round y to three decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 155\/77862642 and -63\/26.\nAnswer: 77862642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1608469810 to the power of 1\/2, to the nearest integer?\nAnswer: 40106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 669*b = 678*b - 27. Solve n + 5*s - b = 0, 0*s - 3 = n - s for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 11:20 AM?\nAnswer: 7:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = g + 4, -g = -n + 9. List the prime factors of -4 + (n - 3) - -32.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-4)\/9)\/(-4))\/((-66)\/66).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 3) to base 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -dfe0 (base 16) to base 6.\nAnswer: -1121200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, w: 9, g: 6}. Give prob of sequence www.\nAnswer: 21\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1749)\/(-15) - 4\/(-10). Suppose 5*b = -2*n + m, n + n + 8 = 0. Let r = b + 0. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-676)\/39039)\/(4\/3). Which is bigger: f or -3\/32?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than or equal to -11\/300?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 10810170 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 28300?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.1 - 47.9. Let h = c + 163. Let o = 115.59 - h. What is o rounded to one decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mamn when four letters picked without replacement from {e: 1, n: 1, a: 1, m: 2, j: 4}.\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 415 a factor of 76685?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -12527, -25048, -37565, -50078, -62587?\n\"Answer: 2*g**2 - 12527*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the third derivative of -13*s**4\/24 - 1749*s**2. Let a(o) = 2*o - 70. Determine a(r(d)).\nAnswer: -26*d - 70","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -968457 (base 14) to base 10\nAnswer: -5093725","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in eleven eighths of a milligram?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2173?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -866 - -866.00000007. What is u rounded to six dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-23100)\/(-550)*6\/(-126).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -79 - -79.2. Let k = 168\/445 - -2\/89. What is the nearest to 2 in x, k, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 246178 is divided by 1620?\nAnswer: 1558","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/6 - (-9)\/6. Suppose 0 = -v*q + 3*r + 257, 4*q + 93 = -3*r + 580. Is 31 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10076326 and 16?\nAnswer: 80610608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 278, 594, 910?\nAnswer: 1226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-272)\/224 + (-1)\/(-2).\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3 + (-4 + 3 - -145). Calculate the greatest common factor of 21 and z.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42 + (-14 + 20 - -19 - 18)?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 1057291\nAnswer: -4\/1057291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*b*q**2*r - 405*b*q**2 - b - 8*q**2*r - 2*r + 8 wrt b?\nAnswer: 2*q**2*r - 405*q**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 3*a, -j + 3*a + 5 = 4 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*x + 7 + 16 = 0. Let z = -3.2 - -3. Let m = -643 + 642.5. What is the nearest to x in z, 4, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - q. Let u = -8 - -5. Put q, 2, u in increasing order.\nAnswer: u, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -13*d - 325. Give h(-23).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 45*j - 122*j + 85*j. Give x(-5).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -5125\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -80*i**3 + 162*i**3 - 66*i**3 + (-17 + 14 + 31)*(-i**3 - 2*i**3 + 2*i**3) + (3 - 3 - i**2)*(-i + 3*i - 3*i) to a + p*i + w*i**2 + g*i**3 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 = -4*a - 8*x, 5*a + 13*x + 110 = 18*x. Let v(g) = -g**3 - 20*g**2 + 2*g + 34. What is v(a)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6131751 and 42.\nAnswer: 85844514","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 191 + -133. What is the remainder when 114 is divided by s?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = 2*i - 1962, 15*i - 13*i + 2*y = 1962. Is i a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/4 + 76473\/324. Let c = -236 + f. Which is bigger: 1 or c?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from yyyyyyyykkykyy?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1114?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 807 * -11987\nAnswer: -9673509","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0*(-4)\/(-16) + 0. Which is smaller: 7\/15 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) 2\/237 (c) -30\/13 (d) -6\/5 (e) -0.143\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 35 - 3?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*c + 2125 + 953 = 61*c + 8*c for c.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 - u**2 + 5. Let s be y(0). Let p(g) = 0*g**2 - 2*g + 0 - g**3 - 3 + s*g**2. Let r be p(4). Solve r*q + 0*q - 20 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fffwslbbbwb. What is prob of sequence blff?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 - -2) + (11 - 2). Let k be (13 + -4 + 0)*(-4)\/(-12). Suppose v*w = k*w + 6. What is the nearest to 0 in -0.5, -1\/4, w?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/5*(-135)\/18. Solve -5*b - c = -3*a, -2*b = -0*b + 5*a + 16 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10805 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 69*p**2 - 66*p**2 - 4.\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -123647.3 to the nearest 10000.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -1186, 48, -3, -44, 4 in descending order.\nAnswer: 48, 4, -3, -44, -1186","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 546 and 2821?\nAnswer: 16926","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + -1423303?\nAnswer: -1423254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 11*r + 14. Let x be t(-4). Let p be (-14)\/105 - 64\/x. Suppose s - p*h + 8 = 0, 8*s - 3*h = 3*s - 5. What is the second biggest value in -5, s, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -999, -757, -351, 219, 953, 1851?\nAnswer: 2913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9562696 to the power of 1\/5, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in three eighths of a tonne?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 25322 + 14?\nAnswer: 25336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 j when two letters picked without replacement from {f: 4, i: 7, j: 1, v: 6}?\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h**(-1\/8)*h))\/h)\/(h*h\/(h*h*h**(3\/5)*h))*(h\/((h**(4\/7)\/h)\/h))\/(h*h**12) assuming h is positive.\nAnswer: h**(-2757\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1470 a factor of 879451800?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 4*s - 17 = 0, -3*s = -4*n - 39 + 23 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 3*b - 2)*(-5*b + b - 19*b)*(49 - 3*b - 49) to u*b**3 + z*b**2 + p*b + g and give u.\nAnswer: -207","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 358217 divided by 4.\nAnswer: 358217\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 3 p when four letters picked without replacement from hpphppnhfhp?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -178*z = -181*z - 9 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 262.2 + -19289.2. Let w = -19026.940996 - v. Let q = w + -0.059. Round q to six decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*a**(2\/7))**(-23)\/((a**(-2\/19)*a)\/a**(2\/17))*(a\/(a*a**(-2\/3)))**34*a**(-6)\/a**(-2\/21) assuming a is positive.\nAnswer: a**(-248167\/6783)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -2*k + 36. Let o be m(17). Suppose -5*g + 36 = 4*x, -5 = o*x + 3*x. Solve -s + g = 3*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 2563*k - 171711. Determine p(67).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1397 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 14 and 1.2?\nAnswer: 12.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 369906?\nAnswer: 2, 3, 61651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.4 and -11519?\nAnswer: 11519.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-10)\/2)\/(1 - 0). Let q = -6 - v. What is the tens digit of -2 - (-11 - (1 - q))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3 - -2)*5\/((-5)\/3). Suppose -2*k = j*k - 5, -5*h - k + 121 = 0. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4183?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 585 + -399. Let k = -181 + v. Which is the closest to -1\/3? (a) -4\/5 (b) -5 (c) k (d) 0.007\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 3*o - 342, -4*d = o - 96 - 172. Is 24 a factor of d + 4 + 2\/1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -73, 113, 611, 1577, 3167?\nAnswer: 5537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/27*((-30)\/(-14))\/((-15)\/840*-64)?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**5 - 472120*g**4 + 55712047128*g**3 + 2897983980320*g**2 + 37677941191696*g.\nAnswer: g*(g - 236086)**2*(g + 26)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2299) - (0 + sqrt(2299)*-3))*4.\nAnswer: 176*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -51482, -51568, -51668, -51788, -51934, -52112, -52328, -52588?\n\"Answer: -v**3 - v**2 - 76*v - 51404","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 9933138*2\nAnswer: 19866276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6\/(-4))\/(6\/(-8)). Let x = -1821 + 1805.2. Let k = 16 + x. What is the nearest to 1 in 0.15, j, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6278.532nm to meters.\nAnswer: 0.000006278532","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9*b*w**2 + 263*b - 71190*w**2 with respect to b.\nAnswer: -9*w**2 + 263","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 7*d + 18*d**3 - 18*d**3 - 9*d**2 - 17 - d**3. Let w be z(-10). Solve w = 3*y - 2 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 4*o = -7, 5*b - 4*o + 0*o = 17. Suppose 3 = 2*u - b. Calculate the lowest common multiple of 4 and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2 + 3*f + 15. Let z be i(0). Suppose 65 = -5*w + z. Which is bigger: w or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19, -20, -21, -22, -23?\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/6688 and 69\/16?\nAnswer: 6688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 19 - (3 + 3 + 3) - -12\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -5*f - 11, 3*l = -3*f + 10 - 31. Calculate the remainder when 41 is divided by 133\/14 + 2\/l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, u: 2, r: 2, z: 1, i: 1}. Give prob of picking 1 u, 1 f, and 1 r.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wm when two letters picked without replacement from {v: 5, w: 5, d: 1, m: 6}.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*f - 44 + 24 = -2*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 17717977 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13453.69 - -13327. Let j = m - -126. Round j to one decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 98.65887ml to litres.\nAnswer: 0.09865887","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -244512 (base 7) to base 15.\nAnswer: -d449","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**0\/c*c)**(-3\/34)\/(((c\/(c\/c**0)*c)\/c)\/c)**(-34) assuming c is positive.\nAnswer: c**(-34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 4 = -m, -q - 2*m + 4*m + 10 = 0. Solve -3*w - 13 = -5*s, -8 = -4*w + 2*s - q for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1.65 and -0.07.\nAnswer: 1.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-seven fifths of a litre in millilitres?\nAnswer: 15400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -477248580515.999995365 + 477248578771. Let a = 1745 + c. What is a rounded to 7 dps?\nAnswer: 0.0000046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32852 is divided by 32849.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2350 = 3*m - y - y, -3*y = -5*m - 3915. What is m rounded to the nearest 100?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 729*h - 6148 + 11568 = -197*h - 17730 for h.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 86*k - 146*k + 61*k + 12082*k**2 + (0 + 2*k**2 + 0)*(-2 + 1 - 1).\nAnswer: 12078*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/3*((-243)\/(-6) - 6). Let j = 53 + w. Calculate the smallest common multiple of j and 24.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**2 + 42*y + 34. Let i be d(-22). Calculate the common denominator of (-6)\/36 + i\/(-360) and 61\/6 - 6\/3.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 1425 - 755 = 0. Suppose 0 = -v + j - 68. Is (v\/(-96))\/((-1)\/6) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*y = -35*y. Suppose -a + 23 - 18 = y. Solve 8 = b + a for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 198 = 79*d + 40 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + -17 + 14*2\/8.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -3, -0.5, -25?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 136 and 85102.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 600681331?\nAnswer: 67, 8965393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 4 (b) -2 (c) 0.12 (d) -3 (e) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11312980.\nAnswer: 2, 5, 7, 19, 4253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 3*q = 404, -4*a - 2*q = -483 + 173. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1297694919?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 + 3*r**2 - 30*r - 84. What is m(-6)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zvsz when four letters picked without replacement from zsvzvszv?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.879 + -0.121. What is the smallest value in x, 3\/5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -5*a**2 + 2*a + 1. Let r be k(-1). Let v be (0 + (-4)\/r)*-3. Let y be ((-4)\/10)\/((-68)\/20). What is the nearest to v in y, -0.2, 5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**2 + 3*t - 6. Let j be w(-6). What is the greatest common factor of 30 and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y = 7*y. Solve 0 = -4*t - 2*w + 2 - y, 4*t = -4*w for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -640*i + 41 = 2*m - 637*i, 4*i - 12 = 0 for m.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = i - 4*y - 688, 6*i - 3*y - 4191 = 0. Is 5 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4299.41379 to the nearest 10.\nAnswer: 4300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14924, -14854, -14730, -14552, -14320?\nAnswer: -14034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 5*b - s, -2*s = -4*b + 2*s + 24. Let f = b - 2. What are the prime factors of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1017564294?\nAnswer: 2, 3, 101, 317, 5297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -11321\/26 or -435?\nAnswer: -435","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1\/2 (b) 1\/4 (c) -0.5 (d) -20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the second derivative of p**5\/20 - 19*p**4\/6 - 13*p**3 - 45*p**2 + 946*p. Calculate l(40).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/630 and 43\/106344?\nAnswer: 531720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10253*w**5 - 8220*w**2.\nAnswer: 615180*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 614818 is divided by 47293?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**3 + 7*r**2 + 19*r + 80. Determine f(-4).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 38485 by -215.\nAnswer: -179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 330671250*a**2 - 181983867 wrt a?\nAnswer: 661342500*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-14)\/3*(-15)\/(-10). Let k = b + 9. Solve -1 = -k*i + i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -613, -735, -853, -967, -1077?\n\"Answer: 2*d**2 - 128*d - 487","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-45*a - 11*a - 22*a)*(-1 + 1 - a)*(2 - 2 + 2) to b*a**2 + v + d*a and give b.\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from gsffsfsgs.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23 + 28. Let n(w) be the second derivative of w**5\/20 - 3*w**4\/4 - w**3\/6 + 13*w**2\/2 + w. Let s be n(9). Solve -5*d = -f, -s*b = 4*d + d + 3 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-10)\/40)\/(8\/(-128)). Let p(k) be the first derivative of -11 + 5\/9*k**3 + 0*k - 1\/12*k**q - k**2. Solve p(b) = 0.\nAnswer: 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 177 minutes before 8:49 PM?\nAnswer: 5:52 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 4*q - 21 = 0, 5*q + 46 = 5*n + 11. Suppose 4*b = 3*z - 5 - 0, 2*z + b - n = 0. Solve 3 - 18 + 15 - g**2 + g**z = 0 for g.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -1 - (10 - 2 - 9).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 16399 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p, 1 r, and 1 d when four letters picked without replacement from {p: 2, x: 1, w: 4, r: 1, d: 1}?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the second derivative of -11*q**5\/20 + q**4\/12 - q**2\/2 + 2*q - 19. Give r(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, -7.3, -0.434 in ascending order.\nAnswer: -7.3, -0.434, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -56*n**3 + 2*n**2 - 1370 - 19*n**3 + n**4 + 75*n**3 to j*n**2 + u*n**3 + s + x*n**4 + t*n and give s.\nAnswer: -1370","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**2 - o + 4. Let k be z(0). Suppose 1405 = 325*y + 105. What is the highest common factor of y and k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = u + 51*t + 209, u = 5*t + 9*t - 11*t + 7 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3696690 is divided by 5163?\nAnswer: 5145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 - 8*b**2 - 11*b + 26. What is q(9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*i**2*s**3 - 3*i**2*s - 11979*i**2 + 3*i*s**3 - 3*i*s**2 + 3*s**2 + 6083 wrt i?\nAnswer: 8*s**3 - 6*s - 23958","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - -5. Let u be 4 + -6 + 3\/((-6)\/(-4)). Suppose -5*k + 35 = -u*k. Solve r - k = -r + d*l, 5*r = 5*l + 10 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 969 = 8*l + 9*l. Calculate the remainder when l is divided by 13.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -11864, -12849, -13832, -14813, -15792?\n\"Answer: d**2 - 988*d - 10877","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 - 3*k**2 + 2962*k - 335. Calculate g(-56).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1*((-43989)\/12298 - (-1)\/13)\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 11 + -513?\nAnswer: -502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/84224 and 37\/182.\nAnswer: 1094912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17 + 7. Let t(u) = u**3 - 8*u**2 + 1. Let k(m) = -m**2. Let c(a) = f*k(a) - 3*t(a). Differentiate c(d) with respect to d.\nAnswer: -9*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14013 (base 7) in base 8?\nAnswer: 7307","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1299694 and 154?\nAnswer: 9097858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(119)*1)\/(sqrt(315)\/sqrt(5))*-1.\nAnswer: 2*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.05, 3\/2, -1\/7, 1\/2, -2\/25?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 57*m**3 + 23*m**2 + 2*m - 11. Let n(v) = -29*v**3 - 12*v**2 - v + 6. Determine 6*a(w) + 11*n(w).\nAnswer: 23*w**3 + 6*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 25*i**2 + 7*i - 9. List the prime factors of h(2).\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 take away 4654203277?\nAnswer: -4654203276.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -35*w**3 + 15486825*w**2 + 205759580*w + 57524220 = 0?\nAnswer: -13, -2\/7, 442494","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 60669 and 1498.\nAnswer: 749","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -267, -530, -793, -1056?\n\"Answer: -263*m - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 4*u**2 - 4*u + 13. Let d = -11 - -13. Suppose -f + 30 = d*f. Is k(f) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*w + 34 - 58 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -439 + 439. Let x(f) be the second derivative of a*f**5 - 1\/120*f**6 + 1\/168*f**7 + 0*f**4 + 0 + 6*f + 0*f**3 + 0*f**2. Factor x(n).\nAnswer: n**4*(n - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 36 = -h. Suppose -2*k - 9 = 5*a - 80, 0 = -2*a + 3*k + h. What is the lowest common multiple of 9 and a?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n + 3*n - 6*n)*(4*n**2 + 2*n**2 - 5*n**2) + (3 - 3 + 2*n)*(-2*n**2 - 3 + 3) - n + n + 2*n**3 - 174*n**2 + 5*n**3 + 174*n**2.\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 3*r + 33, 0*l - 4*l = -r - 50. Let w = 25 - 16. Let c = w + 5. Is l greater than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -8*n**2 + 5*n + 5. Let w = -14 - -38. Suppose 6*q - 2*q = w. Let k(f) = 15*f**2 - 9*f - 9. What is q*k(r) + 11*o(r)?\nAnswer: 2*r**2 + r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5416315 is divided by 225678.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-40)\/28 + (-6)\/(-14) + 13. What is the greatest common factor of q and 120?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/25 of a kilogram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 + (19 + -20 - -40)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yn when two letters picked without replacement from fyfnnayaafyfn?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2 + 2)\/(-2))\/(-1). Suppose -2*j + 22 = 3*g, 188*g + 12 = -3*j + 191*g. Solve w = -y + 2*y - j for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 + 3. Sort a, -3, -4, -35 in increasing order.\nAnswer: -35, a, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1358 is divided by 271?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2370?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2275 or 2282?\nAnswer: 2275","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 57 (base 13) to base 9.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3961, -15908, -35819, -63694, -99533, -143336, -195103?\n\"Answer: -3982*b**2 - b + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the first derivative of -3*x**5\/20 + 45*x**4\/16 - 12*x**3 + 33*x**2\/2 - 38. Suppose g(b) = 0. Calculate b.\nAnswer: 0, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:46 PM and 3:52 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1584) - 2*(1*sqrt(1584) + sqrt(1584))) + sqrt(1584) + (sqrt(33)\/sqrt(3) + 4)*2 + -2*2*2*sqrt(396)*2.\nAnswer: -118*sqrt(11) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -1 + (-107 - -110)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5774 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-26 - 2)*(1 + -1 + 1). Let q = 40 - u. Suppose 4*m - q = -m + 4*b, -40 = -4*m - 4*b. Calculate the lowest common multiple of 8 and m.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-12)\/(-16)*4 + 500 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 350, 703, 1058, 1415?\n\"Answer: y**2 + 350*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 644 and 4368.\nAnswer: 100464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 > 3368?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= -285\/2131?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**2 - 67776*c - 745899.\nAnswer: 3*(c - 22603)*(c + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9127104, -18254203, -27381296, -36508383, -45635464, -54762539?\nAnswer: -63889608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 45364 + 42038. What is the ten thousands digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1985 * -0.4.\nAnswer: 794","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 10746638 = 10746653?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/4356 and -83\/5098698.\nAnswer: 10197396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 2722 = -2*y, -t - t + 1391 = 5*y. What is the tens digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*v - 23296 = 17*v. Calculate the highest common factor of v and 128.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 121 - 121. Is (r + -182)\/(5 - 11 - -5) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -45*t + 1. Let j be k(-2). Let x = j + -49. What is the least common multiple of 8\/(-6)*x\/(-4) and 20?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -609440340 divided by -61998.\nAnswer: 9830","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -9 + k**3 + 13*k - 1 - 8*k**2 - 13 - 3. Let w be m(7). Let r be (-4)\/14 + w\/(-56). Which is the closest to 1? (a) r (b) 2\/9 (c) 20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 20\/(-24)*-3*2. Let r(p) = p**3 + 10*p**2 + 6*p - 12. Let d be r(-9). Suppose f = d - 12. Solve m*l + 2*q = -6, -5*l + 10*l - f*q + 16 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 14 + 6 = 0. Calculate the remainder when 16 - 21\/7*a\/6 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 172702978.\nAnswer: 2, 7, 2731, 4517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 657 = -1639. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1088)*2*-6 - 5*(0 + sqrt(1088) - sqrt(1088) - sqrt(1088)))**2*-2.\nAnswer: -106624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3641128 and 3485.\nAnswer: 697","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 46 + -23. What are the prime factors of x?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 32*r**2 - 9*r - 142. Is y(-15) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 64 - 57. Suppose -c*x - 28 = -9*x. Suppose -x + 39 = 5*d. What is the least common multiple of d and 3?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (1 - (0 - -7)) + 3\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -2\/11 (b) -5\/1804 (c) 4 (d) 1 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3209853 to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in thirty-one halves of a centimeter?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -15443564263116 and 1.\nAnswer: -15443564263115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q + 13. Does 6 divide t(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -232 - 632 = -24*m. Put m, -3\/2, 0.5 in increasing order.\nAnswer: -3\/2, 0.5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 + 5*z**2 + 3*z - 2. Let o be (-5)\/((-5)\/3) + -7. Let t be i(o). Is 3\/2 at most t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) -3 (b) 486 (c) 1 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - 11101001100011001101?\nAnswer: -11101001100011001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 11 divided by -20344105\nAnswer: -11\/20344105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -222.042 rounded to 0 dps?\nAnswer: -222","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 2*k. Let n(j) be the first derivative of j**4\/6 - 2*j - 4. Let q(i) be the first derivative of n(i). Calculate s(q(x)).\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of -7*z**3\/3 + 40. Let u(y) = -y**2. Give u(b(f)).\nAnswer: -49*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the third derivative of -x**5\/60 - 9*x**2 + 2. Let j(d) be the first derivative of 5*d**3\/3 - 1. Give s(j(f)).\nAnswer: -25*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 3*r - 9, -4*v + 8 = -7*r + 9*r. Solve 9*k - 24 - 12 = -o, -r*o = 4*k - 16 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (206 - 215 - ((-4)\/(-1) + 0)) + (-15 - -3).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8.15 - -5.1. Let i = 0.05 + x. Let n = -0.13 + 5.13. Which is the nearest to 2\/3? (a) n (b) i (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.195 - -0.19500089. Round k to 7 dps.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 451*k**3 - k**2 - 2*k - 2. Let o be n(-1). Let t be (o\/(-4) - -1) + 1*3. Suppose -21 = -2*l + 5. What is the highest common divisor of l and t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31981, 63963, 95937, 127897, 159837?\nAnswer: 191751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1749724343 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 45747754*j**4 - 110569196 wrt j.\nAnswer: 182991016*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0005312 to five dps.\nAnswer: 0.00053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 45\/(-50)*(-50)\/60. Sort -5, o, -215 in descending order.\nAnswer: o, -5, -215","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 - 11 - 349*b**2 + 347*b**2.\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 126453?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.063 - -0.063. Let y = 3 - d. What is the third smallest value in -4, -6\/11, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -71*u + 16263. Calculate w(230).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 22 = -2*q, -4*q - 17 = -3*t + 7 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.117 - -872.883. Let p = 873.2 - h. Do p and 2\/17 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/14 bigger than 4\/1315?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*(m*m**(-1\/7))\/m)**20*((m*m*(m**(-1)\/m)\/m)\/m*m)\/(m*m\/m**13) assuming m is positive.\nAnswer: m**(190\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -146 + -136. Let i = 427 + o. Is i + 4\/(-1) + 2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49378 is divided by 75.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4 + 3)*(1 - 0). Let m = y + 4. Let g(n) = -n. Let a(q) = -q**2 - q - 4. Let i(o) = a(o) - 3*g(o). Calculate i(m).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 3*p**2 - 14*p - 517. Let v be j(-20). What is the greatest common divisor of v and 107?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -5*n**3 - 6*n**2 + n + 11*n**2 - 6*n**2 + 1. Let k be d(-1). Suppose -k*z = z - 845. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -6*m**3 - m**2 + m + 1. Let v be y(-1). Suppose -2*i - v = -13. Suppose -r + i*h = -11, -2*h + 13 = 5*r - h. Solve -r = -q - 1 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*a = 2*i + 46*a - 121720, -4*i + 243431 = -5*a. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 171 + -162. Which is bigger: -4 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 5 (b) -9 (c) 2\/11 (d) 3\/5 (e) -190 (f) 0.3 (g) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + -2 - 2) + 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1200 and 383352.\nAnswer: 19167600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 28 = -4*c, c - 4*c - 15 = 3*d. Calculate the remainder when (58\/d)\/((-2)\/8) is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) -1 (c) 2 (d) 3 (e) 1\/88\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 252 and 4641.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 129*z - 2165 - 1705. Solve 0*x = -6*x + z for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*p - 3*p - 3*p - 1567 - 12*p + 1567 + (0 + 2*p + 0)*(3 + 1 - 2) + 0 - 2*p + p - 2.\nAnswer: -11*p - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -48 + 29. Let z = 36 + y. List the prime factors of z.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.158*19\nAnswer: -3.002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10675?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (-14)\/(225\/(-18) - -9)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4755 = -198*q + 4359 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 168 and 588.\nAnswer: 1176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98*p + 119*p - 238576 = -78325. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 u when three letters picked without replacement from {u: 2, p: 3, e: 3}?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 2 = -3. Let i be (-1 + b)*-1 + -26. Let f = 71 + i. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 139377795 is divided by 1893?\nAnswer: 1884","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 15 = 3*c, -5*o - c = -o + 5. Suppose d - 3*m - 42 = 92, -d - 5*m + 94 = o. What are the prime factors of d?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 9, 99\/5, -70?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2258, 2272, 2288, 2306, 2326, 2348?\nAnswer: 2372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-26)\/(y\/((y*y**(-14))\/y)) assuming y is positive.\nAnswer: y**(-41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(5))*-6 + -5.\nAnswer: -23 - 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 2*a - 1. Let g be k(5). Let d = g + -6. Let u = 21 + -23. Put d, -4, u in decreasing order.\nAnswer: d, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 640*a - 10259. What is u(16)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -12 and -1.28467219276.\nAnswer: -13.28467219276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = f - 86, 2*y - 3*y + f - 42 = 0. Calculate the lowest common multiple of 22 and (-30)\/(-8) + (-11)\/y.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/2)\/(((-330)\/374)\/(46\/(-391)))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -28*a + 1040. Let t be g(37). Solve -2 = 5*r + t*n, -r + 2*r - 8 = 2*n for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 39 and 6201039?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/((b**(-31)*b)\/b))\/(((b**(4\/21)\/b)\/b*b)\/b) assuming b is positive.\nAnswer: b**(710\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 + 98. Is b a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19283 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -49*j**3\/2 + 97447*j**2\/2 + 27845*j\/2 + 1989\/2 = 0.\nAnswer: -1\/7, 1989","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3667 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 64197*s**2 - 3*s + 16. Let i be v(-9). Round i to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 0)*(-606*f + 1976*f - 2402*f - 3957*f).\nAnswer: 14967*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1617749947?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, r: 2, w: 3, k: 1}. Give prob of picking 2 r and 2 w.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*g = -77*g - 1280 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -8, -13, -4, -68420, -1 in ascending order.\nAnswer: -68420, -13, -8, -4, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 2:30 AM?\nAnswer: 10:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -4030*g - 410141. Calculate t(-102).\nAnswer: 919","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 4\/(-5))\/(2\/20)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3059099 to the power of 1\/3, to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 4*j**5 - 296*j**4 + 2984*j**3 + 31520*j**2 + 74964*j + 46728 = 0.\nAnswer: -3, -1, 22, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4573021 = -122*x + 1925553. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 363.00000321 + -363. Round h to seven dps.\nAnswer: 0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**2 - 10*u + 11. Let b be y(-11). Suppose b*s - 2*s = -24. Let m = 10 - s. Is -7 not equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 677163 to the nearest integer?\nAnswer: 823","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**3 + 12*q**2 + 67*q - 57. What is b(16)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*k + 72542 = -8*k. What are the prime factors of k?\nAnswer: 2, 19, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*y - 7*y - 20 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 less than -305621518?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 44 (b) 28.5 (c) -5\/3 (d) 0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -160 + 36 = -31*r. Let l = -6 - -6.4. Which is the nearest to -0.2? (a) l (b) r (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pcc when three letters picked without replacement from rbybbibrbpcipbcbb?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 48 and 0.050342.\nAnswer: 2.416416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 434047576*a**3*f**2 + 13040901*a**2*f**2 + a*f**2 + 3*f wrt a.\nAnswer: 2604285456*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + i = -49, -19 = -l + i + 5. What is the remainder when l is divided by 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*-7 - (-104)\/10530*1422\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1967026925 rounded to four decimal places?\nAnswer: -0.1967","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-22)\/(-44)*-2*2*-2. Find the common denominator of k - 4950\/(-44)*(-2)\/48 and -29\/50.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**2 - 368*k + 365. Let v(m) = -12*m**2 + 3681*m - 3648. Let a(t) = 21*p(t) + 2*v(t). Factor a(l).\nAnswer: -3*(l - 1)*(l + 123)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6518079, -13036106, -19554127, -26072142, -32590151, -39108154, -45626151?\nAnswer: -52144142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -7 and -29 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -563*c. Let q(m) = -2*m. Give g(q(l)).\nAnswer: 1126*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -14589 (base 11) in base 7?\nAnswer: -114153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 249*c**4 - 255837*c**3 + 65901249*c**2 - 95253327*c - 71055630 = 0.\nAnswer: -45\/83, 2, 513","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15.93 - 15.928159. What is w rounded to four dps?\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -61 + 101. What is the highest common divisor of 10 and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16 + 5. Let u(r) = -17*r**3 + 11*r**2 - 11*r + 7. Let h(o) = -9*o**3 + 6*o**2 - 6*o + 4. Give k*h(g) + 6*u(g).\nAnswer: -3*g**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13515 and 370470.\nAnswer: 795","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4049889, 8099771, 12149643, 16199505, 20249357, 24299199, 28349031?\nAnswer: 32398853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 4952, 9823, 14690, 19553, 24412, 29267?\n\"Answer: -2*z**2 + 4877*z + 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 59.56104kg in tonnes?\nAnswer: 0.05956104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -782 by 1847.\nAnswer: -782\/1847","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*-1.76729.\nAnswer: 0.706916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*f**2 - 5*f**2 + 0*f**2 + (f + 5*f + f)*(1 - 1 - f) + 13*f**2 - 3*f + 3*f + (-2*f**2 + 0 + 0)*(-3 - 1 + 2) + 0*f**2 + 2*f**2 - f**2.\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7795.\nAnswer: 5, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 27 = 3*f - 5*y, 3*f + 46 = -8*y for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 326461694.\nAnswer: 2, 13, 73, 101, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 4*g = -4. Let u(b) = 1 + 5*b**3 + 0*b**g + b**2 - 3*b**2. Let h be u(1). Solve h*f - 36 = 4*o, -2*o = 3*f - 4 + 2 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1656a2 (base 13) to base 16\nAnswer: 87726","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 373c4 - 5?\nAnswer: 373bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 504 and 144.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4666\/(-28)*35\/(-14). Let h = -3072\/7 + y. Calculate the common denominator of 28*(-1)\/(9\/2) and h.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 + 218*d**2 - 921*d - 7228. Give x(-222).\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -314 (base 8) to base 2\nAnswer: -11001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -126561263 (base 7) to base 12\nAnswer: -2903058","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93 is divided by 1 + -1 - (-23 + (1 - 2)).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106901 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -94.83 rounded to zero decimal places?\nAnswer: -95","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -5*n - 5. Let f(v) = -2*v - 2. Let y = 5 + 2. Let a(x) = 11*x**2 + 74*x + 92. Let r be a(-5). Give r*c(p) + y*f(p).\nAnswer: p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 45 and -0.08638.\nAnswer: -3.8871","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 - -10. Suppose -i*h + 4*j - 16 = 0, 4*h + j - 8 = -j. Suppose 5*p + n + 27 = h, -2*p + 1 = -p - 3*n. Let r(c) = c**2 + 5*c + 3. Give r(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**2 - i - 1. Let f be (-1 - 1\/(-2))\/(3\/(-120)). Suppose -f*h = -17*h + 6. Let g(k) = 3*k**2 - 4*k - 1. Give h*z(l) + g(l).\nAnswer: l**2 - 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**4\/3 + 1646*p**3 - 2709316*p**2 + 4459534136*p\/3.\nAnswer: -p*(p - 1646)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -3*4*(sqrt(700) + -1).\nAnswer: -120*sqrt(7) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 60.9426 - 61. Round x to two dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, 2\/7, -191.9 in decreasing order.\nAnswer: 2\/7, -24, -191.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/((-24)\/36*9\/8). Suppose -2*u + 32230 = v*g, 0*g - 5*g + 5*u + 40280 = 0. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3549215 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41798?\nAnswer: 2, 20899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2*-2*(-202)\/(-8). Suppose 2*r = -2*r - y + s, 4*y - 20 = 0. Suppose -4*h = -8*h + 52. What is the remainder when r is divided by h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3851261357 - -14?\nAnswer: -3851261343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, t: 1}. Give prob of picking 1 t and 1 i.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -27*o**4 + 241*o**2 - 10*o - 241*o**2 wrt o.\nAnswer: -324*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-2\/17)*s\/((s**15\/s)\/s)*s assuming s is positive.\nAnswer: s**(-189\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r. Let h = 68 + -65. Let o(d) = d - 17*d + h*d + 8*d. What is j(o(w))?\nAnswer: -5*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 - 4*u**2 - 26*u + 105. Determine x(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 36 and 198?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1213042231 (base 5) to base 12\nAnswer: b6043b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 5*w - 17 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 22698 greater than 22720?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, c: 2, v: 2, x: 7, m: 1, k: 6}. What is prob of sequence kckk?\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 2 x when four letters picked without replacement from eexxexeaeeuueeexaeex?\nAnswer: 110\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3397804 and 282052?\nAnswer: 2636","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1202244 (base 6) to base 2.\nAnswer: 1111010100010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 2*u - 11. Let z = -30 - -508\/17. Which is the fourth biggest value? (a) z (b) u (c) -0.4 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -80054 * 0.166.\nAnswer: -13288.964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.125 times -0.5?\nAnswer: 0.5625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -52, -8, 66, 170?\n\"Answer: 15*c**2 - c - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 0*k - 23 = 0. Let x = -13 - k. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -8*p + 160. Let t be v(11). What is the units digit of (2\/8)\/(t\/140256)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/15, -0.2, 0.7, -28?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/50*346655\/(-7298).\nAnswer: -19\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 108 and 48.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/((-16)\/(-6)))\/(51\/(-204)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 6*s - 15. Let l be p(6). Suppose 3*b = 6*b - 48. Let u = l - b. Solve -3*g + q - 4 = -15, 0 = -u*q - 25 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 733338 and 311?\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7864?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5436 and 0.01?\nAnswer: 54.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 238 is divided by 117.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 597217, 597216, 597215, 597214, 597213, 597212?\n\"Answer: -q + 597218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -1 - 11. Suppose 2*j - 103 = 4*q + 3*j, 5*q = -j - 128. Let c = h - q. Solve 7 = -4*k - c for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, 5, -107, 0.3 in increasing order.\nAnswer: -107, -4, -1, 0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -1 + 0 + (-8 - -2) + 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (903*m**2 - 34310 + 34310)*(2*m - 3*m + 0*m)*(4*m + m - 3*m) to q + i*m**4 + z*m**3 + s*m**2 + u*m and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 5*x - 15. Let g be h(4). Suppose g*l - 48 = 27. Let c be (-10)\/l - (-106)\/6. Solve -z - 5*m + 27 = 0, -8*z + 5*m = -4*z + c for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 48, -233650, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6661 divided by 46247?\nAnswer: 6661\/46247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((75\/6)\/5)\/(295\/354)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the second derivative of 1\/6*x**3 + 0 + 7\/2*x**2 + 27*x. Let n be a(17). Calculate the greatest common divisor of n and 96.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {a: 1, u: 2, p: 5, w: 1}?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.5319 - 96.5981. Let u = -100 - n. Round u to one decimal place.\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in eleven eighths of a meter?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11721799167 minus 618?\nAnswer: 11721798549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 2196681?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/15417 and 119\/28550.\nAnswer: 770850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3480.\nAnswer: 2, 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11974 divided by -11974.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 8*p = 18. Which is greater: -3.6 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/3195424 and 21\/160?\nAnswer: 15977120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, -15, -4, 95, -2, -4\/9?\nAnswer: 95","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-103698)\/12)\/7*-2. Let h = 1351167\/490 + -13631\/49. Let v = h - o. What is the common denominator of 3 and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -2*sqrt(567) + -3 + 0 + (sqrt(567) - (0 + -2*sqrt(567))**2) + -3)*-6.\nAnswer: 54*sqrt(7) + 13626","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 193 = -197. Let m = 0.5 + -0.6. Which is the closest to 0.2? (a) m (b) 5 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1732108.\nAnswer: 2, 7, 61861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 916962\/25 - 36672. Which is greater: 5 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -165*i + 163*i + 24 = 3*d, -100 = -4*i + 7*d for i.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16024 - 8968. Is 49 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(4*(-1*sqrt(637) - sqrt(13) - sqrt(39)\/(sqrt(9)\/sqrt(3))) + 0).\nAnswer: -180*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -52 - 63059?\nAnswer: -63111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 f when two letters picked without replacement from yyfffvfyyffyfyyffpip.\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9085 is divided by 118.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 86\/(-10) + (-21)\/(-35). Let w(z) = 18*z - 1. Let u be w(1). Let h be 3\/6 - u\/2. Is h smaller than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 246.06 - 251. Let v = a - 0.06. Let i = -6 - -6.4. What is the closest to -1 in -4\/5, i, v?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -278*z - 9 = -287*z. Let f = 2086\/9 + -232. What is the closest to f in 2, -0.1, 1\/6, z?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**1*s)**(-30)*s*s**7*s*(s**2*s)\/s*s)\/((s*s**3*s*s)\/(s*s**(-6)))**(39\/2) assuming s is positive.\nAnswer: s**(-525\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 1, -2\/3, 0.4 in descending order.\nAnswer: 8, 1, 0.4, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5364.\nAnswer: 2, 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 139886 and 161.\nAnswer: 979202","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -910 by -5.\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 74.03578 days in seconds?\nAnswer: 6396691.392","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1872968 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times 103?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9114 = 86*o - 148*o. Solve 87*a - 66*a - o = 0 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2881310 and 13140?\nAnswer: 730","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (18\/60)\/((-27)\/(-1401384)). Let t = 44713\/3 - h. Let g = -26919\/40 - t. Calculate the common denominator of g and 39\/5.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.61 - -0.91. Put 0.5, 0.1, f, -0.1 in descending order.\nAnswer: 0.5, f, 0.1, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 2*l = -42. Suppose -3*p + 19 = -l. Let w(h) = 19*h + 1. Let r be w(4). What is the greatest common factor of r and p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2096668, -55, 1 in descending order.\nAnswer: 2096668, 1, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 31*v + 10 + 21. Let q = -1 + 1. Let j = 4 + q. Which is the second biggest value? (a) -0.1 (b) v (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -71*v - 31*v**5 - 12*v**5 - 3*v**4 + 3*v**4 wrt v.\nAnswer: -860*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i + 0*i - 4*i + i.\nAnswer: -5*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -44 - -44. Suppose -c + 0*c - 19900000 = f. Round c to the nearest one million.\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes after 6:57 PM?\nAnswer: 5:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/15 of a century in months?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 51975075 and 106725?\nAnswer: 51975075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -668 - -1565. What is the remainder when j is divided by 89?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47623 is divided by 45.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3220.01 - -3220.01. Let q(r) = r**2 + 6*r + 5. Let g be q(-4). What is the biggest value in g, v, -2\/75?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13.31 + -13.21. What is the closest to d in 3\/56, 1, -0.3?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*w = -2*m - 30, w = -176*m + 175*m + 4 - 1 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 405*x**2 - 13*x.\nAnswer: 810","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (-1 - (1 + 0))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do 808 and 808 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 306 = -8*s. What is the highest common factor of 114 and s?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 2*u - 1 = 0, 75*q - 77*q + 4 = u for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least as big as -3\/70?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*38\/228*-8.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 337 is divided by 41?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -649711 - 915138 = -45*h + 717776. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 - 5*w**2 - 6*w - 6. What is t(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, 1, -5, 86 in decreasing order.\nAnswer: 86, 4, 1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 26\/1783 and -59\/14.\nAnswer: 24962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -375 + 621. What is the second derivative of -2 + 4 + 452*n**2 + 15*n - 90*n**2 - y*n**2 wrt n?\nAnswer: 232","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23174 is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -202 + 129. Let r = j + 493. What are the prime factors of r?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**2 + p. Let v = 4 - 5. Calculate g(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (-1 + -4)) + -7\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 131*v**2 - 85*v**2 + 3 - 111*v**2 - 171*v**2.\nAnswer: -236*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 43 + -25. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/(-2) + -2)\/(-1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.4, 2\/9, 3, -54\/13?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kux when three letters picked without replacement from {r: 2, k: 2, u: 2, m: 1, n: 1, x: 1}?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9391784*q**3 + 4695896*q**3 + 4695889*q**3.\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 5 - 5)*(-4 + 4 + s**4) + (-4*s**2 + 20 - 20)*(58*s**2 + 31*s**2 - 30*s**2) to the form k*s**4 + h*s**3 + u*s + a + q*s**2 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-9)\/90 - (-6)\/(-40). Sort -2\/7, -0.1, 5\/6, v in decreasing order.\nAnswer: 5\/6, -0.1, v, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/311, 0.3, -2\/3, -1 in increasing order.\nAnswer: -1, -2\/3, -2\/311, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a millimeter in micrometers?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -2*x**2 + 53*x + 13. Let n be f(28). Let d = n - -101. Solve -2*u = 8*u - d for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:55 AM and 6:31 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*o - 40 = -66*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5489 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14020163 is divided by 2317.\nAnswer: 2313","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -74 - -74.1. Let y = 920 + -922. Let p(i) = -4*i**2 - 2*i - 1. Let q be p(-1). What is the closest to q in 0.3, n, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -148.96 - -117.6. What is u rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 28057\/1469780 + 4\/28265. What is the closest to -2 in 0.7, 0.5, 0, s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 660019221.\nAnswer: 3, 5051, 14519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**4 - a**3 + 1. Let y(z) = -29 + 3*z + 6*z**3 - 10*z**4 - 2*z + 23. Let o(w) = -6*l(w) - y(w). What is the second derivative of o(c) wrt c?\nAnswer: 48*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34 - 37 = 3*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2522? (a) -1.02 (b) 0.2 (c) 5 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 5*s = 20, -5*d - 4*s + 21 - 5 = 0. Let j(b) = -b**3. Let v be j(d). Solve v = r + r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -79474, -88810, -104370, -126154, -154162, -188394, -228850?\n\"Answer: -3112*v**2 - 76362","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 6*p - 2*p = 60, a - 5*p + 3 = 0. Suppose -4*q = 2*d - 4, -4*d = 2*q - 8*d - a. What is the smallest common multiple of 8 and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 - 0) + 2 + 0. Find the second derivative of 2*o - o**4 - o - 2*o**s wrt o.\nAnswer: -36*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 48, 0.4, -560, -1\/2 in ascending order.\nAnswer: -560, -1\/2, 0.4, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2\/15 (b) -0.1 (c) -4 (d) -3\/8 (e) 0.51\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 45896094?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange t**2 - 1 + 1 + (-1 + 1 + 2*t)*(-t - t + 3*t) - 4*t**2 + 0*t**2 + 3*t**2 + 0 + t**2 + 0 - 149*t + 149*t - 130*t**2 to b*t**2 + j + d*t and give b.\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -3*h + h + 0*h. Let n(j) = j. Let m(c) = -2*n(c) + x(c). Let w(r) be the third derivative of -r**5\/20 - 8*r**2 + 2*r - 139. Calculate m(w(a)).\nAnswer: 12*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a kilometer in centimeters?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 + 6*n**2 + 7*n + 4. Suppose m + 0*m - 20 = -4*d, 4*m + 5*d - 25 = 0. Suppose 0 = 3*y + 2*t - 3*t - 20, -y - 5*t + 12 = m. Determine o(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 142007?\nAnswer: 142007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 270 and 57402?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 3646?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 19 in -0.1, -1\/9, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 - -4)*(-1 - -2). Suppose -5 = -2*j - 3*i - 2*i, 2*i + 6 = 0. Suppose 0 = 4*x + 8, 5*n - 3*x + x - 14 = 0. Solve j = -q*b - n for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 51*o**2 - 22*o - 1. Let w(n) = 71*n**2 - 30*n - 1. Let h(r) = 11*p(r) - 8*w(r). Let s(m) = m**2. What is h(f) + 5*s(f)?\nAnswer: -2*f**2 - 2*f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -40606, -40774, -40932, -41074, -41194, -41286, -41344?\nAnswer: -41362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -391 + 9*s + 7*s**2 + 766 - 2*s**2 - 383. Let l(k) = -10*k**2 - 17*k + 15. Calculate 11*a(j) + 6*l(j).\nAnswer: -5*j**2 - 3*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.37 - -17.63. Let l = b - 18. Sort -3, l, -0.2 in descending order.\nAnswer: l, -0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g**3 + 2*g**3 + 0*g**3)*(-5*g + 3*g - 3*g)*(2 + 3 - 4).\nAnswer: 10*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 2 - 2)*(l - l - 2*l) - 2 - l + 2)*(-6*l**3 + 4*l**3 + l**3)*(3 - 6 + 5).\nAnswer: -6*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 136 - 272 - 4*f + 130 to k*f + j and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the first derivative of -1\/2*k**2 + 1\/2*k**4 - 7\/3*k**3 - 7*k - 2. What are the prime factors of g(5)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, c: 5, h: 1}. Give prob of picking 3 o.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 126566 is divided by 39.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 11 - (-39 + 23)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c - 3 - 1, -3*l + 5 = 4*c. Suppose -l = -o + 2. Solve -3*y + 7 = 2*u + 4, -5*y = -o*u - 30 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 2 + 1 - 31*m as p + y*m and give y.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -6d8 (base 15) in base 13?\nAnswer: -926","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/11847 or 1?\nAnswer: -2\/11847","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**2 + 16*x + 28. Determine j(-14).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 6032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/12 and 3\/(-2)*(-1 + 42\/(-96))?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a minute in milliseconds?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -3*v**3 - 59*v**2 + 20*v + 3. Let f be y(-20). Solve 6 + 9 = f*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5010 + -3317. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**2 + 2037*k + 104133. What is w(-50)?\nAnswer: -217","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b + 36 + 26. Let k = b - 53. Let t be -15*(k\/5)\/3. Calculate the greatest common divisor of 12 and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47154274 is divided by 196.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 + (-4)\/(-14) - 44\/7. Let n(v) = 4*v + 28. Let t be n(y). Solve 2*b = t*b - 6 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 476 and 84.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - u - 2 - 7, -3*w = 2*u - 8. Let f be 8 - w*3\/6. Suppose f*p + 66 = 10*p. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-3)\/(o*o**(1\/3)))\/(o*o**4*o\/((o*(o\/(o*o*o*o*o\/o**(-2\/9)*o))\/o)\/o)) assuming o is positive.\nAnswer: o**(-149\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 24 + -20. Let b(j) = -8*j**2 - j - 9. Let q(v) = -4*v**2 - 4. Let y(u) = x*b(u) - 9*q(u). Factor y(a).\nAnswer: 4*a*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 5*p. Let d(y) = -3*y**2 - y + 368. What is d(h(v))?\nAnswer: -75*v**2 - 5*v + 368","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 6*b**3 - 2*b**2 + 4*b - 7. Let q(w) = w**2 - w + 1. Let p(z) = -m(z) - 4*q(z). Let c(r) = -r**3 + 1. What is -4*c(s) + p(s)?\nAnswer: -2*s**3 - 2*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 2*u**2 - 4. Let d(h) = 8*h**2 - 11*h - 9. Give d(y) - 2*l(y).\nAnswer: 4*y**2 - 11*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1732*l**3 + 205*l**2 + 5*l.\nAnswer: -10392","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nwww when four letters picked without replacement from wwwwnnnnwnwwnnww?\nAnswer: 21\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 13533\/6940 + (-1)\/(-20). Let q(k) = -12*k - 7*k - 4 - 14*k. Let y be q(a). Are -70 and y unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-9)*741\/20995?\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3 + -1 + -31 + -1. Let v = 57 + b. Does 10 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 10778 - -71?\nAnswer: 10860","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1253 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**3 + 5*f**2 + f + 11. Let j be w(-4). What is j rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the first derivative of 26 + 1\/2*k**2 - k. Let d = 3 + -9. Let t(s) = 2*s - 2. What is d*z(c) + 4*t(c)?\nAnswer: 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 17 + 21 - 38 - 2307*s in the form b + h*s and give h.\nAnswer: -2307","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4 - 2 - (-8 + 4 - -2). Suppose 0 = 4*n + 179 - 51. Let l be 30\/s*n\/(-40). What is the highest common factor of 6 and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*z + 21, -27*z + 16 - 40 = 3*a - 0*a - 29*z for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*p - 5*p + 14 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes before 10:11 PM?\nAnswer: 4:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 682 - 677. Solve -4*q + 29 = -3*t, 27 = -i*t + q + 7 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -4*i - 1. Let b(x) = 224*x**2 - 35*x - 32. Calculate b(t(h)).\nAnswer: 3584*h**2 + 1932*h + 227","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zldlhllllllldlnll. What is prob of picking 1 n and 1 l?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 638, 5 in decreasing order.\nAnswer: 638, 5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Do -270 and -271 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -58*n - 1085. Let a(t) = 2*t + 3. Let k be a(0). Suppose -12 = -k*h - 3. What is the remainder when r(-19) is divided by h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11 * -1511783.\nAnswer: 16629613","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + k**3 + 2 + (1 - 2 + 3)*(4*k - 4*k - 2*k**3) + 4*k**3 - 23852*k + 11895*k + 2*k**2 + 11923*k - 3 as w + i*k**2 + f*k + c*k**3 and give f.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a tonne in kilograms?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 142 divide 704391?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24*(-4)\/90)\/(464\/(-2088)).\nAnswer: -24\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the second derivative of f**6\/360 - f**5\/60 + f**4\/36 - f**2 + 2*f. Let y(m) be the first derivative of q(m). Suppose y(h) = 0. What is h?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 334 - 332. Solve -4*n = -4*p - 20, a*n + 2*p - 2 + 4 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 11, l: 4, d: 1, p: 1, e: 1}. What is prob of picking 1 d and 1 c?\nAnswer: 11\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2739338 and 182.\nAnswer: 35611394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes before 4:30 PM?\nAnswer: 11:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -83 + 50 + (-13 - -1) - (18 - 17)?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -269, -56, 527, 1666, 3547?\n\"Answer: 31*l**3 - l**2 - l - 298","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -85, -7, 0, 2, 5, 4 in increasing order.\nAnswer: -85, -7, 0, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(6\/1)*(-9)\/6?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (740\/15)\/((-4)\/(-18)). Suppose -4*s - h - 2*h + 282 = 0, 3*s - 3*h = p. What is the tens digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -349*c**2 + 1 + 1016*c**2 - 330*c**2 - 342*c**2 + 8.\nAnswer: -5*c**2 + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 10, y: 10}. What is prob of picking 4 b?\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 4*k = -4, 2*k + 3 = 5*f - 9. Suppose x - 8 = -2*s, 2*x + 3*s = 8*s + 25. What is the third derivative of l**6 - x*l**2 + 8*l**2 - l**f wrt l?\nAnswer: 120*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*h**2 - 3*h**3 - 6 + 6*h**2 - 81*h + 40*h**2.\nAnswer: -3*h**3 - 81*h - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the second derivative of g**5\/30 + 7*g**2\/2 - 13*g. Let f(w) be the first derivative of z(w). Let q(v) = 4*v + 2 - 2. What is f(q(k))?\nAnswer: 32*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a**2 + a**2 + 2*a**5)*(35 - 33 + 61) - 3 + 3 + 6*a**5.\nAnswer: 132*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -9 or 15676983?\nAnswer: 15676983","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l**(1\/6)*l*l)*(l*l\/(l**(-2\/5)*l)*l*l)\/l*l)\/((l**(-1\/13)\/l)\/(((l*l\/l**(-2))\/l)\/l*l)) assuming l is positive.\nAnswer: l**(2461\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**3\/7 - 57*y**2\/7 - 783*y\/7 + 841\/7.\nAnswer: -(y - 1)*(y + 29)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-five quarters of a litre?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -413293, -413459, -413735, -414121, -414617, -415223, -415939?\n\"Answer: -55*f**2 - f - 413237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.04 - -73.04. Let t = r - 43. Let g = t - 22. Which is the third smallest value? (a) 0 (b) 0.4 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2 - 3*m. Let o(u) = -3*u**2 + 15*u. Let c(d) = -o(d) - 5*v(d). Let s(l) = 33*l + 9. Determine s(c(w)).\nAnswer: -66*w**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10268586.\nAnswer: 2, 3, 190159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2144218 to the power of 1\/2, to the nearest integer?\nAnswer: 1464","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 5 * -7032\nAnswer: -35160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/(a*a*(a\/(a**(-1\/4)\/a))\/a)))**(2\/15) assuming a is positive.\nAnswer: a**(13\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 + 0 + (8 + -6 - 5) + -1.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 319, 653, 989, 1327, 1667?\n\"Answer: a**2 + 331*a - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 16\/(-30)*(-6)\/4*-5. List the prime factors of -209*((-1)\/l + 15\/(-12)).\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -5.548 and -1\/5 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 109580 and 84617676?\nAnswer: 423088380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1535 + -32237\/21. Is m > -4\/43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.8181 + -0.0519. Which is the closest to 0? (a) 0 (b) s (c) -2\/7 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*j**2*p + 3*j**2 + 2*j*p - 167059*j - p + 4954119 wrt j?\nAnswer: 4*j*p + 6*j + 2*p - 167059","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 + 20. Let c = 27 - a. Let g = c - 2. Which is smaller: 1 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the third derivative of g**7\/15 + 29*g**3\/6 + 27*g**2. What is the first derivative of a(u) wrt u?\nAnswer: 56*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 4327, 8695, 13159, 17767, 22567, 27607?\n\"Answer: 8*n**3 + 4312*n + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -3149.571 to the nearest ten.\nAnswer: -3150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -3 times 72.31\nAnswer: -216.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 76.8 - 76.3. Sort n, -9, 1\/5, -4 in ascending order.\nAnswer: -9, -4, 1\/5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2630561613.\nAnswer: 3, 131, 6693541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10.25 + 10. Let t = b - 0.15. Let n = 2 + 3. Sort n, t, 0 in descending order.\nAnswer: n, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 29906*x**3 + 1145*x**2 + x + 314496792 wrt x?\nAnswer: 89718*x**2 + 2290*x + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 AM and 2:23 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 10) to base 9\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1\/5, -1407, 168 in increasing order.\nAnswer: -1407, -2, -1\/5, 168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4 - -4)*(-6)\/(-18). Let g be ((-2 - s) + 2)\/(-2). Solve -d + 4*n = -n - 23, -3*d - 4*n - 7 = g for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*c**2 + 6*c**2 - 47*c**2 - 38*c**2.\nAnswer: -105*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(405)*2 + 2 + -5.\nAnswer: -54*sqrt(5) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -19 + 12?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 2284214?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 162763197?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:05 PM and 11:29 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -159*f = -420*f + 576810. What is the least common multiple of f and 1989?\nAnswer: 19890","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -85.4439 and 0.1.\nAnswer: -8.54439","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 17*i. Let c = -1736\/3 + 3473\/6. Let t(b) be the second derivative of 0 - 13*b - c*b**3 + 0*b**2. What is v(t(q))?\nAnswer: -17*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = l + 1. Suppose 3*i - 3*s = -45, s = 4*i + 6*s + 51. Let k be 10\/35 + (-24)\/i. Sort -1, l, k in ascending order.\nAnswer: -1, k, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4769 (base 10) in base 2?\nAnswer: -1001010100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*r = 16*r - 16 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times 837\nAnswer: 251.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the first derivative of k**4\/4 - 3*k**3 - 11*k**2 + 24*k - 176. Calculate the smallest common multiple of z(11) and 60.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8 and 424?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13782, 13417, 12908, 12255, 11458?\nAnswer: 10517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the first derivative of y**4\/20 + 47*y**3\/15 + 68*y**2 + 560*y + 10411. Factor f(t).\nAnswer: (t + 7)*(t + 20)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2 - -5) + -7)*(-3)\/18. Let k(q) be the first derivative of 0*q**2 - j*q**3 - 5 + q. Differentiate k(x) wrt x.\nAnswer: -4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*t**2 + 55035*t**4 + 4*t**3 - 10 + 9*t - 55034*t**4 + 11 as z*t**3 + p*t + k + l*t**4 + f*t**2 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 643?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 210 - 225 = -2*y, 0 = -4*b - y - 9 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 17 in -0.1, -2\/15, -2, -512799?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 2*g**5\/9 + 1694*g**4\/3 + 142330*g**3\/3 - 15250*g**2\/9 - 430384*g\/3 - 94888 = 0.\nAnswer: -2454, -87, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 333 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26895*45.\nAnswer: -1210275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -365 or -360?\nAnswer: -360","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -485 + 486. Suppose 0 = -3*o + b + 12, 0*b - 2*b = 6. Let q = 1.9 + 0.1. What is the biggest value in s, q, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 306 = 3*m, -3*m = -5*l + m - 546. Let b = -73 - l. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (-1 - 17)\/6\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-6 + 4 - -1) + 3 + -12\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3309358*v + 3309361*v = 5*z - 13, -4*z + 3 = 5*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**3\/11 + 18*g**2\/11 - 19*g\/11.\nAnswer: g*(g - 1)*(g + 19)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j. Let s(q) = -q + 1. Suppose 2*y + 5 = 3. Let r be s(y). Let a(o) = -o**2 + 2*o**2 + 2*o**r. Determine a(p(g)).\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -3*s**2 - 90*s - 633. Calculate x(-11).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -9, 9, 37, 81, 147, 241?\n\"Answer: f**3 - f**2 + 14*f - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -293 - 930*u + 290 - 174*u.\nAnswer: -1104*u - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, -14183, -1\/123, 0.2?\nAnswer: -14183","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5733, -11328, -16809, -22176, -27429, -32568, -37593?\nAnswer: -42504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 q when four letters picked without replacement from {q: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**2\/8 - 432255*g\/8 - 5834349\/4.\nAnswer: -3*(g + 27)*(g + 144058)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.77 (b) -2 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4561, 4613, 4665, 4717, 4769, 4821?\nAnswer: 4873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 10539, 8283, 4523, -741, -7509, -15781?\n\"Answer: -752*h**2 + 11291","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 2*q = 2, 2*d = -3*d - 5*q - 10. Suppose -2*n - d*n + 60 = 0. Calculate the remainder when 41 is divided by n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -2*m - 10. Let h = 148 - 148. Let l be c(h). Let g be -1 - (4 + l\/2)*103. Which is smaller: g or 101?\nAnswer: 101","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 83 - 2 - (-6)\/3. Suppose -b*z - 1655 = -88*z. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8\/10*10\/2. Suppose -j*y = -0*y + 16, -4*k - 5*y - 4 = 0. Calculate the lowest common multiple of k and 1 - -4 - 2\/(-1).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/(-2) + 33\/6. Suppose 0 = -m - 0 + 5, -r + 17 = 4*m. Calculate the smallest common multiple of 10 and h - 4 - (1 + r).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**2 - 6*u - 3. Let j be 6\/15 - 33\/(-5). Let c be b(j). Suppose -4*t + c*h = -60, 2*h = -3*t - 0*t + 70. What are the prime factors of t?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 17 + -3 + (656 - 662)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 837810?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**3 - 6*u**2 - 24*u - 17. Let w be g(9). Suppose 5*r - 50 = 4*c, -3*r + c + 39 = 9. Calculate the greatest common factor of r and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 0.059 (b) -66 (c) 0.5 (d) -3 (e) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 6644 and 8035186449.\nAnswer: 8035193093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q**3 + 5*q**3 + 3*q**3.\nAnswer: 9*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5734750 and 32480.\nAnswer: 2030","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01858659597 rounded to two dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2048 - 2064. Find the common denominator of i and -89\/258.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -262 divided by 131?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - 6 - -6 - -10?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 0 + 3 - 3*a - 3. Let t(m) = 2*m. Give g(t(s)).\nAnswer: -6*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98*g = 106*g - 209*g + 82945. List the prime factors of g.\nAnswer: 53, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.55013973 rounded to one decimal place?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(350) - 1*sqrt(350)*4 - sqrt(350) - sqrt(350))\/(sqrt(30)\/sqrt(3)*-3))\/(2*sqrt(252)*5).\nAnswer: sqrt(5)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbbbbbbbbbobbb. What is prob of sequence obb?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*b**2 + 2*b**3 - 7 - b**3 + 0 + b**3 in the form z*b**2 + f + d*b + q*b**3 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -166647*f**3*x**2 + 51*f**3 + 27*f**2*x**3 - 775*f**2 - 80 with respect to x.\nAnswer: -333294*f**3*x + 81*f**2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 22832388 by -2.\nAnswer: -11416194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 12 + 22 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 28028563 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the third derivative of 25*t**8\/1512 + 16*t**7\/189 + 2*t**6\/45 - 32*t**5\/135 + 4*t**4\/27 + 35*t**2 + t. Factor a(w).\nAnswer: 2*w*(w + 2)**2*(5*w - 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the third derivative of 3*o**4\/8 - o**3\/6 + o**2. What is the units digit of a(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 187?\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.03 - -0.13. Let t = 1.5 - 1.5. Which is the closest to 0.1? (a) g (b) t (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -1 + 76 + -63?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1c3b2a5a - -4?\nAnswer: 1c3b2a5e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75 = 5*u - 5. Suppose 0 = g - 5*g + 16, 2*a + 4*g = -18. Let j = a + u. Is 0 less than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 4*s - 11. Solve 2*p - 3*z + 8*z + 5 = 0, p = s*z + 3 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a meter in centimeters?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -2*z**4\/15 - 4*z**3\/15 + 14*z**2\/15 + 8*z\/3 + 8\/5 = 0.\nAnswer: -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, z: 4, m: 11}. Give prob of picking 2 m.\nAnswer: 55\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1077\/184 >= 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3 - -6)\/((-3)\/(-4)). Let u be h\/14 + (-57)\/(-21). Let a(q) = -5*q**2 - 4*q - 3. Let m(z) = -4*z**2 - 3*z - 2. Give u*m(c) - 2*a(c).\nAnswer: -2*c**2 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 303368?\nAnswer: 2, 13, 2917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = -u - n + 1, u + 4*n = -8. Find the second derivative of 0*r**u - r**4 + 0*r - r + 0*r**4 wrt r.\nAnswer: -12*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 73*i**2 - 20 - 39*i**2 - 33*i**2 - 5 in the form u + b*i**2 + a*i and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 405 = -t + 218, 4*t = 4*j - 648. What is the remainder when 905 is divided by j?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96 is divided by 83?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -976, -979, -992, -1021, -1072, -1151?\nAnswer: -1264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3518 - -20989\/6. Find the common denominator of 11\/29 and w.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 71806383?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 19432*v**2 - 873*v - 12 wrt v.\nAnswer: 38864","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g**5 + 4*g**5 - 16*g**3 + 45*g**3 + (1 + 3 - 2)*(-3*g**5 + 2*g**5 - g**5).\nAnswer: -g**5 + 29*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 1\/4, -5, 3 in increasing order.\nAnswer: -5, -0.2, 1\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the second derivative of 5*w**8\/336 - w**5\/12 + w**2\/2 - 4*w. Let j(i) be the first derivative of k(i). What is the third derivative of j(z) wrt z?\nAnswer: 300*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1649148+-0.17\nAnswer: -1649148.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7462 divided by -91.\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6481 + -3160. Calculate the highest common factor of p and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 4, o: 6, t: 5}. Give prob of picking 1 o and 2 t.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 446 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 98 and 20482?\nAnswer: 20482","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -218 - -238. Suppose 139016 = b*z - 12*z. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 5*f + 26 = 0, 5*h + 3 + 15 = 2*f for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 n when two letters picked without replacement from {x: 3, n: 5, p: 2}.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*z - 36*z - 2*n - 2 = 0, 2*n = -2*z + 2 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 279 a factor of 873054790?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 421173 and 2565.\nAnswer: 513","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -73, -143, -211, -277, -341?\n\"Answer: t**2 - 73*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 5, 177, -2, -5 in decreasing order.\nAnswer: 177, 5, 4, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.137 - 42.263. Let a = -38 - h. Let i = 0.4 - a. Put -3\/5, i, -0.4 in descending order.\nAnswer: -0.4, -3\/5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.9687 - 0.0313. What is the closest to 5 in q, 0.3, 1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 4*p + 13, -2*z + 2 = 5*p. Let x = z - 7. Suppose x*d + 34996 = -s, d - 5496 = -s - 40495. What is s rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((3*(-9)\/(-135))\/2).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(2\/25)\/((s*s**(1\/6)*s)\/s))\/(s*s\/(s*s**(-1\/5))*s**(-7)))**(-2\/23) assuming s is positive.\nAnswer: s**(-707\/1725)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -118*p + 7199. Determine z(61).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25 and 800?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 42*q - 44*q. Let j be 6\/(-4)*23*(-4)\/q. Let o be (3 - (-693)\/22)\/((-2)\/(-4)). What is the greatest common factor of j and o?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-6*(2 + sqrt(208) + 4) + 0 + (sqrt(208) + (3 + sqrt(208) + sqrt(208) + sqrt(208) + sqrt(208) - sqrt(208)))*-3 + 5.\nAnswer: 140 + 48*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h - 6. Suppose w - 2 = f - w, -f + 3 = -w. Let r be j(f). Suppose -2*u = -r*z - 3*u + 22, 4*z - 4*u - 32 = 0. List the prime factors of z.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 14 = -2*p, -1170*s + 28 = 4*p - 1166*s for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 723 = 3*c, 241 = c - 7*d + 9*d. Let j = c + -226. Solve -2*f + 4*y - 1 + 21 = 0, 5*f - 3*y = j for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2560596870?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 34 - 34. Let h = 5 - 6. Which is smaller: h or t?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14592514483 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 5*g = 31 + 20, 3*g - 167 = -4*a. Factor -38 + 4*r**3 + 5*r**3 - 11*r**3 - 3*r**3 + 2*r + 3*r**3 + a*r**2.\nAnswer: -2*(r - 19)*(r - 1)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - 6) + (11 + -21 - 2).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 4*w = -28, -4*h + 21 = 14*w - 13*w for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes after 10:26 PM?\nAnswer: 9:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 4*y - 1597 = -1633, y = 4*j + 39 for j.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 2*u**2 - 37*u + 85. Let a be h(16). Let s(v) = 5*v + 1. Let b be s(2). What is the remainder when 39 is divided by (12\/a)\/(b\/55)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -0*y - 2*y. Let c(b) = b**3 - 2*b**2 + 2. Determine c(y).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 198, -18, 0 in ascending order.\nAnswer: -18, 0, 198","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(3\/8)*o\/o**(-7))\/(o*o**2*o)**(1\/8) assuming o is positive.\nAnswer: o**(63\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 1, 3, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 2 = 0, -3*j + g + 71 = 75 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 25 + 10 = 0. Let f(c) = c**2 - 4. Let r(i) be the first derivative of i**3\/3 - 5*i + 1. Let g(b) = z*r(b) - 4*f(b). Factor g(q).\nAnswer: -(q - 1)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-m + 0*m + 0*m + (1 - 3 + 3)*(3 - 2*m - 3))*(-1 - 10 - 5)*(-123*m**2 - 52*m**3 + 123*m**2) to z + u*m + w*m**2 + g*m**3 + k*m**4 and give k.\nAnswer: -2496","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -6 + 5 - 0 - -4?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/8)\/((-77)\/132).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r**1*r)\/r)\/r)\/r)**(1\/35)\/(r**6*r**7)*(r*r**(3\/10)*r**0)**(-16) assuming r is positive.\nAnswer: r**(-1184\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/11 (b) -1969 (c) 4 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/2 (b) 196 (c) -0.005 (d) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 112080802.\nAnswer: 2, 127, 441263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 55, 201, 441, 775, 1203, 1725?\nAnswer: 2341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u - 5*u + 3*u)*(-u + u + u) + 4*u**2 + 2*u**2 - 4*u**2 - 5 + 5 - 2*u**2 - 2*u**2 + 1 - 1 + 7 - 4 - u + 0*u + 2*u**2.\nAnswer: -u**2 - u + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**2. Let u(t) = -17*t + 499. Calculate s(u(n)).\nAnswer: 289*n**2 - 16966*n + 249001","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**2 + 16*n + 10. Let x be r(16). Calculate the highest common divisor of x and 290.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 2*u**3 + 69*u**2 - 367*u - 13428. What is x(-33)?\nAnswer: 1950","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 2*w**3 + 1)*(-1 + w + 1) + 3*w**4 - w**4 - 4*w**4 - 2*w**2 + 2*w**2 - 2*w**4)*(8 - 24 - 30).\nAnswer: 276*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -40*p - 10. Let m be u(-9). Find the common denominator of 4\/14 + 2105\/m and -1\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 588 or -75?\nAnswer: 588","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 7 - 41*l + 18*l + 9*l - 13*l - 86. What is x(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 35*l - 644. What is the remainder when 41 is divided by m(19)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p*p*p**(23\/2))\/(p\/p**17))\/(p**(-16)\/(p*p\/p**(-9))))**(-15) assuming p is positive.\nAnswer: p**(-1725\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -5670213 plus 269.68137?\nAnswer: -5669943.31863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 214 a factor of 8044688?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*h + h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12681073*s*z**2 - 371303*s*z + 4 wrt z.\nAnswer: 25362146*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 8 = 28. Solve -4*r = r - 3*h + 11, 2*r = a*h - 12 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20.05 - -12.34. Let i = 15.01 + -16.1. Let a = i + f. What is a rounded to 0 dps?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 36\/5 - 38\/5. Let k = 338 + -338. Let p = 22 + -15. Which is the third smallest value? (a) p (b) v (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m**2\/8 - 2952*m - 23619\/8 = 0. What is m?\nAnswer: -1, 7873","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -979279.169 and 11.06?\nAnswer: 979290.229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 174352 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - 6436461.\nAnswer: -6436463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 + 4)*(0 - 7 + 1)*(-3*x + 15*x + 7*x).\nAnswer: -798*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 150 and 1364638275.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(2*-5*(3 + sqrt(468))*-4*6 + 1)**2.\nAnswer: -137383205 - 10382400*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 154 and 2581062.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:47 PM and 10:43 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 - 9\/(-3) - 12. Let h be (14\/(-3))\/(6\/f). Suppose -193 = -3*i - 0*j + 5*j, j = -5. What is the greatest common factor of h and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1633, -1630, -1631, -1636, -1645, -1658, -1675?\nAnswer: -1696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 118222.\nAnswer: 2, 13, 4547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 148*g + 158*g + 148*g - 612*g + 158*g + 15*g**2.\nAnswer: 15*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 77 and 21.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o**(2\/13)*o)\/o**2)\/(o**(-4\/3)*o**1))**24 assuming o is positive.\nAnswer: o**(152\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 5 + 34 = 3*x, 0 = -5*z - 3*x - 70. Let y be (-328)\/(-84) + (z - -7). Which is smaller: y or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**2 - 17. What is x(0)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 5835*a - 5837*a for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -13.7 (b) 0.04071 (c) 2 (d) 1 (e) 3 (f) 2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**2 - 6. Let b(m) be the second derivative of -5*m**2\/2 - m + 8. Give 6*b(r) - 5*p(r).\nAnswer: -5*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -3*v**2 + 3. Let q(u) = 3*u**2 - 2. Let w(i) = 2*m(i) + 3*q(i). Let h be w(-6). Suppose 5*f - f = h. Does 15 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or 6382\/2789?\nAnswer: 6382\/2789","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3 - i**2 + 1. Let r(v) = v**2 - v + 4. Let x(w) = r(w) - 2*u(w). Suppose -m = 4*j - 4 - 3, -3*j - 5*m + 1 = 0. Give x(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 11*p**2 + 32*p + 4. Let t(i) = 26*i**2 + 66*i + 10. Let r(k) = 2*t(k) - 5*x(k). Let c(y) = 3*y**2. Determine r(c(d)).\nAnswer: -27*d**4 - 84*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -32036\/23 or -1393?\nAnswer: -1393","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -6*h - 17 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -4*y**2 - 149*y - 21. List the prime factors of z(-22).\nAnswer: 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of 0*x**6 + 0*x**2 - 4\/7*x**7 + 0*x + 0*x**4 + 0*x**5 - 4\/3*x**3 + 6. Find the third derivative of h(o) wrt o.\nAnswer: -480*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-13 - -24)\/((-2)\/52). Which is smaller: -287 or p?\nAnswer: -287","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**2. Let m(v) = -5*v + 22. Let p be m(4). Let d(o) = 40*o + 5*o + p*o. Determine d(s(g)).\nAnswer: -47*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x = 3*y + 5*x - 3380, 4*y + x - 4509 = 0. Do 1130 and y have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0286888971 - 4375?\nAnswer: -4375.0286888971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, 3\/8, 0.4 in increasing order.\nAnswer: 3\/8, 0.4, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (3*(-4)\/24)\/(35\/1680)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -114 divided by -586.\nAnswer: 57\/293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**3 + q**2 - 2*q + 4. Let r be i(0). Let c be 7*1\/6 + r\/(-24). Are c and -2\/7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -g**2 + 2*g**3 - 2*g**2 + 3*g**2 + 0*g**3.\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange s + 8 - 10*s + 32*s - 30*s - 9*s**2 - 5*s**2 to z*s + p*s**2 + y and give z.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (17\/(-2) - (11 - 22))*564\/10. Calculate the highest common factor of t and 611.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s = -4405 + 4393. Suppose -2*c - 3*u = -23, -3*c + 8*u - 13 = 3*u. Suppose c*w + 27800 = s*w. Round w to the nearest one thousand.\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67 = 50*l - 367. Sort 2, -3, -7, l.\nAnswer: -7, -3, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40822 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76) + 0)*-5 - (sqrt(76) + sqrt(76) + -4*(1 + sqrt(76))))**2 - (-3 + (sqrt(76)*2)\/sqrt(4))*-3*-2.\nAnswer: -60*sqrt(19) + 718","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -240696, -481332, -721958, -962568, -1203156, -1443716, -1684242, -1924728?\nAnswer: -2165168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -9*m**2 + 7*m - 26. Let i be u(-7). Let x = 830 + i. What is the hundreds digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((24\/2)\/60)\/(-1)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2384 - -2389. Solve -4*b = -4*r + 5*r - 22, b = 5*r - l for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -413 = -2*x - 3*j, 0 = -0*x - x - j + 208. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 145 - 2290*a + 146 - 310.\nAnswer: -2290*a - 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 12 = 5*d, z + 0*z - 12 = -2*d. Sort -4, 5, d in increasing order.\nAnswer: -4, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(5*2*sqrt(77))\/(sqrt(77)\/(sqrt(22)\/sqrt(2))) + 2)**2.\nAnswer: -160*sqrt(11) + 17604","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -30.54 + 34.54. Let h = 30.044 + -0.044. What is the smallest value in 1\/3, q, h?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -61 + 61.00027. Round l to four decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/18 - (-68)\/18. Suppose 2*w = 3*v + 27, w + 12 = m*w + 5*v. Suppose -r + 7 = 3. Solve 3*g + w = 5*t + 32, 0 = 5*t - r*g + 24 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1835 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3071*l**2*t - 2*l**2 + 121*l*t - 6621344*t wrt l.\nAnswer: 6142*l*t - 4*l + 121*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a hour in minutes?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oxscaaxg. Give prob of sequence co.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -289*r + 138*r - 119*r - 338*r to the form u*r + g and give u.\nAnswer: -608","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w = -5*m - 102 - 23, 62*m = 2*w - 413 - 1137 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w = -2*g + 29, -982 = -w + 3*w - 968 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 9 + (-22 - -16) + 10 + 10 + -7\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((16\/(-84))\/(6\/(-147)))\/(59\/(-354))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3539739696 to the power of 1\/3, to the nearest integer?\nAnswer: 1524","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65 + 19 - 4*g + 118 - 86.\nAnswer: -4*g - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.4 (b) -0.02 (c) 2 (d) 3\/257 (e) -0.05 (f) -8 (g) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1197443 and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 - 0 - (-42)\/20. Let h = 17\/30 + g. Which is smaller: 2 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of -p**5\/60 + p**4\/4 - p**3\/2 - 3*p**2\/2 - 2. Let y(h) be the second derivative of c(h). Calculate y(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.2 - 2. Let p = 5.41 + -0.41. Which is the nearest to l? (a) 1\/8 (b) p (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -6*o**2 - 2*o + 1. Let b be (39\/52)\/((-2)\/(-96)). Suppose 0 = 3*m - m - b. Suppose 0 = r - 4*g - m - 3, 5*r + g = 0. Calculate d(r).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 3*k**2. Let a(n) = -30*n + 10. Let d(y) = 15*y - 6. Let c be -10*(36\/8 - 4). Let q(u) = c*d(u) - 3*a(u). What is q(l(f))?\nAnswer: 45*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4002*u**4 - 1729*u**2 + 1 wrt u?\nAnswer: -96048*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 38*w - 5. Let o(q) = -q - 1. Give 3*o(u) - s(u).\nAnswer: -41*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 65 - 55. Let t(n) = f + n - 10 - 5. Let v be t(9). Solve -v = 2*y + 2 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 5*y - 68*b + 72*b, -8 = 4*b. Solve 9*r = 4*r + 15, y*z - 2*r = 4 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 0.1, 14\/5, 6?\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 87683929423 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 13395?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*j + 6*j**3 - 6*j - 3*j**2.\nAnswer: 6*j**3 - 3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -3*y**2 + 1 + 4*y - y**3 + y**3 + 2*y**3. What is the units digit of g(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 24*s**2 + 3*s - 82. Let y(w) = -47*w**2 - 6*w + 162. Let j(p) = 5*d(p) + 2*y(p). Differentiate j(z) with respect to z.\nAnswer: 52*z + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33714, -33711, -33708, -33705, -33702?\nAnswer: -33699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.7 - -4.7. What is the third smallest value in g, 2, 0.08?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 + -3 + 7 + 7\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -46*p**2\/9 - 1322*p\/9 + 7708\/3.\nAnswer: -2*(p + 41)*(23*p - 282)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2454453 (base 6) to base 13.\nAnswer: -48090","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*(-22)\/33)\/((484\/(-330))\/(-22))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -121188 + 172333. Does 95 divide t\/212 + 10\/(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(2\/13))**(-30))**13*o**(-4)*o*(o\/(o\/(o\/(o**(3\/4)*o))))\/o*o**(-2\/3)\/o**(-3\/4) assuming o is positive.\nAnswer: o**(-194\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -107 - -40. Let w = -41 - h. What is the remainder when w is divided by 18?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -4*x - 0*h + 47, 2*x + h - 25 = 0. Calculate the least common multiple of 7 and x.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 6, q: 5, b: 4}. What is prob of sequence qbqq?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 48.8 - 26164678.4244\nAnswer: -26164629.6244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2\/5, 72, 1.9, -1\/5, 7\/6, -1\/3, 1\/2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 125641.\nAnswer: 125641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3989*m**2 + 462*m**3 - 999*m**3 - 1882*m**3 wrt m.\nAnswer: -14514","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -693680 divided by 2990?\nAnswer: -232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 59470508?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 4*k**2 - 4*k - 103. Give q(7).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/(-15))\/(-6*(-114)\/(-120))?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, 1, 2, 1356.\nAnswer: -22, 1, 2, 1356","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 151\/60 and 77\/3270?\nAnswer: 6540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2\/21 + -11\/105. Let u = 0.08 - 5.08. Which is the third smallest value? (a) s (b) -3\/2 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 56\/11079 and 64\/96331905.\nAnswer: 96331905","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 29, 186, 633, 1514, 2973, 5154, 8201, 12258?\n\"Answer: 24*b**3 + b**2 - 14*b + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11\/((-55)\/(-6)))\/(-2*7\/35)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1027*c - 3 = 1029*c - 13*n, 35 + 19 = -3*c + 3*n for c.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 9*l - 10*l = -10, -3*k - 4 = -5*l. Solve -k = -d + 3 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 15 = -3*l, -k = -4*l - 4*k + 9 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 2857496400 to the nearest 1000000.\nAnswer: 2857000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -191411173.\nAnswer: -1\/191411173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 124*p + 8 = 122*p, a - 5 = 2*p for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1396864717 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21650293 is divided by 1204?\nAnswer: 1169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 452*l**4 + 175*l - 4.\nAnswer: 5424*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.22 rounded to 0 dps?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1375) + -1*sqrt(1375) + sqrt(55))\/(sqrt(275) - sqrt(275)*-1 - sqrt(275)).\nAnswer: sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5397067 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -285 + 290. Suppose -f*g + 654050 + 480950 = 0. What is g rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 - 18*y**2 + 32*y - 8. Let x be (2*(-4)\/24)\/((-18)\/5184*6). Calculate r(x).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 242953*c - 4 - 630631*c.\nAnswer: -873584*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 217 + 248. Let t = -99 - -103. Suppose 0 = 5*l + x + 4*x - r, 0 = t*l - 3*x - 103. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 12) + 1 + 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -9*(168\/972)\/(-7)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10201321 (base 4) to base 16.\nAnswer: -4879","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 31*v**3*y - 24312*v**3 + 23*v**2*y + 9*v*y + 48*y wrt v?\nAnswer: 186*y - 145872","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((5047\/2884)\/((-14)\/(-12)))\/(-10*(-5)\/(-60))\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 17196 divided by 3?\nAnswer: 5732","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand l**3 + 2*l**3 - 6*l**3 + (3*l**2 - l + l)*(-5 + 3*l + 5).\nAnswer: 6*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:42 PM and 7:54 PM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2835 is divided by 142?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*t - t - 51. Let f(g) be the third derivative of 7\/9*g**4 - 4\/9*g**t + 0 + 0*g - 2*g**2 - 49\/90*g**5. Suppose f(p) = 0. What is p?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28) + 2)**2*6.\nAnswer: 48*sqrt(7) + 192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/80 and 99\/97300.\nAnswer: 389200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1732462, 1732456, 1732450, 1732444, 1732438?\nAnswer: 1732432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**3 + 9*q**2 - 2*q. Let d be i(8). Let h be d\/(-18)*(-3)\/(-2). Let j(s) = -s. Let u be j(-1). Sort -5, h, u in increasing order.\nAnswer: -5, h, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.8? (a) -4 (b) 0.6 (c) -3 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the second derivative of 0*y**3 + 31\/6*y**6 + 0*y**5 + 0*y**2 + 6 + 2*y + 33\/4*y**4. Find the third derivative of d(s) wrt s.\nAnswer: 3720*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 - 1120\/110)*(-3 - -4)\/2.\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 11 = 45. Suppose -5*x = 7 - n. What is the units digit of 440\/(-33)*12\/(-10)*x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/23)*n\/n**(-7)*n)\/(n**(-3\/5))**42 assuming n is positive.\nAnswer: n**(3943\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 4*m**2 - 171*m + 3. Let x(i) = 8*i**2 - 282*i + 5. What is -5*q(h) + 3*x(h)?\nAnswer: 4*h**2 + 9*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) -5 (b) 105\/96286 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24728 - 12364 - 12364 + 86466*z.\nAnswer: 86466*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-30)\/135*4 - (-107)\/90. Let o be (-14)\/(-105)*3\/4. Find g such that -o*g - h*g**2 + 3\/10 + 1\/10*g**3 = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, c: 1, w: 2, t: 1, r: 2}. Give prob of picking 1 c and 1 z.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (1 - 0 - -21) - (34 - 34)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 857192 by 14.\nAnswer: 61228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j*j\/(j**(-1\/4)*j)*j*j)**(-48)\/((j*j**(3\/7))\/j*j\/j**(-2\/5)))**(2\/29) assuming j is positive.\nAnswer: j**(-14408\/1015)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1310483*i*q**4 + 56*i*q - 3636*i - q wrt q?\nAnswer: -15725796*i*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2810*n**2 + 45351046 - 45351046.\nAnswer: -2810*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 5, t: 4, q: 1, c: 1, f: 4}. Give prob of picking 1 d, 1 f, 1 c, and 1 t.\nAnswer: 16\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 0 = -0. Let p = 16\/9 + -10\/9. Let y = -201\/515 - 1\/103. What is the closest to 0 in y, p, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the first derivative of -61*q**4\/2 + 12*q**2 + 225. What is the second derivative of d(k) wrt k?\nAnswer: -732*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -8229 - 155?\nAnswer: -8383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 72 and 132?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -106 (base 9) to base 7.\nAnswer: -153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -23*w. Let k(z) be the second derivative of -29*z**4\/6 - 653*z. Determine k(a(d)).\nAnswer: -30682*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14.2 - 14. What is the closest to 1 in l, 2, -0.4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18013 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(363) - (3 + sqrt(363))) + 4)**2 - (sqrt(3) - (sqrt(3) - (sqrt(3) + 1*(3 + sqrt(3)))) - (sqrt(27) + -5))**2.\nAnswer: -71 + 16*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (171\/76)\/(-2 + -1). Let l = 0.45 - 0.05. What is the smallest value in n, l, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 321?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes before 1:01 PM?\nAnswer: 5:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 94 - 16. Suppose w*u = 73*u + 5. What is the second biggest value in -11, -2\/3, u?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 72 and 5832.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + -8. Suppose 21*x - 49 = 56. Let t = 106 + -97. What is the biggest value in x, c, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 4*h**3 + 71*h**2 - 141*h - 4. Let s be n(2). Solve 26*m - 160 = -s for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -936721, -1873465, -2810203, -3746929, -4683637, -5620321?\nAnswer: -6556975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1340, -15418.\nAnswer: -15418, 2, 1340","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -142707.6 rounded to the nearest 10000?\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 244941430?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*o - 4*v, -3 = o + 5*v - 0. Let b(a) = a + 3. Let l(h) = 1. Determine o*b(z) - 5*l(z).\nAnswer: 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*x + 3*x - 4*x)*(-14 + 16 + 4)*(2 + 4 - 1) to the form w + q*x and give q.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 4*i - 3*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10? (a) 0.0189 (b) -1 (c) -0.4 (d) -57 (e) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 533605 (base 7) to base 13\nAnswer: 33196","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 8*z**5\/3 + 12838*z**4\/3 - 281294*z**3 + 70056*z**2 = 0.\nAnswer: -1668, 0, 1\/4, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/134280 and -95\/13428.\nAnswer: 134280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 3*r - 18. Let i be u(10). Let d be (-16)\/(-12)*3\/i*42. Put 4, d, -5 in ascending order.\nAnswer: -5, 4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 3\/4 (c) 1.1 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**2. Let a(i) be the second derivative of 3*i**4 + i**3\/6 - 50*i. Give a(m(f)).\nAnswer: 36*f**4 + f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/156*(-1 - 1)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (10\/236)\/((-20)\/(-32)). What is the closest to p in 0.2, -2, 1\/2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*h**3 + 5800897*h**2 - 2 + 2.\nAnswer: 2*h**3 + 5800897*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12, 25, 98, 213, 376, 593, 870, 1213?\nAnswer: 1628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 756 a multiple of 84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17767.\nAnswer: 109, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 23351 and 10.\nAnswer: 233510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, v: 2, h: 1, b: 6, c: 4}. Give prob of picking 1 c and 1 b.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 929, 909, 889, 869, 849?\n\"Answer: -20*k + 949","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14 + 14. Solve d = 5*m - 11 + 1 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.0774 rounded to 0 dps?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 + -29. Let u(m) be the first derivative of m**2\/2 + 20*m - 10. Let f be u(a). What is the smallest value in -5\/2, 12, f?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -329301723 or -329301724?\nAnswer: -329301723","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 + 4*h**2 + 3*h + 7. Let p be s(5). Let n = 2 - p. Is n a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/2)*k*k)\/k*k**(-2\/7)*k**(-6\/5)*(k\/(k*k**(-2)*k))\/k*k assuming k is positive.\nAnswer: k**(1\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 910.0038l in millilitres?\nAnswer: 910003.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*c + 0*c - c.\nAnswer: -10*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = 5*s + 13, 1161*i + 1 = 3*s + 1165*i for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.125 minus -639.4?\nAnswer: 639.275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 2)*(8*z**4 + z**3 + z - z**5 + 19*z**4 + 0*z**3).\nAnswer: -z**5 + 27*z**4 + z**3 + z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 614?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -6683*r + 56. Let b(a) = -3341*a + 22. Determine -5*b(w) + 2*d(w).\nAnswer: 3339*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 3 + (-1 + 1 - 1)*(6 - 2 - 3))*(-3*n + 6*n + 8*n).\nAnswer: 11*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20 and 98?\nAnswer: 980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the second derivative of -33*h + 0 + 23\/10*h**5 + 59\/2*h**2 + 0*h**3 + 0*h**4. Find the first derivative of r(d) wrt d.\nAnswer: 138*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -5*c**3 - 3*c + 3. Let g be (7\/(-42)*3)\/(2\/8). Let q(v) = -5*v**3 - 2*v + 2. Determine g*s(m) + 3*q(m).\nAnswer: -5*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*f**3 + 3*f**2 + 2*f**3 + 7*f**2 - 5*f**2 + 3 to the form y*f + a + g*f**2 + x*f**3 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 0*x = -10. Let w be (53\/(-3))\/(x\/(-30)). What are the prime factors of w + 1\/((-3)\/12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 299514?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/875598 and 71\/66.\nAnswer: 9631578","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 243974153 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3340630?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 9*w - 5 + 3 + 10*w**2 - 4 - 5*w**2. Let z(q) = -14*q**2 - 27*q + 17. Let y(t) = -17*u(t) - 6*z(t). Let m be y(9). Solve m*d + 15 = 3*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 20 + 25*t**2 - 49*t**3 + 40*t + 51*t**3 - t. Let d be w(19). Suppose 7*q + d = -5196. Round q to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 57559 - 39935. Is 8 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aqcbdc. Give prob of picking 1 b, 1 d, and 1 a.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let v be (-11392)\/112 + 2\/(-7). Calculate the remainder when 82 is divided by ((-2)\/3)\/(4\/v).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(352)*-2 + sqrt(352))\/sqrt(11).\nAnswer: -4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -532 + 529.27. Let o = j - 0.07. Let t = o + 0.8. Sort t, -0.1, -4 in descending order.\nAnswer: -0.1, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41692866?\nAnswer: 2, 3, 577, 12043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (1\/2*2)\/(41\/12341)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 divided by -18208?\nAnswer: 15\/9104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 81181 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 12, -1 in decreasing order.\nAnswer: 12, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.03 in -4, 1\/1677, 6\/13?\nAnswer: 1\/1677","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/(3 + -14 + 10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16.9491 - -20.9491. Let n be -2 + -18*(-6)\/45. Let h be ((-2)\/(-2))\/(2\/4). Which is the closest to 0.15? (a) h (b) r (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.64988 rounded to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 + p - 3. Let f(q) = 2*q**3 + 4*q**2 - 2*q - 44. Calculate f(g) - 4*w(g).\nAnswer: 2*g**3 - 6*g - 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 5*g + 9 = 2*d, 0 = 4*g - 4*d + 4. Sort 4, g, 2 in decreasing order.\nAnswer: 4, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34059862 a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 14*w = 50, -13 + 7 = 4*b - 2*w for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -52.9 + 60. Let p = -7 + c. Let s be (6\/10)\/(20\/(-25)). What is the closest to 3 in -5, s, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 124 + 16. Suppose 4*z - s + 12 = 0, 0 = -4*z - s + 6*s - l. Let d = -1612 + 1611.8. What is the third smallest value in z, d, -5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -114b4 (base 14) in base 6?\nAnswer: -522530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 1292?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 11021202102 (base 3) to base 10\nAnswer: 84386","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5466.\nAnswer: 2, 3, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 13 = 4*t, 1 = 4*t - 7 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/264 and -71\/231?\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4\/1987, -23\/3, 0.4, 23.3?\nAnswer: -4\/1987","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 1146?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 95090760 by 264141.\nAnswer: 360","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 63 and 105?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 9798, 10179, 10560, 10941, 11322?\n\"Answer: 381*m + 9417","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6461 is divided by 71?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58*l**2 - 107*l**2 + 50*l**2.\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) -1\/3 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12538594*p**2 - 6269293*p**2 - 6269300*p**2.\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + 1 + 7 + -5 + 0.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k**5\/5 - 12*k**4 = 0. Calculate k.\nAnswer: -15, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 bigger than 23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7431, 4226, 1021, -2184?\nAnswer: -5389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1.1 or -75.8?\nAnswer: -75.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/16 - 35\/(-92). Which is greater: 1 or c?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 39 and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16507\/18 - -909. Find the common denominator of (-453)\/18 - (-1)\/1 and t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -766*d + 755*d - 3 + 3.\nAnswer: -11*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p**(1\/11)*p))**40 assuming p is positive.\nAnswer: p**(-40\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 - 1)*(-2 + 3 - 4)*(-3*k + 3 - 3)*(-123*k + 873*k + 7693 - 7693) as d*k + a*k**2 + x and give a.\nAnswer: -6750","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(1\/3)\/j)**(2\/25))**(11\/4)*(j*j\/(j\/j**0)*j)**(-3)*(j**3*j)\/j*j**(-3) assuming j is positive.\nAnswer: j**(-461\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17300 and 10460272?\nAnswer: 692","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 7*d - 341. Determine a(38).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 26 - 49. Suppose 5*z - 4*v - 226 = 0, -2*z - z + 118 = 2*v. Let n = z + a. What is the remainder when n is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18\/(-24) + 4\/((-16)\/(-1343)) is divided by 57?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(1\/7)*(t**(-6)*t)\/t*t*t*(t**(-1\/3))**(-48) assuming t is positive.\nAnswer: t**(85\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10828, -10830, -10832, -10834, -10836, -10838?\nAnswer: -10840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 2075*l**2 + 2090*l**2 + 5.\nAnswer: 15*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the third derivative of -163*o**8\/56 + 37*o**4\/24 + 449*o**2 + 3. What is the second derivative of v(n) wrt n?\nAnswer: -19560*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c**3 + 180486*c**2 - 2714599683*c = 0.\nAnswer: 0, 30081","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*k**2 + 11*k**2 + 59*k - 59*k in the form f + h*k**2 + r*k and give h.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18 - -108. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5 or 84\/19?\nAnswer: 84\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22281 is divided by 696?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**2 + k + 23. Calculate o(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(((-540)\/(-216))\/(5\/16))?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3675 and 4892475.\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 14 = 5*j. Solve 3*s - 4*s = j for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-8 - -3)\/(-5) + 10. Let k = 22 - f. List the prime factors of k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 5.4 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -33 * 17470\nAnswer: -576510","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 518 + -348. Suppose -j = -6*c + 178. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11)*1*-6 + -5.\nAnswer: -6*sqrt(11) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/76178448 and -163\/9576.\nAnswer: 533249136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42155?\nAnswer: 5, 8431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m - 2*m + 6*m)*(-3*m**2 + 3*m**2 + 2*m**2) - 13*m**3 - m + 0*m - 4*m**3.\nAnswer: -13*m**3 - m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 200440 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the first derivative of 8*c**5\/5 - c**4\/2 - 29*c**2\/2 - 9224*c - 8020. Find the first derivative of q(d) wrt d.\nAnswer: 32*d**3 - 6*d**2 - 29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*p = 28*p + 155*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (30 - 12045\/297)*-1 + (-18)\/2\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 352045010 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -132187339\/543 - -243439. Find the common denominator of m and 61\/2172.\nAnswer: 2172","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the third derivative of z**6\/120 + z**5\/20 - 7*z**4\/24 - 3*z**3\/2 - 22*z**2. Let w be b(-5). Which is smaller: -23 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:09 PM and 4:19 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4914 + 16662*m + 4914 - 16664*m.\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7698*d**3 - 2598*d**3 - 643*d**3.\nAnswer: -10939*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 4 = 4*y - 80, 0 = -4*y - 5*u + 87. Suppose -5*i = -2*i - y. Find the third derivative of 9*s**2 - i*s**2 - 3*s**5 + 0*s**5 wrt s.\nAnswer: -180*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 + (3 + -6 - 5). Let y be 5\/(((-3)\/m)\/1). Is 1576\/y + (-10)\/(-25) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23183 at most -3480?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -126 - -262. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 5*b - 280. Suppose 8 = -4*f, 23*l - 22*l - 5*f = 124. Let d = b + l. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.1, 3\/2, 0.2, -6?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 578911.7 millilitres?\nAnswer: 578.9117","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/2 smaller than 114?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -368 + 55?\nAnswer: -313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 143 + -141 - (0 + -2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 393 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10 + 10 + 7*j**3 + (4*j - 2*j + 2*j)*(20*j**2 + 32 - 32).\nAnswer: 87*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21 - -317\/15. Which is the closest to 0.1? (a) q (b) 1\/3 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.5362 + -0.3362. What is the fourth biggest value in l, -2, -1.9, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 3*v - 7*v, 0 = -h + v - 7. Let t be -2 + (0 + 2 - h). Suppose -w = 4*f - 21, 0 = -2*w + 2 - 0. Solve f*g = t*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -17.0509 * -0.5.\nAnswer: 8.52545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 879?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 51 = 5*p, 5*q = -3*p - 5 - 46. Is (4919\/(-5))\/(p\/60) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 - ((-15134)\/88)\/1. Let v = -679\/4 + x. Calculate the common denominator of 5\/22 and v.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7 and 2887.\nAnswer: 20209","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -124*r - 98. Let l(i) = 23*i + 20. Let c(o) = -16*l(o) - 3*v(o). Give c(10).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.4105565kg?\nAnswer: 410556500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeeeee. Give prob of sequence ee.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 15*r**4 - r**4 - r**4 + (-r**2 + 0*r**2 - r**2)*(-9 + 9 - 8*r**2).\nAnswer: 29*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of (-3)\/(1 - (-56)\/(-50))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6484537 is divided by 178?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n, 5*n = 4*j - 83 - 25. What is the smallest common multiple of j and 72?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107.64129 microseconds in minutes?\nAnswer: 0.0000017940215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76 = 3*q + 152. Let l be q\/(-57)*(-54)\/(-8). Solve -3*j = -0*j - l for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 18\/5 of a kilometer?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o**3\/5 - 4*o**2\/5 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 494*k**4 - 14252*k - 32544750?\nAnswer: 1976*k**3 - 14252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hjyssnhyhyly. What is prob of sequence hnj?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1358 - -1310. Which is smaller: u or 3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 j when two letters picked without replacement from {k: 2, g: 1, j: 4}?\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 111143 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 8*n**3 + 962*n**2 + 263*n + 923. Determine b(-120).\nAnswer: -1837","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 249 - 118. Let q = 130.9 - j. Which is the closest to q? (a) 3 (b) 2\/11 (c) -41\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 1868.\nAnswer: 5604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5092481183 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 133 = 3*d, -154*f + 156*f + 98 = 3*d. What is the highest common divisor of 1692 and d?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 500729431 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 0 + 27\/2*t**3 + 33*t**2 + 0*t - 3\/2*t**4 = 0.\nAnswer: -2, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 21 (b) 2 (c) -2\/5 (d) -0.866 (e) -3\/8 (f) 0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25 - 7 - (-3 + 16 + -21).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, -4, -1, 377, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 121358 + -2058922\/17. Let d = 245 - v. Is -2 smaller than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3823747.\nAnswer: 3823747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*x + 302 + 220 - 2 = 0 for x.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6.19*0.1.\nAnswer: -0.619","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the second derivative of h**5\/20 - h. Let x(z) be the first derivative of z**4\/4 + z**2\/2 - 853. Give -3*k(b) + x(b).\nAnswer: -2*b**3 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 100465 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 n(u) = -u**5 - u**3 - u**2 - u + 1. Let v(s) = -4*s**5 - 5*s**4 + 11*s**3 + 11*s**2 - 4*s - 6. Let j(f) = n(f) + v(f). Factor j(z).\nAnswer: -5*(z - 1)**2*(z + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 53.9 + -50. Let s = g - -0.1. Let r = s + -9. What is the third smallest value in -3, -1, r?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.9662 centuries in millennia?\nAnswer: 0.59662","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/13 + 134\/26. Suppose 4*r - 4*n - 16 = 0, 6*n = c*n - 1. Suppose -h = r*h. Is h greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 0\/(-3 - -6) - -13 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2446524 and 3564?\nAnswer: 26911764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, p: 11, d: 1}. Give prob of sequence ipd.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -26 - -64. Calculate the lowest common multiple of g and 14.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 3*f = -224. Is 32 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 20 - 17. Suppose -h = -a*h + 10. What is the third biggest value in -1\/2, -3, h?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 214*m**2 - 4*m + 4. Is 39 a factor of t(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22 - 18 - -140 - 26) + 23.\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3978\/5 equal to 858?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83338 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -1350*r - 533828. Give w(-396).\nAnswer: 772","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1243189.\nAnswer: 19, 59, 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 + 10 = -3*p. Is (7 - p) + (-2)\/(-1) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -93 (base 10) to base 16.\nAnswer: -5d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1637879022.\nAnswer: 2, 3, 13, 2333161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 + 2. Let n(v) = -8*v + l*v**2 - 13*v**2 - 6 + 2 + 5*v**2. Determine n(-5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of 19*a**3\/33 - 91*a**2\/22 - 10*a - 2034. Factor u(o).\nAnswer: (o + 1)*(19*o - 110)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -311\/580 + -2\/145. Calculate the common denominator of o and 41\/28.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 672.45 <= 120?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 555.0202 + -0.0202. Let s = -555.00000464 + k. Round s to six dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -26*z**2 + z - 2. Calculate t(2).\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are 3 and -1364 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14 + 24*s**4 + 11*s**3 - 3*s**2 - 4*s**3 + 12 - 2*s - 2*s**3 - 3*s**3 to x + o*s**4 + r*s + u*s**2 + g*s**3 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*c - 358 + 420 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -45 - -65. Suppose r + h = 5*r. Suppose 4*d = -2*b + 10, 2*d + 0*d = r*b - 25. Solve 5 = -b*t - 5 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1126598335?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -686963887\/2486 + 276333. Calculate the common denominator of p and -77\/2712.\nAnswer: 29832","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 13*s - 3. Let c(q) = -17*q + 4. Let n(a) = 4*b(a) + 3*c(a). Let z(h) = 1. Let t(m) = -m**2 + 3. Let g(k) = t(k) - 3*z(k). Determine g(n(y)).\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 3452698 to the nearest one thousand.\nAnswer: 3453000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3119 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: Put 4, -4494, 2, -1 in decreasing order.\nAnswer: 4, 2, -1, -4494","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20 + 201000?\nAnswer: 200210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18 + 94. Does 19 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0.3, 3662, 2049 in decreasing order.\nAnswer: 3662, 2049, 0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + y - 4413 = 2*y, -20 = 5*y. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9220813, -9220732, -9220651?\nAnswer: -9220570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -98624, -98254, -97888, -97526, -97168?\nAnswer: -96814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.85 * 0.2\nAnswer: -0.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 82550994.\nAnswer: 1\/82550994","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((2*(sqrt(612)*3 + sqrt(612) - sqrt(612)) + (3*sqrt(612) - sqrt(612))*-3)**2 - 6*(-2 + sqrt(612)*-1 + sqrt(612))*3).\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 324 - 43 = b, b = -1. Is r a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*(l\/l**(-1\/52)*l)\/l*l\/((l\/l**(-2\/41))\/l))\/(((l*l**24)\/l)\/l*l\/(l**(2\/55)*l)*l) assuming l is positive.\nAnswer: l**(-2344401\/117260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -292*b**2*s - 2564*b**2*u + 17254*b*s*v**2 + 5*b*u*v**2 - 2*s*u - u*v - 1424*v**2 wrt s.\nAnswer: -292*b**2 + 17254*b*v**2 - 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 2*s - 8. Let y = s + -1. What is the derivative of -4*g**2 + 5*g**2 - 9 + y wrt g?\nAnswer: 2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 4, q: 14}. Give prob of sequence qqoq.\nAnswer: 91\/765","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -251358, -502737, -754116, -1005495, -1256874, -1508253?\n\"Answer: -251379*v + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30464?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 f, and 1 u when three letters picked without replacement from uogoowooooooofuoo.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gcv when three letters picked without replacement from vvcgaccc.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -2*t + 12, -4*t + 3*u = -2 - 2. What is the third biggest value in -5, -7, -2\/19, t?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6.84 + -6.16. Let l = 12 + y. Which is the third biggest value? (a) l (b) -1\/2 (c) -2\/7 (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/((-1)\/((-1)\/(-1)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-87)\/74037*23 + (-6218)\/(-74) + 6\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 69\/2 and -79\/893564.\nAnswer: 893564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*y**2 - 42*y**2 - 28*y**2 - 6*y**2.\nAnswer: -122*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -919*v - 5855 = 7011 for v.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 304, 883, 1756, 2923?\n\"Answer: 147*c**2 + 138*c + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 (base 6) in base 15?\nAnswer: e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -2*c**2 + 15*c - 28. Determine q(6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 120554 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jebaxyb. What is prob of sequence ae?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1915198 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -2*z - 3*z + x, z = 5*x + 21. Suppose -m + 4 = z. Let f be m\/(-5) + (-4)\/(-10)*-1. Is 2\/11 <= f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1203 (base 5) to base 15.\nAnswer: -bd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*a**2 - a**2 - 2*a + 2*a.\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42\/12 + 3\/(-2) + (-2)\/(-8).\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 13\/5 of a tonne?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from {f: 4, t: 2, k: 2, g: 2}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 133\/1747980 and 139\/1620?\nAnswer: 1747980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*b + 75*b + 36 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a micrometer in nanometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27839*q + 13087*q + 84579*q + 90336*q.\nAnswer: 215841*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4\/53 + -118\/159. Put 4, 5, t in increasing order.\nAnswer: t, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.20733 and -5.\nAnswer: 1.03665","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -186043338 by -2.\nAnswer: 93021669","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 74868 (base 12) to base 4\nAnswer: 211123100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -618 - -622. Solve 115 = -y*z + 95 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 - -6. Let u be (6\/(-8))\/(1\/i). Suppose 6*l - 9 = u*l. What is the lowest common multiple of l and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, j: 6, y: 1, u: 2, a: 1}. Give prob of picking 1 j and 1 t.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -25 - -29.9. Let y = -5 + d. Let x be (((-24)\/(-10))\/2)\/(-2). Put x, 0, y in decreasing order.\nAnswer: 0, y, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -208 - -208. Suppose -5*r - 5*l + 45 = 0, s = -2*l + 1 - 3. Calculate the smallest common multiple of 51\/((-1)\/4 + 1) and r.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55311374282 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f + 2*f - 15. Find the third derivative of 4*y**3 - f*y + 0*y**3 + 5*y + 2*y**2 wrt y.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21929557037 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 o when three letters picked without replacement from {o: 2, q: 1, w: 1, p: 3, e: 7}.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the third derivative of -g**5\/60 + 7*g**4\/24 - 3*g**2. What are the prime factors of k(6)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 58811487 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**2 + 15*p + 18. Let l be (-146)\/10 - 6\/15. What is the remainder when 27 is divided by y(l)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 3*l - 2*l + 0 - 1. Let j(r) = r**2 - 4*r + 2. Let z be (8\/(-6))\/(1\/(-15)). Suppose 5*n + z = -0*n. Determine n*w(m) - j(m).\nAnswer: -m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-5)\/o)\/o*o*o*o**(6\/7))\/((o*o**(-1\/4))\/(o**(-8)*o)) assuming o is positive.\nAnswer: o**(-333\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the first derivative of -11*r**6\/6 - 3*r**2\/2 - 15. Find the second derivative of f(j) wrt j.\nAnswer: -220*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 62771334.17 to the nearest one hundred thousand.\nAnswer: 62800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a millimeter in micrometers?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -71 - -47. Let o = 21 + 5. Is 4\/(-1 - o\/s) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the third derivative of z**8\/8960 - z**7\/840 - z**6\/192 - 37*z**4\/8 - 124*z**2. Let p(b) be the second derivative of m(b). Factor p(q).\nAnswer: 3*q*(q - 5)*(q + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/12 and 109\/4104.\nAnswer: 4104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d + 87. List the prime factors of c(0).\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52730459 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1044 is divided by 15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 7*c - 23. Let a(h) = 7*h - 23. Let p(j) = -3*a(j) + 4*f(j). What is the first derivative of p(i) wrt i?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 691 - 11706\/17. Find the common denominator of k and -39\/14.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -79\/4 (b) 5 (c) 3 (d) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 149 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 + 32*j**2 + 33*j + 62. Let c be x(-31). Suppose 3*r - 1436 = 4*i, c = 4*r + 3*i - 2*i - 1921. What is the hundreds digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -19\/5 or 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2135482 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111001101001001011011 (base 2) to base 10.\nAnswer: 1888859","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -3776\/63475 and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 967889 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2048 a factor of 24256512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 54*c - 33. Determine y(0).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -3*z - 21. Let k be u(-7). Suppose 3*x + y - 965 = 0, 5*y - 6 - 4 = k. Suppose -5*j + 124 = -x. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -62235 - -54?\nAnswer: -62161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence krz when three letters picked without replacement from {q: 2, z: 1, k: 1, i: 5, s: 1, r: 3}?\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -2*l + 7. Let j(p) = 3*p - 11. Let x(g) = -3*g**2 - 2*g + 8. Let y be x(2). Let t = -13 + 8. Calculate t*j(s) + y*w(s).\nAnswer: s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 15*f**2 - 8*f + 3. Let b be s(1). What is the first derivative of 67 + 26 + 10 - 4*n + b*n**2 wrt n?\nAnswer: 20*n - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 154222, 1233872, 4164388, 9871204, 19279754, 33315472, 52903792, 78970148?\n\"Answer: 154239*k**3 - k**2 - 20*k + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11050 is divided by 201?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -2*p**2\/5 + 8073108*p\/5 - 8146884097458\/5 = 0?\nAnswer: 2018277","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the third derivative of -311\/6*k**3 + 0*k**5 + 0*k**4 + 0*k**6 + 309*k**2 + 20\/21*k**7 + 0 + 0*k. What is the derivative of z(m) wrt m?\nAnswer: 800*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(-2) - 15\/10. Suppose 0 = -5*x - j*x + 3260. Suppose 0 = -4*n - 0*n + x. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-9)\/q*q)\/q)\/q**(-5\/4)*((q\/(q\/(q**(3\/14)\/q*q)))\/q)\/(q*q\/((q*q*q\/q**(-2))\/q)) assuming q is positive.\nAnswer: q**(-211\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the third derivative of 2*p**7\/105 - 49*p**6\/40 - 339*p**5\/10 - 2431*p**2. What is the third derivative of j(d) wrt d?\nAnswer: 96*d - 882","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -278 - -281. Suppose i + 7105754 + 1154258 = -4*l, 4*l + 24780012 = -s*i. Round i to the nearest 1000000.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:17 PM and 8:59 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -53180154*r**3 + 20188942.\nAnswer: -159540462*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a week in minutes?\nAnswer: 12096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2023, 3985, 5951, 7921, 9895?\n\"Answer: 2*r**2 + 1956*r + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-10)\/(-24))\/((-408)\/(-36) - 8). Which is the smallest value? (a) -27 (b) n (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6281 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 5*w - 14. Suppose 4*j - 5*s = -w, j - s - 1 = -2*s. Suppose j = 2*b + b - 42. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3177, -4613, -4279, -2175, 1699?\n\"Answer: 885*d**2 - 4091*d + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 2*d - 76. What is the remainder when d is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 97682 and 884?\nAnswer: 195364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (16\/6)\/(2\/(-56)). Let z = g - -79. Let f(i) = -3*i**3 + 3*i**2 - i + 4. Let o be f(0). Which is smaller: o or z?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 - 3 = 2*a + 3*m, -2*a + 2*m = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 20 = 2*m, -t - 3*t + 20 = -4*m. Suppose 18*u - 68 - 40 = 0. Calculate the remainder when t is divided by u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -11*f**2 - 6*f - 44. Let g(d) = 38*d**2 + 18*d + 134. Give -7*b(h) - 2*g(h).\nAnswer: h**2 + 6*h + 40","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.743 rounded to 1 decimal place?\nAnswer: 4.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*(d\/(d\/(d\/(d*d**(19\/3)*d))))\/d*d)\/(d\/(d\/d**(1\/28)))*((d\/(d\/d**5))\/d)\/(d**(-7\/8)\/d) assuming d is positive.\nAnswer: d**(85\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 3*q**2 - 2*q - 5. Let j be x(2). Suppose -36 = -j*i + 12. Suppose -18*b = -14*b + i. Is b >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.7 - 41?\nAnswer: -51.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3730767 to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the third derivative of i**7\/210 - i**5\/2 + i**4\/8 - 11*i**3\/2 + 113*i**2 + 2*i. What is the second derivative of o(x) wrt x?\nAnswer: 12*x**2 - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 431.13 - -73044431\nAnswer: 73044862.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 80.44142ug?\nAnswer: 0.08044142","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3222 and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 53392 and 33512?\nAnswer: 568","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes before 6:40 AM?\nAnswer: 8:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*g**2 + 27*g**2 + 24*g**2 - 2 + 7*g + 19*g**2.\nAnswer: 52*g**2 + 7*g - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vjv when three letters picked without replacement from {v: 9, j: 5}?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/5, -4, 2, 1, -217\/6 in descending order.\nAnswer: 2, 1, -3\/5, -4, -217\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 3*v + 13*u - 11*u, -22 = 5*v + u for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 + -9. Suppose -g = v*g - 18. What is the tens digit of (38\/3)\/(g\/9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 42 - 38. Let d be g*(4 + (-3 - -3)). Solve -3*b + 4 = m, -d = -3*m + 4*m - 3*b for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - s - 75 = 0, 0*s - 5*s = -5*u + 125. What is the remainder when u is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 48359482?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2774 + h**2 + 2774.\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.20438 + -48714.42.\nAnswer: -48714.21562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -5*j**2 - 4*j - 1 + 2 - 7 + 10. Let o(h) = 6*h**2 + 5*h - 5. Let x(u) = -5*f(u) - 4*o(u). Let z(v) = -13*v. What is x(z(p))?\nAnswer: 169*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11623 and 197.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -109*w**3*y**3 - 2*w**3*y**2 + 47*w**3*y wrt y.\nAnswer: -654*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-18) - (-968)\/198. Suppose 0 = w*l - 5*j - 150, 36 = l + 11*j - 6*j. Is 32 at least as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2*(1 + 15\/(-10)). Let t be 3\/(-57)*k*-1. Let s = -73.6 + 74. Sort 3\/4, t, -0.2, s in ascending order.\nAnswer: -0.2, t, s, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 5*h + 31 = 0, -2*h - 106 + 112 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of 13*n**3\/3 - n - 79. Let d = -9 - -7. Is j(d) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1150814699?\nAnswer: 1753, 656483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 2*f**2 - 3. Let v(l) = l**2 - 4. Suppose i = j - 11, -3*i + 38 = 4*j - 5*i. Let y be (j + -11)*1\/(-1). Give y*v(u) - 4*h(u).\nAnswer: -5*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the third derivative of -t**4\/12 + 2*t**3 + 9*t**2. Let n be d(5). Solve 0 = b + n*b - 6 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 3*o**4\/2 - 6*o**3 - 9*o**2\/2 + 15*o + 12 = 0.\nAnswer: -1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 - 52*i**2 + 184*i + 387. Calculate o(48).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-26)\/(-39)*(-36)\/(-20).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 23 = -5*o, o - 1 = 2*m - 2*o. Put m, 1, -1 in decreasing order.\nAnswer: m, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 655363 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -4, 2, -3 in increasing order.\nAnswer: -4, -3, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 105*i + 98. Let q(r) = -13*r - 12. Let b(k) = -49*q(k) - 6*t(k). Let f(g) = -19*g**2. What is f(b(y))?\nAnswer: -931*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6063 and 258?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 14*w**2 - w - 14*w**2 + w**2 + 4 - 3. Let k(v) = -5*v**2 + 3*v - 3. Determine 15*h(b) + 5*k(b).\nAnswer: -10*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 119150109?\nAnswer: 3, 13, 113153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30531 is divided by 30421?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/6 - 88\/(-12). Let j(u) = -u**2 + 10*u - 12. Let b be j(x). What is the second smallest value in -4, b, -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 838 is divided by 35?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 + 38*w**2 + 80*w - 1553. Let n be h(39). Solve 5*f = 4*q + n - 95, 5 = -f for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 62048.4 and 0.5?\nAnswer: 62047.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c = 3*t - 2051 + 1850, 989 = -c + 16*t for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**3 + 21*h**2 + 29*h + 44. Let q be y(24). Let i = 2031 - q. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**3 + 7*n**2 + 66*n + 4. What is u(8)?\nAnswer: 468","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 3*z - 2. Let k(q) = 2*q - 3. Let t(w) = 4*f(w) - 3*k(w). What is the tens digit of t(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29663 is divided by 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/6? (a) 15.05 (b) 0.13 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1229990 a multiple of 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**3 + 7*a**2 + 14*a + 39. Let k be c(9). Suppose -2059 = 5*d - k*g - 22253, -g - 20188 = -5*d. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - (-19 - -6 - -24)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/1602905 and -99\/190.\nAnswer: 60910390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -312\/224377, 0.3, -10?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -4*p**3 + 22568*p**2 - 31559620*p - 770485344 = 0.\nAnswer: -24, 2833","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 30 = 5*w, 5*w - 30 = -j - 2*j. Let d(z) = 748*z + 359. Is d(j) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 3 - 45 = 0. Let h be (6\/o)\/(1\/14). Solve -10 = h*v - 2*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.9 + 410541415\nAnswer: 410541416.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36, 38, 40, 42, 44?\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 6, o: 4, j: 1, z: 4, h: 2}. What is prob of sequence bjzo?\nAnswer: 1\/595","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1376 and 56029.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 243 - 203. Calculate the remainder when 195 is divided by k.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -136*z - 87 + 125*z + 71*z + 149*z.\nAnswer: 209*z - 87","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*r + 3, -5*j - 539*r + 6 = -538*r for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, z: 1, n: 8, d: 3, e: 6}. What is prob of picking 1 e, 1 d, and 1 z?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -104 + 108. Suppose 0 = 3*o - o + i - 25, h*o - 29 = 5*i. Suppose 2*x + 1 = -1, 0 = 3*z - 4*x - 10. Solve 4*s = -3*u - s - o, -z*u + 2*s = -14 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 23 + 2 = 5*c, 4*t - 4*c - 28 = 0. Let b = 205122 + -820485\/4. Factor -1\/4 + u**t - b*u.\nAnswer: (u - 1)*(4*u + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1020 divide 516554520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19 - -19.5. What is the biggest value in 2, 0.4, h?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*m**2 - 5*m**2 - 8*m + 7*m + 4*m**3 to q + i*m**3 + p*m**2 + j*m and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00017643 to 6 dps.\nAnswer: 0.000176","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 364769 to the power of 1\/2, to the nearest integer?\nAnswer: 604","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 21*s**2 - 1039*s - 630. Let q(b) = -20*b**2 + 1040*b + 630. Let c(x) = 5*d(x) + 4*q(x). Factor c(o).\nAnswer: 5*(o - 42)*(5*o + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 178 - 177. Solve -s + x = -1 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, -3, 10, 72802?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/(-36))\/(((-64)\/(-12))\/4)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -136*s - 33*s + 1352 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bgkl when four letters picked without replacement from {b: 4, u: 1, l: 4, q: 3, k: 3, g: 5}.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -321*m - 26000. Determine u(-97).\nAnswer: 5137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2677280 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90*l**3 + 55624638*l**2 + 29666440*l - 4944408 = 0. Calculate l.\nAnswer: -618051, -2\/3, 2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -3*l**4 - 78*l**3 - 72*l**2 + 78*l + 75 = 0.\nAnswer: -25, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7762 - -7992. What is the remainder when 326 is divided by s?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 246*r**4 + 295*r**2 + 1?\nAnswer: 5904*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-74 - 351*d + 357*d - 34)*(2 + 1 - 1).\nAnswer: 12*d - 216","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rgegeevdgrev. Give prob of sequence rg.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -21?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:44 PM and 5:35 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*173.69898.\nAnswer: 52.109694","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 39735 and 279?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*x = -11*x + 24. What are the prime factors of -4 - (-3 - x)*-122?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**2 + 8*j - 19. Let t be b(2). Let m = 0.043 - 0.273. Let l = m + 0.37. What is the closest to -1\/2 in 3, t, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -4*s + 2*s. Suppose 0 = -3*q - 75 + 27. Let d = q + s. Calculate the highest common factor of d and 66.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 710, 717, 726, 737?\n\"Answer: m**2 + 4*m + 705","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1960.1 plus -250953319?\nAnswer: -250955279.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d + 3*z - 196, d + 4*z - 19 = 10. What are the prime factors of d?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -2*o - 346 + 353, 2*o - 6 = 4*c. Let a = 9\/20 - 183\/140. Sort 5, c, a.\nAnswer: a, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 380 + -203. Suppose 0*b = 4*b + 2*l - 366, -2*b = -l - c. What are the prime factors of b?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7148336\/99 or -72206?\nAnswer: -72206","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 10040 - 163?\nAnswer: 8766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 - 0)\/(0 + 1). Suppose 4*t + 0*g - 4*g - 8 = 0, 2*g - 4 = z. Suppose t*x + 161 - 889 = 0. What is the greatest common divisor of x and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (19\/(-1))\/(12*24\/(-288)*1).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 2*x. Suppose 35 = 5*d + 5*r, d = 4*d + 2*r - 22. Let i = d + -9. Determine u(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8046 or -8047?\nAnswer: -8047","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < 2769?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.15651301 rounded to one dp?\nAnswer: 11.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31276 is divided by 109?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 111\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 + 8*p**2 + 3*p + 5. Let q be u(9). Find the common denominator of -57\/8 and q\/4 + (-3 - -2).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2854354 and 8410?\nAnswer: 1682","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -397 - -419. Suppose -p*f + 190 = -206. Calculate the smallest common multiple of f and 22.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -5 + 0 + 0 + -471. Let h = 63 - n. What are the prime factors of h?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**2 - 7*b + 241. Is 9 a factor of a(-22)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in fourty-five quarters of a millimeter?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 30302230 (base 4) to base 8\nAnswer: 146254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -345521 + a?\nAnswer: -345517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/7, -2, -41, -0.1, 0.1, 6 in increasing order.\nAnswer: -41, -2, -0.1, 0.1, 5\/7, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, 1, -0.172, 0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 22764 divided by -42\nAnswer: -542","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 555 a multiple of 85?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, n: 6}. What is prob of sequence nrr?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 78635 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 216 and 1200.\nAnswer: 10800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -38 - 5?\nAnswer: -3d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q = -6, 0 = -l + 37*q - 39*q + 7 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -27 + 191\/7. Which is the second biggest value? (a) 0.2 (b) o (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1867553 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:46 AM and 4:33 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 + -2 + (-2054)\/(-442). Put o, 4, -1 in descending order.\nAnswer: 4, o, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/5*10\/16. Let d = 2215\/68 + -558\/17. Let i = -527\/66 + 49\/6. What is the closest to d in -5, b, i?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*k = 7685 - 8021 for k.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 92970?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.277 - -22\nAnswer: 22.277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 878676?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*p - 9*p - 68 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (214\/5)\/((-912)\/100). Let p = 66\/19 - a. Find the common denominator of -43\/138 and p.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 10:28 AM?\nAnswer: 4:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -42, 0, 2915, -5, -68.\nAnswer: -68, -42, -5, 0, 2915","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*w**5\/11 + 472*w**4\/11 - 31802*w**3\/11 + 469828*w**2\/11 - 2336960*w\/11 + 3041536\/11 = 0. What is w?\nAnswer: 2, 8, 109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**2*q*q**(2\/7)*q)\/(q**2\/q**3) assuming q is positive.\nAnswer: q**(37\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) - (-2*sqrt(68)*4 + sqrt(68)))\/((sqrt(32)\/sqrt(2) + sqrt(16))\/sqrt(4) - sqrt(4)))**2.\nAnswer: 1088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 717?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -2\/3 + 22\/9*d**4 - 8\/9*d + 4\/9*d**5 + 4*d**3 + 16\/9*d**2 = 0?\nAnswer: -3, -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12737 is divided by 718.\nAnswer: 531","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3914?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 45.7 + -45. Let d = 0.7000055 - g. What is d rounded to six decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -51 - -90. Let k be ((37 - 13)\/6)\/((-4)\/(-5)). Suppose 8*v - 5*v + 5*b = 65, -k*v - b = -79. What is the remainder when y is divided by v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(2\/9)*i*(((i\/i**(-2\/9))\/i)\/i)\/i*i\/i**(2\/15)*(i\/(i**(-6\/11)\/i))\/i)\/(i**3*i**6*(i*i\/(i**(1\/5)\/i)*i)\/i*i**(-7)\/i) assuming i is positive.\nAnswer: i**(-467\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence izq when three letters picked without replacement from {q: 3, z: 2, i: 1, b: 6}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 2 = -p - a, 0 = 3*p - 5*a - 4 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 188*v = 745 - 2813 for v.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -2 + 0 + 18766*w**2 + 2*w - 18771*w**2. What is v(1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 222.46 rounded to the nearest ten?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 124 + -100. Calculate the greatest common factor of 32 and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(1\/17)*j)\/j)**(-1\/22)\/((((j**(-7)*j)\/j)\/j)\/((j*j**18)\/j)) assuming j is positive.\nAnswer: j**(4853\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 793, -3, 1 in descending order.\nAnswer: 793, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -21 + 14?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 252798 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 3\/7 (b) 2 (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-3) - ((-896)\/(-156))\/7?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 181\/4? (a) 25 (b) -4 (c) 1 (d) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -142.86 + 143. Which is the third smallest value? (a) -4 (b) -3 (c) 2 (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 9*x**2 + 92*x + 1224. Determine i(-12).\nAnswer: 1416","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00264778 to 3 dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21663 and 581.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6761385, 6761384, 6761383?\nAnswer: 6761382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3 from 51771571.\nAnswer: 51771574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 28 - 27.6. Put 0.0263, 0, t in decreasing order.\nAnswer: t, 0.0263, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -115*b**3 + 5*b**2 - 10*b - 11. Give l(-1).\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 54, 130, 302, 606, 1078, 1754, 2670, 3862?\nAnswer: 5366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 199518*d**3*f**3*j + 1040*d**3*f**2*j + 6*d**2*f**2*j + 73*d**2*f**2 + d*f**3*j + 26*f**3*j wrt f.\nAnswer: 1197108*d**3*j + 6*d*j + 156*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0, 2\/3, -2\/5, 0.1, 0.5, 0.023, 141?\nAnswer: 0.023","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 f when two letters picked without replacement from lglffzzlzzflzz?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -522 + 4*w + 390 + 132.\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*a**4\/3 + 16136*a**3 + 322974*a**2 + 920512*a\/3 = 0. What is a?\nAnswer: -19, -1, 0, 24224","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -34 + 58. Let q = 34 - d. Suppose -5*m + 50 = -q. What is the highest common factor of 60 and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -9*j**3 + 32*j**2 - 6*j - 3. Let c(r) = 9*r**3 - 48*r**2 + 6*r + 3. Give -2*c(b) - 3*p(b).\nAnswer: 9*b**3 + 6*b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 34\/18531 and 73\/8236.\nAnswer: 74124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - -2. Suppose -d*s + s + 11 = -r, 9 = -3*r + s. Let k = 4 - 5. Is k <= r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -10795, 1 in descending order.\nAnswer: 1, -5, -10795","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12? (a) -3 (b) 1\/11 (c) -2.4 (d) 4\/9 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 4 + 0)*(6*q**3 - 3*q**3 - q**3) + 3*q**3 - 3*q**3 - q**3 - 2*q + 1912 - q**3 - 972 - 964)*(2 + 6 - 2).\nAnswer: 12*q**3 - 12*q - 144","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f**4 - 3*f + 3*f)*(2 + 0 + 0) + 6541*f - 4*f**4 - 6555*f - f**4.\nAnswer: -f**4 - 14*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-60)\/(-2)*(-1)\/(-2). Suppose u = -2*u + c, -11 = -3*v + 5*u. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32879 (base 10) to base 5\nAnswer: -2023004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -2*a**2 + 27*a - 23. Give c(13).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28826*g**2 - 28826*g**2 + 36*g**3.\nAnswer: 36*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 111.526 to the nearest 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(57) - sqrt(2052)*-2)\/sqrt(3).\nAnswer: 13*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 - 2*w**2 + (-85 + 255 - 135)*(2*w + 0*w + 2*w**2 - 504 + 503).\nAnswer: 68*w**2 + 70*w - 35","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -34*t - 5*t**3 + 34*t + (-t - 2*t + 5*t)*(44 - 2*t - 16 - 2*t**2 + 3*t) in the form b + j*t + l*t**2 + m*t**3 and give m.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -69 in 0, -3, 4\/9, -0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 6 + 0 + 28 + -11 + 1 + (6 - 15)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 - 1)*(-1 + 1). Let d = 19 + -16. Suppose u = 3*s - f - 5, -s = -d*s + 5*f - 14. Solve s*k - 14 = m, -3*m + 7*m - 4*k + 16 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes after 10:10 PM?\nAnswer: 11:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a meter in centimeters?\nAnswer: 425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -2*p - 45 - 34, 2*s - 48 = -p. Let c(k) = -68*k + 624. What is the remainder when c(7) is divided by s?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -14973, -14974, -14975?\n\"Answer: -n - 14972","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 404, 3238, 10930, 25910, 50608?\nAnswer: 87454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 51\/16, -1?\nAnswer: 51\/16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25312 is divided by 43?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 - -5. Let q = 35 + -34. Let w be 33\/6 + (-3)\/6. Sort l, q, w in decreasing order.\nAnswer: w, q, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 4*x**3 - 2*x - 1. Let t(z) = -20*z**3 - z**2 + 11*z + 5. Let l(b) = -11*c(b) - 2*t(b). Let i(y) = -y**3 + y**2. Give 2*i(u) - l(u).\nAnswer: 2*u**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u\/(u*u*u**(-1\/4))*u)\/u*u)**(-2\/29)\/((u**(8\/7)\/u)\/((u*u**7)\/u)))**(-47))**(-3\/7) assuming u is positive.\nAnswer: u**(391557\/2842)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 480245 and 695?\nAnswer: 695","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 105376178 to the nearest integer?\nAnswer: 10265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33338 is divided by 16653.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 12302 = x, -3*u + 4*x + 12307 = 6*x. Let y(f) = u - 2*f - 4099. Let r(c) = c. What is r(y(k))?\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 (base 13) in base 10?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 2*u**2 + 4*u**2 + 0*u**2 - 4*u**2. Let j(f) = 40*f**2 + 24*f + 24. Let l(r) = 8*r**2 + 5*r + 5. Let k(h) = -5*j(h) + 24*l(h). What is k(a(c))?\nAnswer: -32*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6006284, 12012567, 18018850, 24025133?\nAnswer: 30031416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 17*n**3 - 10*n**2 - n - 5. Give p(-3).\nAnswer: -551","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -541 + 586 = 9*j. Suppose j*i = -0*m - 3*m + 16, 0 = -3*i + 5*m - 4. Factor 11\/2*d - 1 - 6*d**2 - 1\/2*d**3 + i*d**4.\nAnswer: (d - 1)**2*(d + 2)*(4*d - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50\/3 + 7 + 2408\/(-1376) + (-67)\/12.\nAnswer: 49\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 3*p = -5*x + 15, 0 = -5*x - 2*p + 15. Find the third derivative of 3*n**2 + 2*n**2 - 4*n**2 + 5*n**3 - 6*n**x wrt n.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d - 8. Give n(14).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 42749.65 centimeters?\nAnswer: 427496500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3\/8 (b) -5 (c) -4 (d) -1\/4 (e) 7\/2 (f) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z - 3. Let h be c(1). Do h and -42\/13 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-36)\/((u\/u**(-17))\/u)*(u**(1\/24))**(-12) assuming u is positive.\nAnswer: u**(-107\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 343 (base 13) in base 15?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 95 + -61. Let i = -274 - -396. Suppose -2*r + i = -4*g, -g + 2*g - 46 = -r. Calculate the greatest common factor of f and r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 224*y + 1974. Determine n(-8).\nAnswer: 182","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**2 - 6*i + 6. Let g be z(6). Let l be (-1 - 0)*g\/(-2). Let a be 1 - l - (-5 + 1). What is the second biggest value in a, 4, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.7353821 litres?\nAnswer: 735.3821","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 - y - 2. What is t(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 17766 and 376.\nAnswer: 71064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the first derivative of n**3\/3 - 2*n**2 + 2*n - 277. What is q(7)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*q - 13*q - 11*q = -72 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) 762570 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.992 + 3.04688. Round b to 2 decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 970?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, -1, 47, -829, -4\/3?\nAnswer: -829","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 14 = r, 17123*r - 2*t - 10 = 17122*r for r.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes before 11:38 PM?\nAnswer: 3:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in five quarters of a centimeter?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 325?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (120\/(-14))\/(-2) - (-2)\/(-7). Let m(z) = 2*z + 5. Let o(x) = -1. What is r*o(h) + m(h)?\nAnswer: 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, -112, 5, 101 in ascending order.\nAnswer: -112, -4, 3, 5, 101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -3*x - 142, 2*x - 1 + 9 = 0. Suppose 4*o - 18 = a. Is 3 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 0 + 1 + -1 + -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y. Let z(g) be the second derivative of -g**6\/18 - g**4\/6 + 35*g**3\/3 + g - 21. Let d(a) be the second derivative of z(a). Determine d(t(u)).\nAnswer: -20*u**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/1672 and -61\/152.\nAnswer: 1672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 576 divide 14448956?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:03 PM and 7:28 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aadd when four letters picked without replacement from {d: 3, a: 7}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1414877831 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the first derivative of h**6\/9 + 7*h**5\/12 + 5*h**4\/4 + 25*h**3\/18 + 5*h**2\/6 + 24*h - 10. Let c(g) be the first derivative of l(g). Factor c(p).\nAnswer: 5*(p + 1)**3*(2*p + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the second derivative of g**7\/126 - g**6\/90 - 2*g**5\/15 + 2*g**4\/9 + 8*g**3\/9 - 8*g**2\/3 - 705*g. Find b such that v(b) = 0.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*g**2 + 0 + 0 + (-4*g + 2*g - g)*(-g - g + 3*g) + 667*g**2 + 433*g**2 - 279*g**2.\nAnswer: 815*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -9*n**2 + 2*n + 6 + n**2 - 3*n**2. Let d be i(-3). Let u = d + 181. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 46 = y, -3*y + 146 = -0*y + 4*f. 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: Let v(y) = -6*y + 16. Give v(6).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2444 - 1?\nAnswer: -2445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -2*n. Let h be (0*(-1)\/2)\/2. Let y(t) = 36*t + h + 0 - 45*t. Determine y(o(r)).\nAnswer: 18*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -306086.16 rounded to the nearest 10000?\nAnswer: -310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 80 (base 15) in base 10?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 225 a factor of 53418825?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2956*l**5 - 20843*l**2 - 193263520*l wrt l.\nAnswer: -59120*l**3 - 41686","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 131?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - 108\/(-9)) + (-38)\/5.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/100 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - 0. Let w(v) be the second derivative of 2\/3*v**4 - 4\/3*v**3 - v + v**2 + s. Let w(r) = 0. What is r?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -2*g. Let k be u(1). Suppose -3*l + 258 - 63 = 0. Suppose 25 - l = 4*y. Put k, -5, 3, y in decreasing order.\nAnswer: 3, k, -5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, b: 3, n: 4, y: 5, p: 1, l: 1}. What is prob of picking 1 n, 2 p, and 1 b?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 29978591131 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzznnznzzzzzznzznzz. What is prob of picking 1 z and 2 n?\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 - -6. Let h = d - -4. Solve 0 = -3*o - 0*o - q - 8, -h*q - 11 = -4*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2460348 by -68343.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -233*f = -134*f + 162*f - 1683450. Does 129 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 + l**2 - 32. Let a be g(0). Let j = -29 - a. Solve -8 - 7 = j*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32272 is divided by 56?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pxx when three letters picked without replacement from uupxmppmpxu?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 35368643 and 908.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -29*k**4 + 2*k**3 + 18*k**2 + 9*k + 11. Let d(c) = -10*c**4 + c**3 + 6*c**2 + 3*c + 4. Let f(i) = 11*d(i) - 4*y(i). Solve f(w) = 0.\nAnswer: -1, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -599 divided by 1.\nAnswer: -599","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/9, 0.41926, 0, 6, -0.2, -5?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 25 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.2 (b) 3\/25 (c) -1 (d) -0.1 (e) -7 (f) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 7) in base 4?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-15)\/(-20) - 1)*-1. Let u be 2 - 1 - -2*2. Suppose -2*s + d + 20 = -2*d, -20 = -3*s + 2*d. What is the second biggest value in u, x, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*z**3\/2 + 1648605*z**2 - 2198137*z\/2 + 183178.\nAnswer: -(z - 366356)*(3*z - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -112430723*m**4 + 142731550*m?\nAnswer: -1349168676*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-11)\/22 - (-2)\/4. Solve c = 2*k + 4*r + r + 9, -4*k + 5*r = -27 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 + 27*b**2 - 19*b + 25. What is the units digit of o(26)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-588)\/18)\/(221\/(-51)*(-12)\/78)?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -129 + 128.5. Let g = -87.2 - -88. Let d = 50 + -399\/8. Put x, -0.4, g, d in decreasing order.\nAnswer: g, d, -0.4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 92963?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 51 and 12801.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - -0.7. Let n = -9.1 + 7.21. Let r = n - -2.29. Sort -0.5, k, -0.4, r in descending order.\nAnswer: r, k, -0.4, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4496046 and 2565?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = a - 5*c, -44 = -5*a - 0*c + 3*c. Let s(p) = -5 + 2 - 4*p + 6*p**2 + a + p**3. Let u be s(-6). Solve 5*h - 2*r + 26 = 0, 6*h - 4*r = 2*h - u for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/100 and 67\/150.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -1 - 2*y - 6 - 2 - 1. Let n be t(-6). Let p(k) = -4*k**2 + 2*k. Let b(d) = 5*d**2 - 3*d + 1. What is n*b(u) + 3*p(u)?\nAnswer: -2*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w\/w**34)\/w**(14\/9))**30 assuming w is positive.\nAnswer: w**(-3020\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 563 = 2*j - 5*w + 547, 2*w + 64 = 20*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*f + 196 = -24. Let u be (-2)\/(-10)*(20 + f). Sort -3, u, -4, 1 in descending order.\nAnswer: 1, u, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/6 - (3 - 3). Let l = -2.2 + 1.7. Which is the nearest to 1? (a) 0 (b) l (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 152594071 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkkkekkkka. Give prob of sequence kek.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -3*r**2 - 2*r - 2. Let p(w) = 12*w**2 + 9*w + 9. Let z = 159 + -214. Let l = -64 - z. Calculate l*k(g) - 2*p(g).\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3516.888kg?\nAnswer: 3516888000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 145 - 8. Let x be 51 - (-6 - -5)*8. Let n = o - x. Is n a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1039 + 1919 = 174*f. Which is the nearest to 2\/9? (a) -1\/2 (b) f (c) -1 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1944.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 13339071?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 7982?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/6 and 375\/54 + (-1 + 2)*1?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -178 + 177.7. Which is the closest to 1\/2? (a) 21 (b) u (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 - 10 = 2*f. Suppose -11*p = -13*p + f. Let r be 75\/50*(-24)\/9 - 0. Put r, 9, p in decreasing order.\nAnswer: 9, p, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(30)\/(sqrt(110)\/(-4*sqrt(11))) + 3 + sqrt(3)*1 + -2.\nAnswer: -3*sqrt(3) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*b + 2*b + 4256. Suppose 0*u + b = 8*u. What are the prime factors of -1*2 + 33 + u?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that p**5 - 6*p**4 + 4*p**3 + 6*p**2 - 5*p = 0.\nAnswer: -1, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2249, -2693, -3137, -3581, -4025?\n\"Answer: -444*r - 1805","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -10*y + 35 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 21) + (-117 - -128)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -15 + 3 + 17 + -18\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*l**5 + 65825*l**4 + 1120940*l**3 - 6191900*l**2 - 47977680*l - 63273600 = 0. What is l?\nAnswer: -20, -3, -2, 8, 13182","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.60247 millilitres in litres?\nAnswer: 0.00860247","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 383355?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:13 PM and 3:35 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -17, 0.06, -126?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 - 9. Let p(j) = 11*j - 5. Let t be p(o). Calculate the greatest common factor of 224 and t.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:29 AM and 12:27 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -19*a**2. Let o(d) be the third derivative of d**5\/12 - d**2 + 17*d. Determine t(o(n)).\nAnswer: -475*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -2 - 7*u - 5*u + 5 + u**3 - 6*u**2 + 4. Let i be t(7). Does 24 divide (1 + 1)*(-7)\/(i\/408)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 49\/264 + -2\/33. Which is the nearest to 1? (a) -2\/5 (b) 0 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -1070871989*h**2. Let f(w) = 2*w**2. Give f(v(d)).\nAnswer: 2293533633649632242*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the third derivative of o**7\/14 - 13*o**3\/6 + 11*o**2. What is the first derivative of h(k) wrt k?\nAnswer: 60*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -174? (a) 4 (b) 3\/2 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -4187935, -8375890, -12563855, -16751830, -20939815, -25127810, -29315815?\n\"Answer: -5*a**2 - 4187940*a + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 106189?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -119, -493, -466 in increasing order.\nAnswer: -493, -466, -119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2713404266 - -1?\nAnswer: -2713404265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -25*r - 19*r + 546436. Suppose r = 17*s - 6230. What are the prime factors of s?\nAnswer: 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 47 (b) 0.4 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 6*f + 39*f + 25*f + 2*f - 51 + 53. Let w(u) = 6*u**2. Determine t(w(g)).\nAnswer: 432*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a second in milliseconds?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or 84?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (11*d - 21*d - 13*d + (2*d - 3*d + 0*d)*(4 + 1 - 3) - 2*d - 1 + 1)*(2*d + 2*d**3 - 2*d) to the form j*d**4 + x*d**2 + n + m*d + i*d**3 and give j.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 28*i - 24*i**2 + 70 + 8 + 0 - i**3. What is w(-25)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.1999926 + -0.2. Round t to six dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -74, -384, -694, -1004?\nAnswer: -1314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*y - 2*y + 2*y - 5*y.\nAnswer: -7*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - (1 + 0)) + (304 - 289).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*q + 0*q + q)*(-1 + 0 + 3) - 3 + q + 3 + (-q - 1 + 1)*(-1 + 2 - 3) - 367 - 12*q + 367 as r + s*q and give s.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of m*u**3 - 3*m*u**2 - 408*m wrt u?\nAnswer: 3*m*u**2 - 6*m*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, e: 2, u: 2}. What is prob of picking 1 v and 1 u?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -9 + 2 + 7 - 10*a**2 as l*a + h + q*a**2 and give q.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/47, -0.8, -3, -1\/4, 0, 26 in decreasing order.\nAnswer: 26, 4\/47, 0, -1\/4, -0.8, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -259 + 551. What is the tens digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -44 + 93. Let d = 50.1 - o. What is the third smallest value in d, -1\/4, 1\/2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-62)\/10 + (-11 - -16))*-85 is divided by 52.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.43066 milliseconds to seconds.\nAnswer: 0.00543066","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 88789.57 litres in millilitres?\nAnswer: 88789570","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 26 = -2*v. Let o = -10 + v. Suppose 0*g = -4*g + o*z + 61, -4*g = 5*z - 101. What are the prime factors of g?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) -1 (c) 11 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 887063 is divided by 7391.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3238.66 rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -33 - -57. Let c be (-2)\/(-4)*l\/(-30). Let d = -13 - -8. Which is smaller: d or c?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(-2\/27)*k*k*k)\/((k\/k**(11\/5))\/k))**32)**22 assuming k is positive.\nAnswer: k**(487168\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*n + d = 390 + 191, 5*n - 2*d + 50 = 0 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8228*f**4 - 8309*f**2.\nAnswer: -197472*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + (sqrt(6)\/(5*sqrt(2)) - sqrt(3))**2 - (sqrt(21) - (sqrt(21) + 4*sqrt(21) + sqrt(21) - sqrt(21)))\/sqrt(7)) + 2*(2 + (sqrt(3)*1)**2*5) + -3.\nAnswer: 5*sqrt(3) + 823\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5360 - 5360 - 242*g + (0 - 2 + 4)*((1 + 0 + 0)*(g + 0*g - 5*g) + (-12 - 2 + 4)*(2*g + g - g)) to k + q*g and give q.\nAnswer: -290","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-24)\/o*o**(2\/9)*o)\/((((o*((o*o**(-1\/6)*o*o*o)\/o)\/o)\/o*o)\/o)\/o)**1 assuming o is positive.\nAnswer: o**(-443\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 0)*(-149 - 345 - 396)*(0*f + 0*f + f)*(-2*f + f - f).\nAnswer: -3560*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 - -3)*(-16)\/(-64). What is the fourth biggest value in -5, 4, 2, z?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*d - 64 = -9 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/7)*f)**(-28)*((f**(-1)*f)\/f*f*f)\/f*(f\/f**4)\/f*f*f*f*f\/f**(2\/5)*f*f*f*f**(-1\/6)*(f**(-2\/5))**(-3\/26) assuming f is positive.\nAnswer: f**(-6833\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 17 in -4.7, -0.3, 2\/9, -6.5, -37?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 8\/7 (b) -4\/5 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n + 2*w - 6, 2*w = -5 + 3. Let y be -12*8*n\/3. Is 10\/(-30) + y\/(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41889a (base 14) to base 9.\nAnswer: 4143147","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pi when two letters picked without replacement from {q: 3, f: 2, v: 6, i: 3, p: 3}?\nAnswer: 9\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -67 - -61. Is (l - (-5 + -97)) + 1 + 0 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20328 is divided by 107?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and 6.912.\nAnswer: 27.648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:45 PM and 9:08 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95 = -13*o + 48. Suppose -9 - 2 = -o*z. What are the prime factors of 3\/z*-3*444\/(-54)?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qw when two letters picked without replacement from {q: 2, w: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.079 or -224?\nAnswer: -224","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d**4\/7 - 2370*d**3\/7 + 42204*d**2\/7 - 224320*d\/7 + 298752\/7 = 0. Calculate d.\nAnswer: 2, 8, 1167","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-6))\/((-54)\/(-243)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 3*h + 11 + 1 = 0, 2*a + 3*h = 9. Suppose -2*y - p + 22 = -0*y, -a*y - 3*p = -36. Suppose 8*r - y = 3*r. Solve r*b + 3 - 13 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7468974 divided by 18041?\nAnswer: -414","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11804*a + 1040 + 5901*a + 5906*a to m*a + o and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -0*z - 2*z. Solve z*d = 5*d - 9 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + 1. Let r be (3 - i) + 16 + 2. Let g be 48\/r - 4\/10. Is 3 > g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zsvye. What is prob of sequence sy?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*(u*u**(-13\/5)\/u)\/u*u**(2\/53)*u*u\/(u*u\/u**(3\/13))*u\/((u**(-8\/9)\/u)\/u*u*u)*u assuming u is positive.\nAnswer: u**(17282\/31005)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/54900722 and -53\/22?\nAnswer: 603907942","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 157712400 to the nearest 1000000.\nAnswer: 158000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the first derivative of 2*b**3\/3 + b**2\/2 + 8*b - 79. Let o(a) be the first derivative of 1\/2*a**2 + 7*a + 2\/3*a**3 + 1. Determine 6*o(v) - 5*z(v).\nAnswer: 2*v**2 + v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the third derivative of -w**6\/120 + w**5\/15 - w**4\/24 + w**3\/6 + 25*w**2 + 1. Let c be (-2)\/(2 + (-4)\/3). Let a be 6\/9 + (-7)\/c. Determine r(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29760599 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes before 8:39 AM?\nAnswer: 3:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -11 + 12 + -2 + (0 - -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -2*x**3 - 2*x**2 + 7*x - 5. Let p(l) = -4*l**3 - 3*l**2 + 16*l - 12. Determine -5*b(i) + 2*p(i).\nAnswer: 2*i**3 + 4*i**2 - 3*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 40 = -6*v + v, 0 = 3*v + m - 32. Suppose v*r - 17 = 83. List the prime factors of r\/(36\/1665*5\/2).\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*s**3 - 6*s**2 - 1 + 110670*s**4 + 4*s**2 - 2*s**3 - 110501*s**4 + 6*s**3 in the form z*s**2 + q + p*s + f*s**4 + n*s**3 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1400 + 454. Let o = 948 + q. What is the greatest common divisor of o and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -11, 1\/2, -2, -7, -3?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*f - 3*t = -16*f - 110, 0 = -t + 4 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 3*p + 8 = 0. Is 52462\/(-17)*(p - (-6)\/4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -39\/10, -6, -4, 8, 3, 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-76)\/95*(-70)\/7.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19 and 5377.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/32180 and -149\/12492276.\nAnswer: 62461380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/734 and -71\/6.\nAnswer: 2202","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*i + 3*x - 2 = 3*i, -2*i + 16 = 5*x for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes before 2:33 PM?\nAnswer: 9:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 3*t**3 - 11*t - 7. Let z(r) = -2*r**3 + 6*r + 4. Let o(l) = -6*g(l) - 11*z(l). What is the derivative of o(w) wrt w?\nAnswer: 12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4221 is divided by 701.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes before 5:06 PM?\nAnswer: 7:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/1*((-494)\/133)\/13.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 10) to base 13.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 5699331?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1.2 + -1273\nAnswer: -1274.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -373*z**2 + 4*z - 22 wrt z?\nAnswer: -746","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the first derivative of 1\/2*i**4 + 1 - 3*i + 0*i**2 + 0*i**3. What is the derivative of o(s) wrt s?\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6539 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (160\/(-3120))\/((-32)\/9). Suppose 0 = 2*g - 36 + 36. Is h at most g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5130847 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 144\/(-4) - (328 + -343).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*w + 48*w - 107951 = 901087. What is the ten thousands digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 353084113?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**2 + 11*c - 9. Let i(q) = 2*q**2 - 21*q + 17. Let x(g) = -4*i(g) - 7*l(g). Calculate x(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 238, 245, 252, 259?\nAnswer: 266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 760442209 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-20)\/(-3))\/((-130)\/(-18) - 7). Let r be 1894\/l + 11\/((-825)\/10). Let a = -36 + r. Is 5 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28272 - 4287 = 3*b. Let a be (-1 + b)*5\/(-3). Round a to the nearest one thousand.\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 111 - 26 - 46 - 39 - 162*h.\nAnswer: -162*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + q + 7, 3*s = 5*s + 5*q + 14. Suppose s*t - 105 = -5*u, t - 101 = -4*u + 2*t. What is the greatest common divisor of 3 and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 4, -3\/11 in decreasing order.\nAnswer: 4, -3\/11, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 3*s - 3. Let r = -721 - -711. Let l(y) = -2*y - 17. Let j be l(r). What is t(j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 5, 24, 10091, -4, -5 in descending order.\nAnswer: 10091, 24, 7, 5, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 + 7*f**2 + 3*f + 3. Let s(o) = -o**3 - o**2 - o. Calculate l(z) + 3*s(z).\nAnswer: -2*z**3 + 4*z**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 1*2*(-1*sqrt(500)*-2 - (sqrt(500) + (1*sqrt(500) + sqrt(500))*-2)) + 4)**2.\nAnswer: 1400*sqrt(5) + 50049","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Convert 355 (base 9) to base 15.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -20.59876731+0.004\nAnswer: -20.59476731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-48)\/28 - (-8)\/(-28). Let t be ((-81)\/(-6))\/(v\/(-20)). What is the highest common divisor of 15 and t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 12:55 AM?\nAnswer: 7:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -2*g**4\/9 + 4484*g**3\/9 + 722488*g**2\/9 - 2647556*g - 2727334 = 0.\nAnswer: -177, -1, 29, 2391","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -4*g**3 + 3*g**2 + 2*g - 2. Let h(t) be the first derivative of t**4\/4 - 22*t**3\/3 + t**2\/2 - 24*t + 50. Let y be h(22). What is p(y)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 + 10. Suppose -7*f + a*f = 0. What is f rounded to three dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 39*r - 33*r - 6 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 74533858843 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) 1\/10 (b) -5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2903 + -1936. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(1872)*1 - sqrt(1872))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22452 is divided by 264?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/18 and -115\/46332?\nAnswer: 46332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 82? (a) 2 (b) -0.1 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q + 3*r - 2710, -4*q = -2*r - 16301 + 5503. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 17118 = -27*l - 17415, -p - 42 = -4*l for p.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/101, -92, -4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - 2*l - 609 = -3*x, -5*x + 4*l = -1015. Let z = x - 213. Let c(p) = p**3 + 10*p**2 - p - 12. Give c(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3408)\/(-90) - (-2)\/15. Let l be -1*(-3 + 1) + 61. Let j = l - u. What is the remainder when j is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 4*r + 384. Let i = 364 + r. Suppose 1565 = 7*z + i. List the prime factors of z.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-16)\/(-4))\/16)\/(6\/4)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a**4 - 446334*a**3 - 16602062607*a**2 - 66402894516*a - 66401109228 = 0. Calculate a.\nAnswer: -74387, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*t**4*w + 1158851*t**3 + t*w + 7226536*t + w wrt t?\nAnswer: -24*t**2*w + 6953106*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4*-2 + (-2401)\/(-294). Let z = -3 - -3. What is the closest to 2 in z, i, -4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -159 + 161. Suppose -2*s + 14 = 4*r - 4*s, k*s = 6. Which is the closest to -1? (a) 4\/7 (b) -3 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most -4\/53084635?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h - h - h)*(-3*h - 8 + 16 - 10).\nAnswer: -3*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from {o: 2, g: 1, k: 2, y: 2, t: 1, c: 1}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-23316)\/18*930\/(-124). Which is greater: 9714 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-120)\/(-5)*3\/(-30)?\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that j**2 - 241*j**4 - 33*j**2 + 164*j**3 + 53*j**4 + 36*j**5 + 20*j**3 = 0.\nAnswer: 0, 2\/9, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x - 3. Let d be f(-3). Suppose d = 3*r - 2*r - 4. Solve 4*i**2 + 4*i**2 - 8*i**2 + r*i**2 - 4*i = 0 for i.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand b + 2 - 2 + (-5 + 2 + 2)*(-2 + 2 - b) + (-3 + 2 - 4)*(0*b + 0*b + 2*b).\nAnswer: -8*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 584865?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v, 3*y - 2*y = -5*v. Suppose y = g + g. Solve -3*r - 2*z = -1 - 3, g = -2*r - 2*z for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 - 6. Suppose -3*k + c*k = -6. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, 0.2, -0.05, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1528004.\nAnswer: 2, 382001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -280063, -559403, -838743, -1118083?\nAnswer: -1397423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10517 = -296*n + 6018 - 4103 for n.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 943462*i**4 + 3*i**3 + 189*i**2 + 3614*i.\nAnswer: 22643088*i + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 762780 (base 15) to base 11\nAnswer: 31a42a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 8, n: 5}. What is prob of picking 3 a?\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 583, 577, 559, 523, 463, 373, 247?\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 - 7*s**2 - 3*s - 9. Let l be u(-7). Suppose 3*g = -2*h + 1, -4*h = -h + l. Suppose -g*i + 62 - 20 = 0. Does 5 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -627012 and -0.13?\nAnswer: 627011.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000009510458 to 6 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19817 and 7655613?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4\/15 of a decade?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i + 7*i + 2*i)*((-30 - 27 + 48)*(-4 + 2 + 1) - 3 - 2 + 3) + 3*i - 2 + 2 + (-2*i + 2*i - 2*i)*(-1 + 2 - 3) - i + i - 2*i.\nAnswer: 68*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 631 is divided by 43.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*z + 32*z - 66*z.\nAnswer: 6*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 235019, 231320, 227621, 223922, 220223, 216524?\nAnswer: 212825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 433744674?\nAnswer: 2, 3, 11, 6571889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 284535717 to the power of 1\/3, to the nearest integer?\nAnswer: 658","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5202 = -4*v + 2*t, 2*t - 3*t = 2*v - 2591. Let n be 8997\/(-2) - (-2)\/4. Let d = v + n. What is d rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.081 - 0.581. Let h = 0.7 - 1.5. Let l = j - h. What is the second biggest value in l, -5, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.324 - 13752104\nAnswer: -13752104.324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/140 and -99\/860.\nAnswer: 6020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tnttnttntntntt. Give prob of picking 3 t and 1 n.\nAnswer: 60\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 283 + -215. Calculate the highest common divisor of 136 and s.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -2*a. Let d(t) be the first derivative of -9*t**2\/2 + 11. Give z(d(n)).\nAnswer: 18*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:47 AM and 6:20 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 16*k - 1. Let w(o) = o. Let j(m) = v(m) + 5*w(m). Let f be j(1). Suppose -f = 5*i - 2*n, n = 2*i - 6 + 15. Let g(b) = -b**2 - b + 1. What is g(i)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 289056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 + 7. Let d be 2 + (-3 - -1) - f. Suppose -4*o - 5*v + 99 = 0, d*o + 3*v - 23 - 28 = 0. What is the remainder when 81 is divided by o?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 108291?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5\/4 + 17584\/64?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -553 - -565. Let q be (45\/(-20))\/(-9) - (-153)\/g. Solve -8*t + 25 = -q*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 4 + 2)*(6*r - 4*r - 4*r)*(5 - 23 + 5) to the form a + u*r and give u.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -27 + 25. Which is smaller: y or -2\/5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 31854420 to the nearest integer?\nAnswer: 317","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001995 rounded to 7 dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 + 8\/2)*7*(-10)\/70?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 60 (base 9) to base 2\nAnswer: 110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3927 + 3949. Calculate the remainder when 2220 is divided by x.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 222 and 2608830.\nAnswer: 96526710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 67870052?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 + -4.2. Let z = -45.3 - -45. Let j = z - -0.7. What is the second smallest value in n, -1, j?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 42 = -1. Let w = -37 - c. Suppose -1822 = -2*t - w*h, 4*t - 3644 = 5*h - h. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0.061, -3\/51601 in decreasing order.\nAnswer: 0.061, -3\/51601, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 27*n - 63. Suppose 4*v - 19 + 79 = 0. Let i(p) = 7*p - 16. Let o(a) = v*i(a) + 4*d(a). Differentiate o(t) wrt t.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the first derivative of -1343*g**6\/6 - 323*g**3\/3 + 3*g + 26. What is the third derivative of j(a) wrt a?\nAnswer: -80580*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 803 = -747207*u + 747280*u for u.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-134 - 35 - -159) + -1 + 50\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -20, -18, -8, 16, 60, 130, 232, 372?\n\"Answer: b**3 - 2*b**2 + b - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 5*k - 35, d + 3*k + 3 = 2*d. Suppose -r + d = -9. Let a = -6 + r. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13 - (-5 - 5)) + 12 - 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(1*sqrt(168)*2)\/sqrt(8))\/((sqrt(28)*2)\/sqrt(4) + (sqrt(700)*-2 - sqrt(700))))**2.\nAnswer: 12\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34584?\nAnswer: 2, 3, 11, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 130\/7 - 376\/21. Let f(q) be the first derivative of d*q**3 + 2 + 0*q - q**4 + 0*q**2. What is the third derivative of f(s) wrt s?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -134 at most as big as -10511\/79?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes before 6:19 AM?\nAnswer: 7:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -90 + 190. Is 25 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 3*f**3 - 95*f**2 + 202*f + 124. Determine j(30).\nAnswer: 1684","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y + 1. Let f(p) = 7*p - 2. Let j be f(1). Let n(q) = 0 - 7*q + 2 - 6 + 0. Calculate j*z(d) + n(d).\nAnswer: -2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddccddcddcddc. What is prob of sequence cddc?\nAnswer: 28\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2232 - -2372. Calculate the least common multiple of 15 and o.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 6 = 3*s - 4*a, -s - 5*a + 17 = 0. Suppose s*w + 4 = 12. Solve z - 3*y - 6 = -6*y, -w*y = -z - 1 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 880.8028l?\nAnswer: 880802.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) 8128 (c) 1\/3 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/40 of a meter?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4 - (0\/(-3))\/(-3). Differentiate q + 2 - q**s - q with respect to q.\nAnswer: -4*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 less than -899923230?\nAnswer: -899923233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.602388 rounded to one dp?\nAnswer: -10.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*n + 5*n - 2*n)*(3420 + 3415 - 6835 + 3877*n**2) to i + m*n**3 + a*n**2 + z*n and give m.\nAnswer: -3877","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 842.9991 months in decades?\nAnswer: 7.0249925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42109 + 0*l + 21066 - l + 13136 - 293064.\nAnswer: -l - 300971","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(1152) - (1 + sqrt(1152))) - (sqrt(1152) - (sqrt(1152) - (sqrt(1152)*-1 - sqrt(1152))))*4)**2 - 2*-2*(sqrt(1152) + 0).\nAnswer: -1056*sqrt(2) + 73737","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/7 in -0.10423, 1.403, 0.3?\nAnswer: -0.10423","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2632 and 1504.\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2540083 to the power of 1\/5, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10948721*t + 4914 = 10948775*t for t.\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28)\/(-5)*12\/((-144)\/30)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*s - 11*s - 2*x + 368, 3*s - 277 = -x. Let f(r) = -5*r - 6. What is the remainder when s is divided by f(-6)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4ca2 + -4b1a?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(182\/(-61) - -3). Suppose 78*n - 47602 + 9538 = 0. Calculate the greatest common divisor of n and u.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.305638 rounded to two dps?\nAnswer: 0.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22201210210 (base 3) to base 10.\nAnswer: -171903","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 63, 115, 185, 279, 403, 563, 765?\nAnswer: 1015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 4*o**2 + 3*o. Let q be y(-2). Suppose -9*c + 4*c = q. What are the prime factors of 4\/c - (0 - 58)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 204 - 189. Let w be (-2)\/6 - (-41)\/(-3). What is the remainder when (-595)\/w - (-1)\/(-2) is divided by v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j - 2*j**2 + 5*j**2 + 6*j - 2*j**2.\nAnswer: j**2 + 7*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 16) in base 4?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -o + 11, -3*o - 5*l + 37 = 4. Let c be ((-4)\/12 + 1)\/(2\/(-33)). Let g = o - c. What are the prime factors of g?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the first derivative of 14*v**3\/3 - 3*v**2 - 3*v + 11. Let x be c(-2). Suppose -5*q + 210 = -x. What is the tens digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.15035 + -0.05035. What is the closest to h in -6.5, 4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and -1192?\nAnswer: 1192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 + -21006395?\nAnswer: -21006394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 7, -778, -5, -3, -23, -1.\nAnswer: -778, -23, -5, -4, -3, -1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 2*g + 28 = 0, -4*o + g - 3406 + 3392 = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 1206*s**3 - 15*s**2 + 8*s - 21. Let r(x) = -2411*x**3 + 32*x**2 - 17*x + 45. Determine 17*b(y) + 8*r(y).\nAnswer: 1214*y**3 + y**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 38, -0.143, 140 in descending order.\nAnswer: 140, 38, -0.143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -7. Suppose -l*b = -b. Solve -n - 3 + 5 = b for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (92 - 27 + 78 + 12)*(235 - 235 - 22*t)*(-2*t**3 - 2*t**4 + 2*t**3).\nAnswer: 6820*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -u + 58, 0 = 2*l - 86*u + 81*u - 116. Solve -l*s = -46*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8 + -6012?\nAnswer: -6008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.62532 (b) 0.6 (c) 5 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -239*r - 236*r - 4695 = -162*r for r.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -875, -1240, -1591, -1922, -2227, -2500, -2735, -2926?\nAnswer: -3067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k - 208845 = -34*k - 21*k. Is 65 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 2*i**2 + 16*i + 18. Let k be x(-1). Solve 3*t + k = -t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -86 - -89. Suppose -2*u = -2, 4*u + 1 = 4*l - f. Let c = l - -13. What is the remainder when 39 is divided by c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 528627627 to the power of 1\/3, to the nearest integer?\nAnswer: 809","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/27, -1, 3, 0.01, -0.4 in increasing order.\nAnswer: -1, -0.4, -4\/27, 0.01, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*j + 27*j = -14. Let s be ((2 - 1)*4)\/2. What is the greatest common divisor of j and s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1500*s + t = -1499*s + 1, 2*s - 3*t = -7 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/6 - (-1828622)\/6. Let a = j - -55230. What is a rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (15 + -3) - -4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*p - 120 = -12*p + 664 for p.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0, -3, 437179 in decreasing order.\nAnswer: 437179, 3, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -196396.33842 + 134329.07991755. Let d = y + 61951.2585. Let k = d - -116. What is k rounded to 6 decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20523474*a**2*p**2 + 50*a*p**2 + 3162*p**2 - 2*p wrt a.\nAnswer: 41046948*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (89875\/3559050)\/((-1)\/(-90))?\nAnswer: 25\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 44*r + 2. Let j(q) = -10. Let l(a) = a**2 + 20. Let p(h) = 5*j(h) + 2*l(h). Let n(m) be the first derivative of p(m). Calculate w(n(z)).\nAnswer: 176*z + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4064\/6 + 3\/6*(-784)\/(-147) and 50.\nAnswer: 3400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, 2\/11, -5, 0.3, 13?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 69213 rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**4*v*((v\/v**(-2))\/v)\/v)**(-2\/5)*(v\/(v**(-2\/7)*v))**(-8)\/(((v**(-3\/4)*v)\/v)\/v**(-2\/5)) assuming v is positive.\nAnswer: v**(-607\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2057)*-1 + sqrt(2057))*3)**2 - (sqrt(2057) - sqrt(2057)*-4)*4.\nAnswer: -220*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**1*c)**(-1\/2)\/(c**(2\/25)*c*c*c**(2\/19)) assuming c is positive.\nAnswer: c**(-1513\/475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 183286 a multiple of 271?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -53\/224 + 3\/32. What is the nearest to 1 in y, 0.3, 1\/4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the first derivative of 18*l**3 + l**2\/2 - l + 4. Is b(1) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-x**2 + 3*x**2 + 0*x**2)*(10389075*x - 10389075*x - 5495*x**2) as g*x + d*x**4 + j + f*x**2 + l*x**3 and give d.\nAnswer: -10990","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 9066 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**2 + o - 6. Is 28 a factor of x(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**2 + 6*t + 14. What is the tens digit of b(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -s**4 + 0*s + 17437 - s**4 - s**3 + 3*s**2 + s - 17436 in the form y*s**3 + f + n*s**2 + m*s + a*s**4 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16375 and 375?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 - 397*a**2 + 3567*a + 117266. Determine o(387).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -28339.2 times -0.4\nAnswer: 11335.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1479, -1480, -1481?\n\"Answer: -b - 1478","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*u + 0)*(0*u - 5*u - 4*u).\nAnswer: 18*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6710723 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 231 + -322231023?\nAnswer: -322230132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 136*y + 830. Let z be u(-6). Solve 21 = 7*w - z*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 + 7*g - 10 + (-3 + 3 + 2)*(g - 2*g + 2*g))*(2*g**2 + 2 - 2).\nAnswer: 18*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -8, 2, 4, -5?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 i when two letters picked without replacement from oioiouioooou.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 + 0\/(-1) + -2. Suppose w*c - 2*c = -20. Suppose -p = -4*l - 7 - 7, 0 = -3*l - 6. What is the remainder when c is divided by p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 71*l**2 + 7*l - 68. List the prime factors of g(9).\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 211294.\nAnswer: 2, 29, 3643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -29135, -60613, -92091?\n\"Answer: -31478*h + 2343","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -884363, -884324, -884285, -884246, -884207, -884168?\n\"Answer: 39*w - 884402","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 2*q. Let g(u) = -242763*u + 60. Determine g(w(l)).\nAnswer: -485526*l + 60","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/(-1) + (-19)\/(266\/42). Let k(h) be the second derivative of 0*h**2 - 8\/3*h**3 + d - 2*h. Let a(y) = y. Calculate a(k(c)).\nAnswer: -16*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*b**4 + 3*b**4 + b**4)*(24 + 45 + 81) in the form g*b + a*b**3 + m*b**2 + n*b**4 + t and give n.\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**2 + 6*p + 3. Let f be x(-6). Sort 2, -5, f in ascending order.\nAnswer: -5, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 0*f + 4*f = -15, 3*l - f = 1. Which is the nearest to l? (a) -4 (b) 0.1 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.11757192 and 306329?\nAnswer: 306329.11757192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3361 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: Expand (-5 + 1 + 2)*(1 + 1 - 8)*(2*p**2 - 3*p**2 - 5*p**2)*(12*p + p + 8*p).\nAnswer: -1512*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 1 - 1 - 32*n + 4*n + 1 - 59*n. Let j(u) = 6*u. What is w(j(i))?\nAnswer: -522*i + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37559, -75085, -112583, -150041, -187447?\nAnswer: -224789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 AM and 9:08 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*a**2 - 754 + 2*a**4 + 11*a**2 + 3778 + 1131 wrt a.\nAnswer: 8*a**3 + 34*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**2 - 16*w - 59. What is g(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 355576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.05, -0.3, 0.015315063 in decreasing order.\nAnswer: 0.015315063, -0.05, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -503 (base 6) in base 13?\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26 and 806?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 0*c**2 - 3 + 2 - 5*c + 2*c**2. Suppose -32*z + 27*z - 20 = 0. Is h(z) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 9.1259045516 from -241.\nAnswer: -250.1259045516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t**(3\/29)*t))\/(t*t*t**(3\/29)))**(14\/5) assuming t is positive.\nAnswer: t**(-896\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 239 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*t**4 + 8823*t**3 + 1563501*t**2 - 21825144*t - 79309692 = 0.\nAnswer: -374, -3, 63\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1120 and 3010.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 74 + -63. Calculate the highest common divisor of 22 and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -42452, -1, -22, -3 in descending order.\nAnswer: -1, -3, -22, -42452","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.4 (b) 4 (c) -23 (d) -1\/108 (e) 0.3 (f) 2\/11 (g) 0.06\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000303222982 rounded to 7 dps?\nAnswer: 0.0000303","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 7*t + 6 = 0. Let v be ((-572)\/(-564) - 1)\/((-355)\/(-213)). Is t < v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2736109 and 6836?\nAnswer: 1709","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1443069, -2886126, -4329173, -5772210, -7215237, -8658254?\nAnswer: -10101261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 263666 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(-5))**(2\/27) assuming p is positive.\nAnswer: p**(4\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**4 - 2209232*g**3 + 813427438464*g**2 - 99821644600253440*g - 3195125649299308544.\nAnswer: 2*(g - 368216)**3*(g + 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 319?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-64)\/9 - (-2000)\/1800\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 118 + -63. Is 55 greater than or equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -117\/580 and (-23)\/(-5175)*(-9 - 279\/12).\nAnswer: 8700","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 168*i - 2900 = 173*i. Suppose 3*q = 697 + 1862. Let f = i + q. What is the tens digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/7)\/i**(-1\/8))**21 assuming i is positive.\nAnswer: i**(69\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2344 to the power of 1\/2, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1222, -1269, -1334, -1417, -1518, -1637, -1774?\nAnswer: -1929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 24287, 24800, 25311, 25820, 26327, 26832?\n\"Answer: -j**2 + 516*j + 23772","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 12243?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 250 - 463. Let r = 211 + j. Which is the fourth biggest value? (a) r (b) 5 (c) -1\/3 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 12:33 AM?\nAnswer: 1:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the third derivative of 1\/60*l**5 + 0 + 1\/960*l**6 + 5\/24*l**3 + 0*l - 19\/192*l**4 + 8*l**2. Suppose c(u) = 0. What is u?\nAnswer: -10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 44148?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*w**3 - 6*w**3 + 2*w**3)*(-7*w - 26*w + w) + (4*w**3 + w**3 - 3*w**3)*(4 - 4 - 2*w) - w - w**4 + w - 2*w**4 - w + w + 0*w**4 + 4*w**4 - 2*w**4.\nAnswer: -325*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -6145.9792 to the nearest integer.\nAnswer: -6146","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 115, -2\/7, -3\/71, 0.5, 0.2, 0, 6\/11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 317\/4 (b) 0.2 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 4, p: 2, r: 1}. Give prob of picking 1 p, 1 t, and 1 r.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1451, 1453, 1455?\nAnswer: 1457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 878?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24 and 4.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35, 29, 13, -19, -73, -155, -271?\nAnswer: -427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -3*(6*sqrt(5)*-3 + -2)*-4.\nAnswer: -216*sqrt(5) - 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 - 2182551732.1335\nAnswer: -2182551732.0335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 14*h**2 + 2*h - 97. Let k be a(10). Let n = -820 + k. Is 13 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8313 - 4182. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f + 2*i - 49, i = 4*f + 5*i - 188. Calculate the least common multiple of f and 15.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w - 1. Let t(u) = 0 - 2 - 4 + 2. Let n(z) = -z + 9. Let j(p) = 2*n(p) + 5*t(p). Determine -6*c(i) + 2*j(i).\nAnswer: 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 + 14*u**2 - 30*u + 29. Let t be m(-16). Which is the closest to -0.4? (a) 0.3 (b) t (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 119 = 4*s - 3*z, -3063*s = -3059*s + 5*z - 79. Solve -64 - 40 = s*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1019 a factor of 13013649?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 16390444 a multiple of 821?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3845.\nAnswer: 5, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*b**2 + 0*b**2 - 10*b**2 - 21*b**2.\nAnswer: -27*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1062\/885)\/((-3)\/(-40)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -i*n**4 + 134*i*n**2*r - 36*i*r + 5*i - 4*n*r + r wrt n.\nAnswer: -4*i*n**3 + 268*i*n*r - 4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -679 != -678?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**21\/(i*i*i\/(i*(i\/i**(4\/7))\/i)))**(-3) assuming i is positive.\nAnswer: i**(-387\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 66.9893 microseconds in nanoseconds?\nAnswer: 66989.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 491010?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4962117.\nAnswer: 3, 1654039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from kypkpt.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1167 - 1934. Let u = m + 852.9. Round u to the nearest ten.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 60*4\/28*(-1015)\/(-435).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2592 is divided by 700.\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*b**6 - 81648*b**5 + 2*b**3 - 1498667*b**2?\nAnswer: 480*b**3 - 4898880*b**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 735388 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -60 + -45.57041?\nAnswer: -105.57041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*z + 11*o - 8*o - 19, -5*z - 4*o + 10 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 578842402.\nAnswer: 2, 289421201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -6661 (base 11) in base 7?\nAnswer: -34411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -569.1 - -569. What is the biggest value in q, 1\/3, -5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -23 and -2509.\nAnswer: -2532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes before 9:17 PM?\nAnswer: 1:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7233513 + 4213513. What is a rounded to the nearest one hundred thousand?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 720 or 726?\nAnswer: 720","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/1*((-2646)\/(-28))\/(-63).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-17490)\/660*(64\/48)\/(4\/6)\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + -2. Let a(d) = 8*d**2 - 4*d + 4*d + z. Let n be a(2). Solve 4*m + 5*u - n = 0, u + 2 = m + 5 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v - 5. Let k be l(-7). Suppose -36000000 = k*h + 2*h. Round h to the nearest 1000000.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -5*x + 55 + 286, d = 3*x - 211. Calculate the remainder when 757 is divided by x.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 800?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 4*l = -28, m - 15 = 2*l + 3*l for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 2*g**2 - 45*g + 252. Let h be f(12). Solve 56*p - 63*p = h for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:23 AM and 9:18 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 6*i - 9*i. Suppose d - 5*l + 5 = 0, -i*d - 5*l = -5*d - 5. List the prime factors of (-3 + 2 + d)*(-2 - 111).\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 309090825*r**6 - 29*r**2 + 1296449 wrt r.\nAnswer: 37090899000*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0\/(-3) + -4)*(1 + -2). Let n(s) be the first derivative of 2\/27*s**3 + 1 - 2\/9*s - 1\/18*s**m + 1\/9*s**2. Suppose n(v) = 0. Calculate v.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1723464 and 324.\nAnswer: 5170392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 0, 3*j = -2*z + 4 + 8. Solve 31 = 3*s + 4*h, -h - 15 = s - z*h for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of v**4\/12 - v**3\/6 - v**2 - 4*v + 2. Let h(t) be the first derivative of m(t). Let f be h(3). Which is bigger: f or 1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*z**3 + 2 - 5*z**4 + z**3 + 4*z**4 + 0 as h + j*z + l*z**2 + u*z**4 + c*z**3 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 342 and 306?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) -19 (c) 0.1 (d) 5 (e) 0.5 (f) -125 (g) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 193*w - 1654 = -6286 for w.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 256*o**2 - 584*o + 147. What is a(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are 186 and 188 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oodoovvvoood. Give prob of picking 2 d and 1 o.\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/10 (b) -4\/3 (c) 6 (d) -6578.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1490304298?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (631\/(-1262))\/((10\/16)\/(-5)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 6, g: 6}. Give prob of picking 3 g.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10 - -17. Let j(g) = 13*g**2 - 2*g + 2. Let b(w) = 2*w**2 + w - 1. Let l(x) = -6*b(x) + j(x). Calculate l(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 27 - 18. Suppose -187*t - 108 = -181*t. Let o be 13\/(-6) + (-3)\/t. Sort o, 3, n, -5 in descending order.\nAnswer: n, 3, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**2 + 7*a + 9. Let c be x(-6). Is 3 smaller than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 94 + -82. Let k be 4\/(-10) + (-62)\/(-5). What is the highest common divisor of t and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1612585 is divided by 331?\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -19*y - 8 - 13*y + 29*y. Determine t(6).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2039793?\nAnswer: 3, 7, 137, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -y + 5*y + 10, -20 = -4*x. Let n be -10*(-24466 + (-5 + -4 - y)). What is n rounded to the nearest ten thousand?\nAnswer: 240000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 + 27*l**2 + 57*l + 56. Calculate a(29).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.156 and 122?\nAnswer: -19.032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4501 and 567?\nAnswer: 364581","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 192 and 792?\nAnswer: 6336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1\/3, -0.2, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 81\/(-1)*(-1 - 6). What is the common denominator of (-15)\/(-18)*v\/(-30) and ((-6)\/(-24))\/(2\/(-12))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -244 - -232 - (1 - 18)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*g + 3 - 3)*(4 + 1 - 3).\nAnswer: -16*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1705 times -0.3?\nAnswer: 511.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 11*d**2 + 44*d + 134. Determine o(-3).\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -14, -4, -2739?\nAnswer: -2739","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.049 + -0.04899928. What is k rounded to seven decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -23.2 - -13.1. Let i = x + 10. Let a = -6.7 + 8. Which is bigger: a or i?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/108277400 and 129\/6230.\nAnswer: 108277400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 724272, 723889, 723258, 722385, 721276, 719937, 718374, 716593?\nAnswer: 714600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.132 and -0.5?\nAnswer: 0.066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1250184?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24965, -25016, -25081, -25166, -25277, -25420, -25601, -25826?\nAnswer: -26101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the third derivative of v**6\/360 - 40*v**5\/9 + 53599*v**4\/24 - 17689*v**3 + 56*v**2 - v - 17. Let b(j) = 0. What is j?\nAnswer: 2, 399","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 2*f + 4*v, -v = -4*f - 5*v + 12. Suppose 4*x = 3*m + 2*x - 1, -4*m - 3*x + 24 = 0. Suppose 3*u = -0*u - m. Put u, f, 0 in descending order.\nAnswer: 0, u, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -280, -276, -262, -232, -180?\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -4*w**2 + 11*w - 11. Let c(r) = r**2 - 2*r + 2. Let z(h) = -11*c(h) - 2*o(h). Let q(l) = 3*l**2 + 3*l - 3*l. Determine q(z(x)).\nAnswer: 27*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 - 2*l**2 - 4*l - 3. Let a be p(-2). Suppose a*v = 24 + 6. Let r be (v\/9)\/(2\/9). Sort r, 0, -5 in increasing order.\nAnswer: -5, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 104 (base 5) to base 14\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 + 20*w**2 + 2*w + 47. Let o be m(-20). Solve -3*i = 2*z + 10, -2*z - 5*i = 3 + o for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1745 - -490. Let v = -549 - s. What is the hundreds digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the first derivative of -1\/3*v**3 - 5*v - 2 + 7\/2*v**2. What is h(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 6 = 5*u - 0*i, 5*u - 10 = -5*i. Suppose u = -2*d + 1053 + 1867. Suppose 2*c = 7*c - 3*z - d, 2*c = -5*z + 584. What are the prime factors of c?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 - 2)*8\/20. Which is the closest to -2\/5? (a) 0.01 (b) k (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the third derivative of 223*q**6\/60 - 535*q**5\/12 + 1509*q**2. What is the third derivative of w(a) wrt a?\nAnswer: 2676","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 1\/9, 4\/249, -4, 3, 0.2, 0.1?\nAnswer: 4\/249","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 328 + -8852\/27. Which is bigger: j or -1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -13, 0.3, 17?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 562438?\nAnswer: 2, 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -145*s - 125. Let f be d(-17). Let k = f - 124016\/53. Is 0 smaller than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11960, -11571, -11182, -10793?\nAnswer: -10404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeeeesrersrr. Give prob of picking 1 e and 2 s.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7369540?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -4*x + 6*o + 82197, 5*x = 2*o + 102725. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -5*s**2 - 3. Let b(z) = 11*z**2 + 7. Let y(d) = 3*b(d) + 7*g(d). Let q(w) = -102*w**2. Calculate q(y(c)).\nAnswer: -408*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**2 - 18*g + 3. Calculate c(-18).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 288162110?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5\/15 + (-64)\/12. Suppose 27 = -f - 3*i, 0 = -4*f + 8*f - 3*i + 123. Sort f, 5, n, 1 in descending order.\nAnswer: 5, 1, n, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 13106 (b) -4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*v - 2*v - 2*v)*(-3 + 2 + 4) + (-1 - 2*v + 1)*(-3 + 1 + 1) + 4*v + v - 4*v to t + q*v and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b**4\/3 - 36422*b**3 + 218524*b**2 - 1311128*b\/3 + 291360 = 0. Calculate b.\nAnswer: 2, 109260","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4720851?\nAnswer: 3, 61, 8599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -53241155 (base 7) to base 8.\nAnswer: -21161010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**2 + k + 76. Let r(w) = -w**3 - 83*w**2 + 359*w - 18. Calculate the remainder when a(0) is divided by r(4).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60679295 is divided by 144?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from {a: 2, o: 1, m: 1, j: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 143 - 999\/7. Let d = -859 + 858.9. Which is the nearest to y? (a) -2 (b) d (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -43*o. Let b(a) = 12*a. Let i(p) = -p**2 + 18*p. Let s(m) = 3*b(m) - 2*i(m). Calculate d(s(n)).\nAnswer: -86*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 592 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oqm when three letters picked without replacement from qqqqqqomvevvmqvqvqv?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 5*p - 25 = 0, 0*u = -2*u - 4*p + 22. Suppose 3*m = 4*q - 653, -5*m - 88 = u*q - 948. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 11937953\/2 or 5968978?\nAnswer: 5968978","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**5 - 118*w**4 - 1386*w**3 + 189486*w**2 - 2874960*w.\nAnswer: 2*w*(w - 33)**3*(w + 40)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together 474306329 and -4344.\nAnswer: 474301985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 10531*v. Let p(o) = -10*o. Determine p(z(g)).\nAnswer: -105310*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 15*m**2. Let b be i(-1). Let l = 20 - 20. Suppose -n - 4*n + b = l. Solve 3 = n*r - 6*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 89 = -39. Let p = d - -54. Suppose 45 = 9*k - 4*k - 5*w, 4*w = 5*k - 48. Calculate the lowest common multiple of p and k.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7461\/59 or 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(1\/(-42) + (-13)\/91). Let l be i\/(-4)*(-16)\/(-6). Suppose 387 + 525 = l*a. Is a a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 61490778 and 47678.\nAnswer: 1538","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes after 4:05 PM?\nAnswer: 10:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/6)\/(2\/3)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1230132 (base 4) to base 11.\nAnswer: 5241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 102794 rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 249 and 1505523.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -806576, -806440, -806212, -805892, -805480, -804976, -804380?\nAnswer: -803692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 c when two letters picked without replacement from {c: 3, o: 4}?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/(-5)*765\/(-153).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - -17?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -56456146 divided by 28228073.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12 - 7. Suppose 0 = 8*c - b*c - 15. Suppose 0 = -3*y + t + 12, 2*t = -2*y + 3*y - 9. Put y, 1, c in ascending order.\nAnswer: 1, y, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -230001 (base 4) to base 7\nAnswer: -11133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.2, 73, 8680, 0.3, -0.4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 + 6*b**2 + 4*b + 4. Let g(w) = -w**3 - 6*w**2 - 5*w - 4. Suppose 4*y - 15 = -y. Let p(x) = y*a(x) + 4*g(x). What are the prime factors of p(-5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11111001000 - 1101100?\nAnswer: -100000110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j + 9. Let k = -8 - -12. Is m(k) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -141 - 115*d**3 - 121*d**3 + 128*d - 116*d**3 - 69*d - 67*d wrt d.\nAnswer: -2112*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 9, v: 1, t: 1}. What is prob of sequence vt?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*f - 17 = -6. Let y(w) = 3*w**3 - 6*w**2 + 2*w - 5. Let d(t) = -2*t**3 + 7*t**2 - 3*t + 6. Let n(h) = 4*d(h) + 5*y(h). Determine n(f).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 58 + -51. What is the greatest common factor of 7 and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 - (-36 + (-14 - -58)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 101708154.\nAnswer: 2, 3, 5650453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 560401700.\nAnswer: 2, 5, 109, 51413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6.3 + 1.3. Let o = 4131.7 + -4132. What is the nearest to 2\/5 in -3\/2, o, j?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 4*a - 17, -3*a + 2*h + 23 = 4. Let p be (2\/6)\/((-1)\/a). Let f be (2\/(-20)*-2)\/(-1). Which is bigger: p or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1486.296 decades?\nAnswer: 14862.96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2469598 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-6))\/((-3)\/(18\/8))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6 + 2 + 3 + 1. What is the highest common divisor of 3 and z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 228144.331 and -0.0659.\nAnswer: 228144.2651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 2*w + 1642 = -h, 0 = -2*h + 5*w + 1101. Let l = -231 + h. What is the first derivative of -l*c - 9 + 20 + 312*c wrt c?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1459906*j**4 - 1614*j**2 - 2*j + 27 wrt j?\nAnswer: -35037744*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 11222 - -5?\nAnswer: 11227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, j: 5}. Give prob of sequence jpjj.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 839834 is divided by 143.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -5 (b) -0.3 (c) 4 (d) -0.34\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0\/((-6)\/(-18)*3). Suppose -2*a + 2 = p, y = -2*a - a + 406. What are the prime factors of y?\nAnswer: 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 243, 475, 707?\n\"Answer: 232*b + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 830928474?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -267 = 3*n - 6*n + 5*g, 4*g = -5*n + 371. Calculate the highest common divisor of n and 5293.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 + 31. Suppose -x = 5*r + g, 4*x = -0*r + 2*r + 30. Solve 2*p = -m + 8, 4*m - p = 1 - x for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7235 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - -54 - (40 + 56)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 567 (base 12) to base 10.\nAnswer: 799","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20022 + 0?\nAnswer: 20022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-53)\/4 - 7\/(-28). Let n = 16 - b. Let h = n + -15. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -33*u + 66*u**2 - 26*u + 60*u + u**3 + 74*u**2 as w + f*u + h*u**2 + i*u**3 and give h.\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -a**3*r**2*z - a**3*r - 2*a**3 + 36*a**2*r + 7*a*z**2 - 46*r**3*z + 92*r**3 wrt z.\nAnswer: -a**3*r**2 + 14*a*z - 46*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and -2104.20335.\nAnswer: -2104.20335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 174567909 a multiple of 285?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 280*f*o*q - 17*f*o - 5*f*q + 96*f - 11*o*q - 890954*o - 1 with respect to f.\nAnswer: 280*o*q - 17*o - 5*q + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 1 - 4. Solve t*r = -15 - 5 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -144*x - 13973 = 153*x - 35477 - 16512 for x.\nAnswer: 128","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**3 - 11*s - 8. Let d(y) = 7*y - 8. Let r be d(2). What is the hundreds digit of a(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.03+-0.12245\nAnswer: -0.09245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -3*(-2 + sqrt(1300) + 1 + 0)*1)**2.\nAnswer: -300*sqrt(13) + 11725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -27665340 divided by -32169?\nAnswer: 860","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 93457, 93311, 93165, 93019?\n\"Answer: -146*g + 93603","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*1*(-6)\/3*(-1)\/(-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**3 - 236*v**2 - 478*v - 240.\nAnswer: 2*(v - 120)*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.8? (a) -1\/2 (b) 1\/3 (c) 0.1 (d) 0.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*((-14)\/6)\/((-24)\/18).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 155*d + 155*d + 37261 = 317*d. Does 98 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -33 + 37. What is the least common multiple of s and 5?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/6*(4 + -1). Suppose -99 = -3*z - u*d, 3*z + d = -4*d + 99. Suppose -6*f + z = -33. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the first derivative of 26*a**4 + 62*a**3\/3 - 34. What is the third derivative of w(b) wrt b?\nAnswer: 624","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -184 + 288. What are the prime factors of g?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1226 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/39 in -0.1, 1\/3, -1\/2, 0.5, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.1 (b) -1585 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 + (-32)\/(-12)*-3. Which is greater: n or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -7. Let i = -10 + h. Put i, 2, 0.2 in ascending order.\nAnswer: i, 0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(405) - (-3 + (1*sqrt(405) - sqrt(405)))) + (2*(1 + sqrt(405)) - sqrt(405)) + 5)*2 - (1 + (-1 + (sqrt(405) + 1)*-4)*6)**2.\nAnswer: -234101 - 12492*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 a when three letters picked without replacement from xstsstxtskgkxsssat?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes before 9:39 AM?\nAnswer: 4:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -685580 - -2.1?\nAnswer: -685577.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2298*c*d**3*u - 2*c*u**2 - 4*d**3*u + 6*d*u**2 + 1 with respect to c.\nAnswer: -2298*d**3*u - 2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 - (9 - (-105)\/(-5)))\/(1\/(-5))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10001001110110101011 (base 2) in base 15?\nAnswer: b2486","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105*d - 33*d - 111*d = -2852046. Is 71 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r. Let p(g) = 2048*g. Calculate p(o(b)).\nAnswer: -2048*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10943 - 22871 - 95036 = -143*z. Calculate the remainder when z is divided by 13.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-45)\/(6*(-2)\/8). What is the highest common factor of k and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 90 + -45. Is 15 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1149853 - 11*j + 574112 + 575741.\nAnswer: -11*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -40142649 divided by 1691?\nAnswer: -23739","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.63 + 0.97. Let c = q + -0.14. Put c, 5, -2\/13, -2\/3 in descending order.\nAnswer: 5, c, -2\/13, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-358)\/282 + (-88)\/(-66). Let p be -1*(-3)\/21*-2. Which is the third biggest value? (a) g (b) p (c) 0.5 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 2858*m - 1243212. Determine z(435).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*u**2 + 78*u - 190 = 0 for u.\nAnswer: 19\/4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*d**2 + 18*d**2 + 568894 - 284480 - 284414.\nAnswer: 39*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1318777447?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, q: 3}. What is prob of picking 2 t?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w - 2. Let l be s(0). Let b be (-1)\/((6\/3)\/l). Let k be b\/(2\/8 - 0). Solve 3*c = c - k for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 3*g + 148 = 0, -2*m + 3*m + g - 28 = 0. Let w = -25 + m. What is the second derivative of 6*n**2 - 6*n + 5*n + w*n + 5*n wrt n?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4480, -2, -10, 2, 37.\nAnswer: -4480, -10, -2, 0, 2, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of -c**3\/3 - 7*c**2 - 49*c - 16. What is i in z(i) = 0?\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-100)\/(-40))\/((-2)\/4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x**2 + 5452*x - 201456 = 0 for x.\nAnswer: -1399, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -240502, -243972, -249748, -257824, -268194, -280852?\n\"Answer: a**3 - 1159*a**2 - 239344","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.217 and -19315267?\nAnswer: 19315266.783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 691*f**2 + 690*f**2 + f - f - 1383*f**2.\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2650663 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (36*o - 36*o + o**3)*(6*o - 4*o - o)*(3 - 2 + 0).\nAnswer: o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1582 - 0.5.\nAnswer: -1582.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 + -11. Let a(o) = -10*o**3 + o**2. Let r be a(g). Let v = r - 5. What is the remainder when 17 is divided by v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.11 + -1.19. Let v = 2.93 + -7.93. Let p = z - v. What is the second smallest value in p, -3, 0?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 43*a - 67 = -40*a, 3*m + a = -44 for m.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-6)\/z)**(2\/121)*z**9*z\/z**(2\/25) assuming z is positive.\nAnswer: z**(29658\/3025)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19809847.\nAnswer: 41, 483167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9789 is divided by 121?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 42 = -u, 0 = -n + 4*u + u + 20. Let y = -18 + n. Let a = -1 - y. Calculate the remainder when a is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -113 + 113 + 42*v**2 + (-1 - 2 + 1)*(0 - v**2 + 0) - v**2 + 4*v + 1 - 4*v to the form x + b*v + f*v**2 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 61*c**4 - 4*c**3 + 4*c**2 + 8*c - 8. Let t(j) = j**4 - j**3 + j**2 - j - 2. Let s(v) = 4*t(v) - u(v). What is the second derivative of s(l) wrt l?\nAnswer: -684*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 + -4. Suppose -4*h + 16 = -2*f, 0 = 5*f - c*h + 3*h + 7. Let j(r) = -4*r**2 + r + 1. Give j(f).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -191*y - 8555 + 2155 - 13970 = 100*y for y.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -154020202+0.1\nAnswer: -154020201.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2030 - -2035. Solve s - 2*s = -q*u + 3, -2*u = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 0*b + 3*b + 16 = 0, -4*k + 2*b - 64 = 0. Let y = k + 17. Let f(q) = 21*q - 3. What are the prime factors of f(y)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 5, k: 5, h: 1}. What is prob of sequence aka?\nAnswer: 10\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46885373 is divided by 558?\nAnswer: 539","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -3311230 (base 4) to base 9\nAnswer: -23511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (8190\/(-50))\/((-9)\/30). Let s = -543 + z. Solve s*q - 11 = -2 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 3*s - 0*s + 14, 3*s = -n + 10. What is the second derivative of -7 + 6 - 11*w**n + 6*w + 1 wrt w?\nAnswer: -132*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -3 + q**2 + 21*q - 59*q + 28*q + 0. Calculate the lowest common multiple of s(11) and 28\/(-49) + 312\/7.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 35 - 106\/3. Let s = -7 - 11. Let g be 15\/s*(-1)\/(-5). What is the nearest to 1\/3 in 0.3, x, g?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16875 and 255.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2698.7 * 88.5.\nAnswer: 238834.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -100980 or 1747?\nAnswer: 1747","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1010100 (base 2) to base 6.\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 2*l**3 - 15*l**2 - 8*l + 1. Let c be z(8). List the prime factors of 995\/6 - 2\/(-12*c).\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j**2 + 1502280*j + 141052824900 = 0 for j.\nAnswer: -187785","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.4 (b) 2 (c) -0.5 (d) -1\/5 (e) 0.062498\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -4*n - 17. Let l be w(-5). Suppose -4*m = -l*m + 9. Are m and -11 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l**2\/25 + 1592*l\/25 + 3176\/25 = 0.\nAnswer: -794, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 14*z - 727 = 19*z, 0 = -c - 2*z + 377. What is the remainder when c is divided by 189?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -97*h + 96. Let k = 259 + -251. Let x be z(k). What is x rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (18\/(-4) + 5 - (-9)\/(-14)) + 0\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/(-1050)*(24\/(-2 - -8) + 0).\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 + d**2 - 2*d + 41. What is the remainder when 81 is divided by s(0)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1744 times -24\nAnswer: 41856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 36\/432*45\/2*(-8)\/(-18)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxxxxvxxvx. What is prob of sequence xx?\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 127 and 802386?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3973229 and 104.\nAnswer: 31785832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6 and 2.4?\nAnswer: 14.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together 10.6 and -109.65.\nAnswer: -99.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 98 a factor of 130634?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 - 2*b**2 - 10*b + 23. Let f be k(2). Let c = 167.19 - 3.19. Let l = c - 95. Put -2, l, f in increasing order.\nAnswer: -2, f, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8084 + 9688 - 78059 = -5*i. Is i a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 47 + (1 + -13 - (3 - 2)) + (38 - 26)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - -1080?\nAnswer: 1076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 - 2*j**2 + 5*j + 5. Let w be n(-4). Let l = w + -14. Let p be (l - 7)\/4 - -1. Which is greater: p or -10?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -136\/495 or -1?\nAnswer: -136\/495","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 19 + 13 = 0. Find the third derivative of 13 - 5*c**2 - 13 - d*c**6 wrt c.\nAnswer: -960*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 13\/4, -6\/17, 651 in ascending order.\nAnswer: -6\/17, 13\/4, 651","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z = -4*h - 12, 5 = -5*h - 10 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6899 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -b + 2, 3*b - 5*y = -0*y + 8. Let j(f) = 3*f + 12. Calculate j(b).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100.009 rounded to the nearest ten?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -147 - -187. Let a = -31 + n. Suppose -16 + 10 = -w. What is the greatest common divisor of a and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-6))\/((-3)\/4).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -27860 and -23.\nAnswer: 640780","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 + 45*w**2 - 40*w + 313. Calculate d(-46).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes before 4:49 PM?\nAnswer: 7:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2997847 years to months.\nAnswer: 3.5974164","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 32700 minus 4534?\nAnswer: 28166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 593.28 + -605. Round b to the nearest integer.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a + 6*a - 2*a)*(-2 + 2 - 3)*(4*a - 4*a + 2*a**2).\nAnswer: -6*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -11487*a**3 - 2*a**2 + a + 3. Let g be f(2). Let y = g + 381899. What is y rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:57 PM and 9:04 AM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 14.4 times -21\nAnswer: -302.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1679*k**3 + 862*k**3 + 863*k**3.\nAnswer: 46*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4628?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -1112*g**2 + 32*g - 26. Let i(c) = -371*c**2 + 11*c - 9. Let k(z) = -6*h(z) + 17*i(z). What are the prime factors of k(1)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the third derivative of -p**7\/210 - p**6\/40 - p**5\/20 - p**4\/24 - 13*p**2. Factor g(a).\nAnswer: -a*(a + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1816?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 5 - 1)*(-4*l + 2*l + l) + (3 + 1 - 2)*(l - 3*l - 3*l).\nAnswer: -13*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is (4 - 8) + 817 + -4 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 395005.5 * -7.\nAnswer: -2765038.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 287 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, -29108, 2\/7, 1\/10, -2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6a06c - -43d?\nAnswer: 6a4aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*m - 17*m + 13*m + (4 - 2 + 0)*(m - 2 + 2) + 3*m + 0*m + m)*(0 + 0 - 1).\nAnswer: 8*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18 + -23. Suppose -p = -0*p - 12. Let b = -17 + p. Is f >= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1337, -5, -2, -15, 2, -4.\nAnswer: -1337, -15, -5, -4, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 315 is divided by 65.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/5 (b) 50 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 25\/(-9) + 3 - (-630)\/81. Let o(x) = x**3 + 6*x**2 - 6*x - 4. Let p be o(-7). Let i = -6 - p. Solve -3*d = -i*l + 23, s = -2*d + 4*l - 10 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23 - 35 + 2*p**2 + 16 - p**2.\nAnswer: p**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes after 4:03 AM?\nAnswer: 12:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -2*g + 212, 2*b - g + 121 = 321. Calculate the least common multiple of b and 210.\nAnswer: 3570","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4952\/66123 + -2\/2449. Let j(m) be the first derivative of 4\/9*m - n*m**3 - 1\/9*m**2 - 1. Factor j(p).\nAnswer: -2*(p - 1)*(p + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-12) + (-33)\/(-66)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 4*h - 4*k + 7, -4*k = 4*h. Let c be -1 - (h\/(-1) + -1). Suppose 12*n + 122 = -r + 84, -2*n = -3*r + 38. Sort n, c, 5 in decreasing order.\nAnswer: 5, c, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -9, -2, 1\/303, 0.66, -5, -1, 2\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:35 PM and 12:17 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 + -189?\nAnswer: -18b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (36 - (1 + -21) - (4 + 1)) + 10 - -5?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (14 + -5 + -17 - 6).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m. Let j(y) = -9*y**2 - 15*y - 7. Let i(q) = j(q) + 6*s(q). Let b(f) = 4*f**2 + 4*f + 3. Let n be (2 - (0 + -4 + 3)) + -1. What is n*i(p) + 5*b(p)?\nAnswer: 2*p**2 + 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 6*v**2 + 53*v - 22. What is u(0)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 142273?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the second derivative of -i**9\/5040 - i**5\/30 - 5*i**4\/12 - i. Let j(n) be the third derivative of h(n). Differentiate j(o) wrt o.\nAnswer: -12*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g**2 + 0*g**2 + 0*g**2)*(26 - 63 - 48)*(3 - 1 - 4).\nAnswer: 340*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(19) + sqrt(114)\/(sqrt(6)*1 + sqrt(6))) + (5 + sqrt(57)\/sqrt(3) - (sqrt(19) - (0 + sqrt(931)))).\nAnswer: 5 + 17*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/3)*d)**(-16)\/((d\/(d\/((d\/(d*d**(-5\/4)*d))\/d*d)))\/(d*d**(5\/6))) assuming d is positive.\nAnswer: d**(-79\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24c (base 15) to base 9.\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 5\/4 of a microsecond?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 - 4*s + 3. What is k(3)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4949600 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (111\/1110)\/((-1)\/4)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/2 at least -8\/207?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -5486347 (base 9) in base 13?\nAnswer: -7c3cb4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94910856 is divided by 134.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 132 by 10489.\nAnswer: 132\/10489","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i and 1 l when four letters picked without replacement from immticlmili?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of -2161*s**4\/2 + s**2\/2 - 808*s - 358. What is the second derivative of u(v) wrt v?\nAnswer: -25932*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 205772 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101669 is divided by 260?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(1\/4)*t*t**(-26)\/t assuming t is positive.\nAnswer: t**(-103\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 6478, 7818, 11452, 18526, 30186, 47578, 71848, 104142?\n\"Answer: 191*x**3 + x**2 + 6286","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w*w**6*w*w**(1\/4)\/w*w**(-10)*w*w*w**(-10) assuming w is positive.\nAnswer: w**(-39\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(12) + -2*sqrt(24)\/sqrt(2))\/(sqrt(12)\/(-2*sqrt(6)) - sqrt(2)))\/(sqrt(96)\/(sqrt(12) - (sqrt(1500) + sqrt(60))\/sqrt(5))).\nAnswer: -5*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 2*b**2\/5 - 1664*b\/5 + 1662\/5 = 0.\nAnswer: 1, 831","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3340 + 13346 - 6*x - 3332 - 3329 - 3345.\nAnswer: -6*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 138659979 is divided by 115?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2644 + -1273. What is the hundreds digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -256*b = -261*b + 20, -5*l - 24 = -b for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2203995*n**4 + 588*n**2 + 135 wrt n.\nAnswer: 52895880*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 34.8 - 31. Let o = 4 - k. Suppose -5*y - 20 = -0. Which is the biggest value? (a) o (b) y (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 314?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/4 and 65\/27605906.\nAnswer: 55211812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 251 + -185. Factor -851*l**3 + 854*l**3 - 60 + 55*l - k*l**2 + 68*l.\nAnswer: 3*(l - 20)*(l - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10.7 + -10. Let f be (4\/18)\/((-4)\/(-9)). Which is the smallest value? (a) 3 (b) t (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -676501 and -4?\nAnswer: 2706004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -2 + sqrt(245) - sqrt(245).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (550\/(-44)*((-198)\/(-135))\/(-11))\/((-5)\/(-144))\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -303 or -295?\nAnswer: -303","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -474 (b) -127\/7 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(567) - (sqrt(567) + -2)))**2 + 4 + -5*((sqrt(567) + (sqrt(567) - sqrt(567)*1))*-1 + sqrt(567)).\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/(n\/n**(-1\/8))*n)**(-5\/6))**(-39))**(2\/15) assuming n is positive.\nAnswer: n**(91\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -4*g**3 + 16 + 3*g**3 + 15*g**2 - 319*g + 334*g. Let r be z(16). Solve y + 4*p - 2 = -r, 3*p + 6 = 3*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2111*r**3 - 4485*r + 8971*r - 2115*r**3 - 4486*r.\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 - 3*p**2 - 3 + 9*p**2 + 4*p + 0*p**2. Let w be f(-5). Let c(z) = -2*z**2 + 4*z - 2. Let v be c(w). Round v to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, -1068, -2911, -5520, -8889?\nAnswer: -13012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.04 - 5.56. Let v = -126.469 + 118.93. Let n = w - v. Round n to 2 dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z - 11*z = -4*q + 3024, 2*q - 5*z = 1520. Does 9 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -0.02 (c) 2\/7 (d) 2 (e) -1\/4 (f) -1.23\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a millennium in months?\nAnswer: 42000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 17713019 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -127, -379, -805, -1417, -2227?\n\"Answer: -2*f**3 - 75*f**2 - 13*f - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1865175 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*o - 413 + 375 - 5*o)*(0 + 0 + o**2) + (o**2 + o**2 - o**2)*(-4*o - 2*o + 5*o) + (2 + o - 2)*(-o**2 + 2*o**2 - 3*o**2) - 3*o**3 - o**3 + 2*o**3.\nAnswer: -3*o**3 - 38*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 4*w**2 - w - 2. Let o be q(-2). Let s be ((-8)\/(-8))\/((-2)\/(-78)). Let h = s + 9. What is the greatest common factor of h and o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**2 + 24*b + 23. Let a be g(-23). Solve a = -141*d + 151*d + 50 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17888855?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gggggggggg. What is prob of sequence gggg?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/(-9) - 2\/3. Suppose p = 2*v - 7*v + 10. Is (v - (2 - 89)) + 2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1173, 6, 5, -5, -4, 1 in ascending order.\nAnswer: -5, -4, 1, 4, 5, 6, 1173","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the second derivative of -53*g**6\/30 - 5*g**4\/6 - 449*g**3\/6 - 1158*g. Find the second derivative of u(l) wrt l.\nAnswer: -636*l**2 - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3113 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m - 21. Let v(c) = 4. Let d(a) = -4*r(a) - 22*v(a). Let b = -1205 + 1221. Calculate the least common multiple of d(-3) and b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 357887953 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 21 and 252?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 63?\nAnswer: -4\/63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c - 136 = -41*c. Suppose 3*u - c = d - 0, 2*d = 10. Solve -24 = 5*f + 2*n, -2*n = 2*f + u*n + 18 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 - 3*g**2 + 7*g - 1. Let f = -170 - -165. Calculate j(f).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21893091 bigger than 21893091?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 267 - 510. What is o rounded to the nearest ten?\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 - 13*x**2 + x - 10. Let i be h(13). Suppose 0 = -a + i + 52. List the prime factors of a.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 + 3839.7?\nAnswer: 3840.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a second in milliseconds?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes before 8:45 PM?\nAnswer: 3:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(3\/5))**11\/(i\/(i**41\/i)*i*i**33))**(1\/11) assuming i is positive.\nAnswer: i**(58\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/1 - (18\/(-2) + -33).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 3*p - 15, -v - 4*p = -6*p - 18. Suppose 10 + v = 3*i + 4*m, -3*m = 5*i - 53. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 10*o**3 - 2*o**2 + 1. Determine p(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.5 (b) -42.2 (c) -2\/15 (d) 2\/13 (e) -1.6 (f) 4 (g) -0.06\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 + 14. Let q = -7.929 + b. Round q to two dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/20 of a kilometer?\nAnswer: 5000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 346152996 and 8?\nAnswer: 692305992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 5*s - 288 = 0. What is the common denominator of 89\/2 and (-294)\/s - (-1 + 2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wjaw when four letters picked without replacement from ajwrwaarj.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum -210 and -0.13.\nAnswer: -210.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 4*x**2 + 28*x + 2. Let j be k(-7). Suppose 240*w + 42*w**j + 7200 - 50*w**2 + 10*w**2 = 0. What is w?\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 + 9*w + 20. Let u be j(-6). Suppose i - 938 = 3*g, -u*i + g + 3*g = -1884. Let c = -663 + i. List the prime factors of c.\nAnswer: 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -l**2\/5 + 58*l\/5 + 2208 = 0.\nAnswer: -80, 138","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/21 and 32\/1239.\nAnswer: 1239","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 102 divide 17238?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 23.337 + -23.3. Which is the smallest value? (a) 1\/3 (b) -0.3 (c) r (d) 0.1 (e) -1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5123 is divided by 526?\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000142067 rounded to six dps?\nAnswer: 0.000142","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 4*r - 15 = 0, -z + 17 = z - 5*r. What is the remainder when (2\/(-6))\/((-8)\/24) is divided by z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 473\/165 + (0 - 0) + -3. What is the closest to 1\/5 in m, -2, 0.6, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 542362962 to the nearest integer?\nAnswer: 816","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**4 + 16*y**3 + 16*y**2.\nAnswer: 4*y**2*(y + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 93629 to the nearest ten thousand.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 3*a - 15, 198*a + 33 = 2*o + 205*a. Suppose 3*j + 720 = -y + 4*y, 4*y - 960 = -2*j. What is the greatest common factor of y and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18525 + -18530. Let j(i) = -2*i**2 - 5*i - 3. Calculate j(m).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3182759 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -113 - -118.3. Let b = f - 5. Let p = -6.1 + 6. Put p, 0.03, b in decreasing order.\nAnswer: b, 0.03, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -2*f**2 + 21*f + 12. Let w = 225 - 214. Let m be y(w). Are 1\/66 and m unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Divide -27394 by -381.\nAnswer: 27394\/381","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -129*y + 138*y. Sort y, -4, 145, 0.\nAnswer: -4, 0, y, 145","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -386*m*s**3 + 95*m*s**2 - 66*m*s - 4148*s**2 - 90*s - 6770 wrt s?\nAnswer: -2316*m*s + 190*m - 8296","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7051 + -7005. What is the remainder when 8462 is divided by t?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/30*1)\/((-12)\/(-1980)*9)?\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000133707 rounded to six decimal places?\nAnswer: -0.000134","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in twenty-one halves of a century?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 1508 = -8*w. Let o = w + -3897. What is o rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -55*m + 25. Let j(g) = 9*g - 4. Let l(s) = 25*j(s) + 4*r(s). Let v(z) = 33*z**2. What is l(v(f))?\nAnswer: 165*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 14164781 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the second derivative of q**4\/6 - 2*q - 140. Let s(t) = -2225*t**2. What is r(s(h))?\nAnswer: 9901250*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*j*q**2 + 538*j*q + 492275*j - 194*q**2 + q wrt q.\nAnswer: -4*j*q + 538*j - 388*q + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*u - 5*u**2 + 23*u + 3*u**2.\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the third derivative of a**9\/5040 - 7*a**8\/720 - 17*a**7\/630 - 167*a**5\/60 - a**2 + 86*a. Let s(b) be the third derivative of u(b). Factor s(x).\nAnswer: 4*x*(x - 17)*(3*x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(42)\/sqrt(6) + 4 - (sqrt(7) + -2 + 1)**2) + 5.\nAnswer: 1 + 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 850 - 6851\/8. What is the common denominator of 2\/(-4) - (-87)\/4 and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 + 35. Let n = 48 - w. What is the remainder when 46 is divided by n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 34 = 3*z, 32 = 6*d - 3*d - 4*z. Calculate the highest common factor of d and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 4*r - 158 = 0, 5*r - 460 = 2*f + f. What is the units digit of 4\/14 + f\/(-14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 51002102 (base 6) to base 3\nAnswer: 2201111122102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vq when two letters picked without replacement from mqqqqmqqqmmqvqqqqqqm.\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 - (-5)\/(15\/9). Let y be p\/(-2)*20\/(-15). Find the common denominator of (0 - 22\/18) + y and -69\/2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15 - -21. Let x be (-5)\/(-15)*6\/(-4)*-4. What is the third derivative of -20*f**2 + 37*f**2 + x*f**o + 0*f**6 wrt f?\nAnswer: 240*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -47c9c3 (base 15) in base 5?\nAnswer: -1334401313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7754 - 27714 = -10*g. List the prime factors of g.\nAnswer: 2, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13270 = -2*v - b, 5*v - 8*b + 10*b - 33177 = 0. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 11 = -3*s, 3*s - 18 = -5*q + 5*s. Let z be (-1 - 1\/(-1))\/2. Suppose y - 5*j + 0*j + q = z, y - 2*j = 2. Is 3 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 6 = -2. Let s(w) = -2*w + 3. Suppose 26*u - 7 = 27*u. Let c(x) = -2*x + 3. Let d(m) = u*c(m) + 6*s(m). Give d(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(-2\/5))**0\/((n\/(n\/n**(5\/2)))\/n*n**3*n))**(-1) assuming n is positive.\nAnswer: n**(11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2*2\/10)\/((-33)\/(-15)*1).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 6440 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 66*i - i - 17*i - 15*i - 15*i to the form w + t*i and give t.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 61 or 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -23*s**3 - 4*s**3 - 64*s**4 + 61*s**4 + 8*s**4 - 48*s**3 + 48*s**3 + (0*s**2 + 5*s**2 - 4*s**2)*(s**2 - s**2 - s**2).\nAnswer: 4*s**4 - 27*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0056771 rounded to four decimal places?\nAnswer: -0.0057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2 + 59*h + 122.\nAnswer: -(h - 61)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1663 - -1086. List the prime factors of b.\nAnswer: 2749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -5480*z**2 - 2\/3*z**3 - 41141648000\/3 - 15015200*z = 0.\nAnswer: -2740","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, c: 3, w: 1, u: 2, r: 3, i: 1}. What is prob of sequence wiu?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 16 (b) 2 (c) -21 (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 2*d - 5. Let p be b(5). Suppose p*a + 3 = 108. Suppose x - 14 = -0*x. Calculate the greatest common factor of a and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 11, w: 1, u: 5}. What is prob of sequence uw?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) 0.3082 (c) -2\/3 (d) -0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 194 is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 532209?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1530 = 17*q - 2295 for q.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -16400.622 to 0 decimal places.\nAnswer: -16401","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1291504814 + -0.345.\nAnswer: -1291504814.345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33877, 33878, 33879, 33880?\nAnswer: 33881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/11, -0.3, 1, -646 in descending order.\nAnswer: 1, -2\/11, -0.3, -646","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 70715 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -72? (a) -6 (b) -1\/4 (c) -0.1 (d) 6 (e) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 817837 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/2630 and 113\/50?\nAnswer: 13150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 103 = -343. Suppose 4*l = 44 + w. What is the remainder when l is divided by (-78)\/(-10) - (-172)\/(-215)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 9*m - 5. Suppose 0 = 2*z - 5*w - 0*w - 13, 0 = -4*z - 5*w + 11. Is r(z) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m\/(m**(-2\/17)*m))\/m)\/((m*((m*m*(m**(-2\/29)*m)\/m)\/m)\/m)\/m)*(m\/m**(-10)*m)\/m*m**(2\/25))**(-2\/11))**(-23) assuming m is positive.\nAnswer: m**(5820656\/135575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -2*a + 35, 15 = -2*a + 11. What is the remainder when 71 is divided by k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 130569691*n**2 + 74278868*n wrt n.\nAnswer: 261139382","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -4, 1 = l - 2*k + k. Let m be (3\/l - 0)\/((-27)\/18). Solve q**2 + 0*q - 2*q**m + 2*q = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 220469 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 (base 13) in base 12?\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -11*r - 3. Let x(g) = 23*g + 8. What is 10*n(z) + 4*x(z)?\nAnswer: -18*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 12082, 12075, 12068, 12061, 12054?\n\"Answer: -7*y + 12089","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90*d**3 - 90831*d**2 + 21186*d + 3027 = 0. What is d?\nAnswer: -1\/10, 1\/3, 1009","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) 0.0196 (c) 5 (d) 30\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 453 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/18 - (-3)\/27.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 772 - 764. Find the common denominator of 53\/35 and i - (-6)\/((-108)\/171).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -65*c**3 - 9*c**2 - 9*c. Let a = -6994 + 7003. Let d(g) = -33*g**3 - 4*g**2 - 4*g. What is a*d(i) - 4*s(i)?\nAnswer: -37*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -48276104 divided by 4?\nAnswer: -12069026","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of 18\/5*y**5 + 5*y**3 + 0*y**4 + 0*y + 0*y**2 - 2. What is the third derivative of t(n) wrt n?\nAnswer: 432*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 577558.\nAnswer: 2, 17, 16987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 50210200*j**3*w + j**2 - 6*j + 4302433*w wrt j?\nAnswer: 301261200*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -23434 - 0?\nAnswer: -23434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*q - 136 = 10*q - 36 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4275 and 528609?\nAnswer: 753267825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 5, r: 2, q: 1, o: 1, k: 5, v: 1}. What is prob of sequence rkkk?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -2*a + 3*a. What is the closest to 0.3 in 2, a, -0.4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -166307*k + 0*k**4 - 18*k**2 + 166301*k - 2*k**3 - 2 - 2*k**4 - 13*k**2 to the form w*k**2 + c*k**4 + b*k + z*k**3 + i and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*j**2 + 7*j**2 - 15*j + 0*j**2)*(-1 + 2 + 1).\nAnswer: -4*j**2 - 30*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.134296674 take away 53.6?\nAnswer: -61.734296674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 87 - 50. Let b = s - -4. What is the common denominator of 22\/3 and b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = i - 42. Suppose 2*v + 5*f = -99, -2*v - 3*f - 97 = -0*f. Let t = 57 + v. What is the smallest common multiple of i and t?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 11 + 4 = 0. Calculate the remainder when 111 is divided by f - (-4)\/((-16)\/(-124)).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in 1, -3\/23, 0.5, -0.05, -19?\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1871934029?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 1, 5 in descending order.\nAnswer: 5, 1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes before 1:09 PM?\nAnswer: 7:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 549627 + -4?\nAnswer: 549623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 11783 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is (-54)\/(-4)*242\/33 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -866*l + s + 21 = -863*l, 47 = l - 3*s for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -0 + 4. Let r be (0\/s)\/3 + 7. Suppose -r*n + 6*n + 28 = 0. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/3*-1 - (-216 - -221)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 + 25. What is the greatest common factor of r and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/9 (b) 1\/3 (c) -11\/30 (d) -14\/11 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**2 - 3*o + 8. Give c(-10).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 23726 to the power of 1\/3, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 120573 a multiple of 79?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2104903 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -105*i**2*l**2 - 23*i**2*l + i**2 + i wrt l?\nAnswer: -210*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.8255994 + 2.8264. What is c rounded to three decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.45 + -0.4. Let g = -0.05 + m. Which is smaller: 6 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(-1\/2))**(-46))**(-2\/3) assuming n is positive.\nAnswer: n**46","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 143810408?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 167*g**2*v**3 + 2235*g**2*v**2 - g*v + 4*v**3 + 126295*v**2 + 4*v - 3 wrt g.\nAnswer: 334*g*v**3 + 4470*g*v**2 - v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -f**3 + 145662*f - 4033482 wrt f?\nAnswer: -3*f**2 + 145662","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**2 - 12*f + 5. What are the prime factors of z(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 - -1)\/(-2 - 45\/(-20)). Suppose -5*n = -5*r - k + 124, -4*n - 116 = -5*r. What is the greatest common divisor of 140 and r?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 2*v + 1. Let u be h(2). Suppose 36 = -u*r - 3*g, -7 = -5*g - 17. Let i = 36 + r. Round i to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110100 - -10101010011101111011?\nAnswer: 10101010011111101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 11, -0.5, 0.3, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1013815707?\nAnswer: 3, 5531, 61099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*u + 5*u. Let q be (-2 - -1)*(3 - 5 - 2). Is 35 a factor of 20\/2*(7 + u + q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - n - 4 + 0 - 6*n + 0 - 11 - 8*n + 11 + (1 - 4 + 2)*(n + 3*n - 5*n) in the form u*n + c and give u.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (7 - 9 - -3).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -54*d + 16 + 53*d - 7. Let p be l(4). Suppose -m + 4*o = -3, -2*m + 111 = 3*m + 4*o. Solve -4*b = -p*n - b + 13, 3*n - m = -b for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13292352 divided by -1692.\nAnswer: 7856","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-3\/2)*u**(-3\/5))**(-7))**40 assuming u is positive.\nAnswer: u**588","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, u: 2, d: 4}. Give prob of picking 1 j and 1 d.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 1 (b) -15 (c) 0.5 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {h: 4, l: 1, g: 6, c: 2}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + 0 + -11 + (14 - 22 - -22).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 10*o - 12. Let h = -537 - -538. What is the closest to h in 4.7, o, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17 - -18. Suppose -i + 2 = -r, -5*n = -3*i - 316. Does 13 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -2*y**3\/5 + 226*y**2\/5 - 6496*y\/5 + 6272\/5 = 0.\nAnswer: 1, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 43*b**2 + 29 + b**3 - 59 - 42*b**2 + 30 - 3103*b to the form w*b**3 + a*b + c*b**2 + i and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*j + j**4 - 5961*j**3 + 11930*j**3 + 3 - 5969*j**3 - 4 - 42*j**2 as l*j**4 + k*j**3 + s*j + m + h*j**2 and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -843, -827, -807, -789, -779, -783, -807, -857?\nAnswer: -939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 582047 is divided by 545.\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g + 17. Calculate the remainder when a(-12) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.01 - -8.01. Let d be 6\/52*((-16)\/3)\/(-4). What is the biggest value in 4, s, d?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**2 - 12*k + 15. Let q be w(11). Suppose -4*d - q = 3*x - 7*x, -x = -3. What is r in -2 + 16*r + 3 - 1 - 32*r**d - 2 = 0?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 5 + 3 + -11 + (36 - 0).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 + 7*s**2 - 32*s - 15. Let l be x(-10). What is the third derivative of -29*n + 205*n**5 - 2*n**4 + n**2 - 5*n**4 + 201*n**l - 405*n**5 wrt n?\nAnswer: 60*n**2 - 168*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 5*x = -46, 2*q + 36*x = 37*x - 16 for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -32*d + 35*d - 12. Solve 36*y - 14 = 33*y - 5*x, -d*y - 2*x = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**15*v)\/(v\/v**14) assuming v is positive.\nAnswer: v**30","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the first derivative of -5*k**2\/2 - 10*k + 605. What is i(-4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88)*6)\/sqrt(11) + 5.\nAnswer: 5 + 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (0 + 12) - -7 - (-80 - -43).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 20 - 38. Let u = -6 - a. Is ((-148)\/u)\/((-1)\/3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5511, 10330, 15149, 19968, 24787, 29606?\nAnswer: 34425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the first derivative of -5*a**2 + a - 1. Let w(c) = -c**2 - 3*c. Let p be w(-3). Suppose -3*l + 3 = -p. Determine h(l).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 0)*(-3 - t**2 + 3) + (3 - 3 + 2*t)*(-5*t - 2*t + 4*t) + t**2 - 3*t**2 + 3*t**2.\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/3 - 4\/(-6). Let n = p + 1. Suppose -n*z = -6*z + 15. What is the smallest common multiple of 5 and z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 3*v - 2495 = 0, -n - 3*n + v + 1989 = 0. Let m be n\/12*6*-1. What is the units digit of (-44)\/33 + m\/(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/4 or -0.0441?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes after 1:20 AM?\nAnswer: 11:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 - 32*w**2 - 26*w + 186. What is k(-31)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*c - 2624 = -61*c - 24*c for c.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 161348311 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6.7 + -10.9. Let l = -17.5 - j. What is the closest to -0.4 in -1\/10, l, 1\/3?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 + 6*b**2 + 19*b + 12. Let x be l(9). Let t = 94 + x. What is the highest common factor of 136 and t?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - f - 11 = -16, -4*h - 4*f = 20 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kzkkkkzz. Give prob of sequence zz.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**2 + 216*g - 1789. Let v be d(8). Solve -y + 7 - 18 = 4*f, 15 = v*y for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the first derivative of 0*d - 1\/8*d**4 + 1\/6*d**3 + 0*d**2 + 5. Determine j, given that s(j) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**21\/(h\/(h**(4\/7)*h)) assuming h is positive.\nAnswer: h**(151\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 135888680?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136 - 46 = 18*y. Which is the nearest to 1? (a) y (b) -2\/13 (c) -3\/5 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 114 = 3*b, -3*b + 188 = -0*c + 5*c. Sort 3, 0, 4, c in descending order.\nAnswer: c, 4, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1107523 from 2.2757456.\nAnswer: 1107525.2757456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.05? (a) 5 (b) 1\/3 (c) 61 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2*(-4)\/(-20)*580\/16)\/((-90)\/180)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t**2 + 0 + 0)*(-2*t**2 + 413 + 114*t - 208 - 203).\nAnswer: 2*t**4 - 114*t**3 - 2*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1\/2, -272, -1\/3, 0?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8364.89 millennia to months.\nAnswer: 100378680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**2 - 8*p + 15. Let f be h(-8). Let d be 20\/f*-15*18\/(-4). What is d rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 10*a. Let s be (-8)\/6 - 208\/(-39). Suppose p - s = -n, 0 = -4*n + 8*n - p - 16. Let q(r) = n*r - 4*r - r. Determine c(q(z)).\nAnswer: -10*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 110954 take away -0.1?\nAnswer: 110954.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/5))**(-29)\/(k*k**(-2))**45 assuming k is positive.\nAnswer: k**(167\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes after 9:18 AM?\nAnswer: 9:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 - 0 - -2)\/1. Suppose 0 = -a*i + 2*i - 6. Suppose 6 = -i*j + j. Is j != -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 4 + 6 - 1 + 2*r as i + p*r and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 248743114 by 2.\nAnswer: 124371557","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -53*c - 140. Let u be l(-8). Is u bigger than 284?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -15325000 to the nearest 100000.\nAnswer: -15300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7330)\/(-1466)*3\/27)\/((1150\/(-12))\/5).\nAnswer: -2\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 13 = 3*s, 2*s = -l - l + 8 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1084, 1862, 2630, 3382, 4112, 4814, 5482, 6110?\nAnswer: 6692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, -4839\/127, -4, -2\/19 in descending order.\nAnswer: 2\/9, -2\/19, -4, -4839\/127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 200*t + 8008. Calculate p(-40).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1992 - -9403. Does 19 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 83\/(-7) + 64\/4032*-9?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = 26*b - 13*b + 19 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4784 + -4742. Are 203\/5 and m non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-31738)\/126952*(-2)\/(1\/(1\/3))*-12?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5\/123 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -31*d**3 - 6*d**2 + 97*d - 94. What is v(1)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:24 PM and 6:14 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4930, -9876, -14822, -19768?\nAnswer: -24714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1251, 2503, 3779, 5079?\n\"Answer: 12*p**2 + 1216*p + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -213275\/8, 1, -2\/9 in descending order.\nAnswer: 1, -2\/9, -213275\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17798905 and 11605?\nAnswer: 1055","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/15 + (-7)\/(-15)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -196223715 by 6766335.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + 55 + 33. Let w be 66\/d + (1*-1 - 132). Is 1 + (0 - w) - 4 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1257335 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, e: 3, g: 2, y: 2, f: 1, z: 1}. What is prob of sequence ffy?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 15, 0.2, 2, -0.4?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -11*v - 30. Calculate o(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 709900?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 177013.\nAnswer: 177013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxxxxxmmhhhhx. Give prob of sequence xxhh.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*1*sqrt(72) + (sqrt(72) - (3 + sqrt(72)*1)**2).\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -24, -63, -112, -171, -240, -319, -408?\n\"Answer: -5*f**2 - 24*f + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 - 0 - (-2 + -1). Suppose j*i - 4*a = -2 - 12, 5*i + 2*a = -83. Let f = 20 + i. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15249960*a**2*m**2 + a**2*m - 236*a*m**2 + 15*a*m - 1310*m wrt a.\nAnswer: -30499920*m**2 + 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 60.76 to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 3 (c) 0.63 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 81\/10 and (125\/(-4) + -1)*4\/6.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39684.\nAnswer: 2, 3, 3307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 2*c - 6. Let q(r) = -r**3 + 8*r**2 - 7*r + 4. Let u be q(7). Calculate g(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -93 + 35*u**3 + 93.\nAnswer: 35*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 AM and 1:00 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 + 7.8. Let s = 0.1 + k. Put s, 4, 1\/4 in descending order.\nAnswer: 4, 1\/4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 28826478 and 7992?\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 46*g - 66*g + 2800. What is the greatest common factor of g and 500?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73 times 2720?\nAnswer: 198560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 3*t - 846 = 0, t + 578 = 2*y + 6*t. What is the tens digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -438*n**2*x + 26496175*n**2 - 4093*x**2 with respect to x.\nAnswer: -438*n**2 - 8186*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, 64.\nAnswer: -2, 3, 64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 45, 37, -79, -0.4, -3 in ascending order.\nAnswer: -79, -3, -0.4, 37, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * 85.\nAnswer: -425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 215147?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*y - l + 1, -2*l = -4*y + 14. Suppose -3*u + y = -2*u, -3*b + 3*u + 177 = 0. What is the highest common divisor of 12 and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 30*k**2 - 33*k - 157. Is b(-28) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40293537 to the power of 1\/2, to the nearest integer?\nAnswer: 6348","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**2 - 172*a + 7423. What is l(87)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -l**5\/2 - 4787*l**4\/4 - 15531*l**3\/2 - 74029*l**2\/4 - 19099*l - 7161 = 0.\nAnswer: -2387, -2, -3\/2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 6 (b) -25 (c) -4\/3 (d) -9 (e) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -29*v + 235. Let w be q(8). Solve -w*l + 3 = 3*g, 8*g - 2*l = 3*g - 9 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 296920 and 1060?\nAnswer: 15736760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 228*y**3 + 47346*y**2 + 2*y - 49149365 wrt y?\nAnswer: 684*y**2 + 94692*y + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-3 + sqrt(30)\/(sqrt(36)\/sqrt(6))).\nAnswer: -2*sqrt(5) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 - (0\/(-1) + -2). Find the second derivative of 10*j + 42*j**3 + 3*j + d*j + 9*j wrt j.\nAnswer: 252*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -114 + (67 - 84) + (24 - -1).\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10*f*h*j*r - 18*f*h*j + f*h*r + f*j**2*r - 12942*f*j**2 - f*r + 672*f + 41*h*j**2 - h*j*r wrt j?\nAnswer: 2*f*r - 25884*f + 82*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -r + 25, 4*r + 241*k - 243*k = 28. Which is the nearest to -0.16? (a) r (b) -0.2 (c) -2\/15 (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 62.068 - 0.068. Let z = 120 - o. Let l = -58.41 + z. What is l rounded to one dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002212901 to five dps.\nAnswer: 0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 903?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 2*v**3 - 9*v**2 + 2*v + 20. Is 12 a factor of q(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54643 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 5*o - 41. Let h = -1545 - -1554. Calculate c(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14489 - -14528. Solve -50*w + r*w - 55 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1838\/5 - -368. Sort w, -4\/3, -1\/13.\nAnswer: -4\/3, -1\/13, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times -2675.21\nAnswer: 267.521","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 4\/57, -4\/93, 5, -0.4, -0.3?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 321984?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k - 5. Let l(n) = -2*n - 6. Let g be l(-3). Suppose 3*q - 21 = -3*p, 0 = -g*p - 3*p - q + 15. What is t(p)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + 4*u. Suppose 2*g + 0*g - 134 = u. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 63 (base 10) to base 8\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 7) to base 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66 is divided by 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + i + 60. Let n = 47 + -23. Let w = n + i. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -42, -33, -18, 3, 30?\n\"Answer: 3*p**2 - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/4)\/(3\/(-30)). Let o(k) = k**3 + 5*k**2 + k + 6. Let g be o(-5). Solve 14 - 33 = -l*r - s, g = r + 3*s for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a hour in minutes?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 - a + 4. Give h(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 + i. Let o(k) = -13*k**3 - 3*k**2 + k + 2. Give -a(c) + o(c).\nAnswer: -12*c**3 - 3*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3138?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*b + 188 = -30*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 182844?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 814 divide 3718352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 2570528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -208, -42, 826, 2726, 5988, 10942?\n\"Answer: 55*v**3 + 21*v**2 - 282*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 1 - -13) + (1 - -8 - (-48 + 67))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wyywwywoywywwoyuuy. What is prob of sequence wwoo?\nAnswer: 7\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = 15, 0 = 7*c - 3*c + 5*b - 113. Is 12 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1\/5))**(-1\/2)*(((q*q\/q**8)\/q)\/q)**13 assuming q is positive.\nAnswer: q**(-1039\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118 is divided by 65.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.75 - 2.25. Let y = 1 + -1.2. Let q = y - 0. What is the second biggest value in q, w, 1\/3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*c - 11*c - 80. What is c rounded to the nearest ten?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 5*v - 168 = 0. Let j = v - -37. Solve -4*k = 5*o - 20, 4*k = 3*o - 3 - j for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**2 - 3*v + 2. Let p be m(3). Suppose 2*c - 2*n = -4, 3*c - 21 = -3*n - 3. Let u be ((-1)\/c)\/(p + -1). Is u <= 0.11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 * -0.042\nAnswer: 0.084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 - 3*c**2 - c - 2. Let s be r(-4). Let h be 12376\/36 - (-4)\/s. Let x = h - 134. What are the prime factors of x?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/11257 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((16\/(-20))\/(4218\/95))\/(1\/(-3))?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 11 and 184334.\nAnswer: 184345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3 + 5527*c**2 - c - 5527.\nAnswer: (c - 1)*(c + 1)*(c + 5527)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 22 = 101. What are the prime factors of q?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-4)*(-130)\/(-260).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 - (3 - 3\/1). Suppose l + 25 = v*l - 5*h, -5*l + 4*h = -167. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -65*g**3 - 17*g**2 - 10*g - 5. Let p(f) = 65*f**3 + 15*f**2 + 8*f + 4. Calculate -5*p(y) - 4*z(y).\nAnswer: -65*y**3 - 7*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -15 (b) 29216 (c) -2\/11 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 2*x**4 + 0 + (-2*x - 2*x + 3*x)*(673*x**2 - 200*x**2 + 286*x**2 - 3*x**3 - 2*x) to f*x + p*x**4 + d*x**3 + u*x**2 + c and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4873176 by -21096.\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2401095 to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -396133.4 rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, 0.3, 30, 11, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 72*z - z**2 - 84*z + 65*z + (-z + 4 - 4)*(-5*z - z + 4*z) + 2 - z**2 - 2 + 5*z**2 - 2*z**2 - z**2 - 2*z**2 - 3*z**2 - z**2.\nAnswer: -4*z**2 + 53*z + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 47 - (-1 - -4)\/(-3). Suppose -5*k + z = -k. Suppose -k = -2*m - 2*w - 4, 4*w = -m + 7. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - u + 88 = 0, -f - 4*f + 220 = -3*u. Let a be (-6)\/33 - 168\/f. Is 20 a factor of a + 17*(8 + -3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 3*a - 15. Let u(g) = -3*g**2. Let m(p) be the first derivative of p**3\/3 + 17. Let z(c) = -2*m(c) - u(c). What is o(z(w))?\nAnswer: 3*w**2 - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 56320000 rounded to the nearest one million?\nAnswer: 56000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 808 - 1021.6. Round n to the nearest 10.\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 55374673?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 259585 = 3*k + 6*q - 2*q, 2*q = 4*k - 346062. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 715\/2 - 378. Let q = 10\/567 + 25853\/2268. Calculate the common denominator of b and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 39.6 and 0.\nAnswer: 39.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-7)*k**(-5)\/k)**(9\/5)\/((k**(1\/4))**16)**(-11) assuming k is positive.\nAnswer: k**(103\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 150 = -0*z. What is the units digit of -3*(z\/3)\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 4*g + g. Suppose -2*r = 2, 5*r = g*i - 3*i - 15. Solve -3*b = -i*m - 12, -b - 3*b - 1 = -m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 432533?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1429a9 - -17?\nAnswer: -142992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*r**2 + 443944*r + 345630 wrt r.\nAnswer: 4*r + 443944","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4305671 is divided by 107?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 9*m**2 - 11. Suppose 3*s = 5 - 20. Let y(b) = -13*b**2 + 16. Let f(g) = s*y(g) - 7*u(g). What is the first derivative of f(n) wrt n?\nAnswer: 4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -8*p**2 - 31*p + 4. Let z be y(-4). Let q = 30\/23 + 2\/69. Is q at most as big as z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -326206, -326196, -326174, -326134, -326070, -325976, -325846?\nAnswer: -325674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**2 + 4*o - 4. Let v be c(2). Suppose v*w - 2*w + 4 = 0. Suppose 0*b + 5*f - 232 = -w*b, -b + 4*f = -90. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a = -f - 0*f + 6*a + 56, -5460*f + 62 = -5462*f - 2*a for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -407.6 + 407.4. Which is the nearest to q? (a) 20 (b) -0.4 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 882 a factor of 223366855?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48365 - 19581 = 14*b. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -106 + 152. Is 23 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*g + 65086 = -6674. Calculate the smallest common multiple of 20 and g.\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the third derivative of 0*z**5 + 1\/120*z**4 + 0 - 1\/600*z**6 + 2*z**2 + 0*z + 0*z**3. Let f(q) = 0. Calculate q.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-60)\/210)\/((-20)\/(-28)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 5*u**3 + 5*u**2 + 10*u + 20. Let s(y) = 4*y**3 + 6*y**2 + 11*y + 20. Let v(k) = -5*p(k) + 6*s(k). What is the units digit of v(12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1866\/150305 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j + 10 = -2*j. Let h be ((-6)\/(-9))\/((-4)\/6). Calculate the lowest common multiple of 2 - (2 - (-3)\/h) and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes after 1:34 AM?\nAnswer: 8:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 604 and 819326?\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/9 + 22\/(-18). Suppose -17*y - 1685 = -4*g - 12*y, -1715 = -4*g - 5*y. Let m = g - 427. Put m, 4, k, 3 in descending order.\nAnswer: 4, 3, k, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 702.8 - 37.4. Let u = 37.4 - n. Let g = -627.99999713 - u. What is g rounded to 7 decimal places?\nAnswer: 0.0000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6132, -15568, -25004?\nAnswer: -34440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1677? (a) 2 (b) 1 (c) -1 (d) -2\/11 (e) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of k**5 + 96*k**2 - 158*k wrt k.\nAnswer: 20*k**3 + 192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2431552 (base 6) to base 14.\nAnswer: 34cb2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k. Let h(s) = -2*s - 1157*s**2 + 2*s + 1129*s**2. Calculate h(c(l)).\nAnswer: -28*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2219\/(-5) + 36\/45. Let d = 132 - i. What is the hundreds digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 106*h**4 + 205*h**2*u**3 + 16*h*u**3 + 649 wrt h?\nAnswer: 1272*h**2 + 410*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1686694.\nAnswer: 2, 843347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 47 (base 8) in base 6?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19126 is divided by 44?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-13)\/(-3) + 1\/(-3). Suppose 21 = 3*p - 3*f, 0*p - 4*p + 3*f + 25 = 0. Solve q*x + n = p, -4*x + 4*n = -x - 3 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*n**3*z**2 - 47*n**3*z + 2*n**2*z**2 + 2327*n - 4*z**2 wrt n?\nAnswer: 48*n*z**2 - 282*n*z + 4*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1672 + -940. Suppose -n - 733 = -5*k. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -474, -1916, -4320, -7686?\n\"Answer: -481*r**2 + r + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 759200 rounded to the nearest one hundred thousand?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 104440\/18 + 8\/(-36). Suppose 2*a - 4*a + w = 0. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -2 + 3 + -11\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:17 PM and 11:21 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:25 AM and 9:16 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9278 = 4*b - 1830. Suppose 5*z = 25, 2*w - 53*z + 4851 = -58*z. Let j = b + w. Round j to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 242*f + 3*f**2 + 245*f - 43*f**2 - 104*f.\nAnswer: -40*f**2 + 383*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4260427.\nAnswer: 19, 224233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 125246602.\nAnswer: 2, 13, 4817177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 + -2. Suppose -m = i*t - 330, 7*m = 3*m - 3*t + 1235. What are the prime factors of m?\nAnswer: 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*u**3 + 4*u**2 - 4*u**2 + 4*u**3 - 14*u**3.\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 5*n + 8 = -o, -5*n = 10. Suppose -120 = -4*g - o*g. Suppose 139 = 4*h - 97. Calculate the remainder when h is divided by g.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 345 in -89, -10\/7, 4, -0.5, -2\/9?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (2*(-1)\/15)\/(12\/18)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - -9. Let i(y) = y. Let m(o) = o**2 - 6*o + 24. Let q(g) = 5*i(g) + m(g). Let c be q(0). Calculate the greatest common factor of c and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 7\/5, -0.5, 0.2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -25 + -378 + 379\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 + 7*m**2 + 4. Let d be f(7). Put -7, 1, d in ascending order.\nAnswer: -7, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -4*h - 67 - 9, 8 = 2*c. Is ((-2344)\/20)\/(6\/h) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/13)*g*g**(7\/3))\/(g*g**3)**17 assuming g is positive.\nAnswer: g**(-2516\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 3\/2 (b) 14 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**2 + 1. Let x(q) = -3*q**2 - 9*q - 4. Let f(v) = 4*i(v) + x(v). Let l(b) = 4*b + 4*b**2 - 14 + b + 14. Determine 6*f(n) + 11*l(n).\nAnswer: 2*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/5, 21\/4, 7.3, 2\/3, 16 in descending order.\nAnswer: 16, 7.3, 21\/4, 2\/3, -6\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22043*d - 11018*d - 11022*d.\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -773657 (base 12) to base 9.\nAnswer: -3504744","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/3 - (-6)\/(-18). Let c(j) = j**3 - 8*j**2 + 8*j - 3. Let y be c(7). Suppose i = 2*a - y*a + 18. What is the remainder when a is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 5988.\nAnswer: 11976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 0*b - 2*b + 10 + 12. Is 10 a factor of w(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/13933044 and 137\/222.\nAnswer: 515522628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 566883107 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1131 - 1213.3. Let t = -82 - o. Which is the second biggest value? (a) -3 (b) t (c) 2 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4*(-1)\/2*4. Suppose 3*i = f + 3 + h, -12 = -2*i - 4*f. Solve 5*x + i*m = -19, -x - 7 = 3*x - 5*m for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5\/3686 - 7387\/11058. Which is the third biggest value? (a) 0 (b) -3 (c) -0.2 (d) x (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 189864 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 491.0156 millilitres in litres?\nAnswer: 0.4910156","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1203 - -1204. Put j, 2, 4, 5, -2 in decreasing order.\nAnswer: 5, 4, 2, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(-15)*-4)\/((-20)\/(-6))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 3*w - 16, 5*w - 12 = -3*b + 8. Suppose 5*g = w*g + 4. Let j be 12\/8*g\/(-3). Sort -4, -2, j in ascending order.\nAnswer: -4, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (64\/(-12) - -6) + (-4)\/(-6)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -13*l**2 - 153*l + 52. Determine n(-12).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 31728119 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 177342.9 to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -37092188, -74184427, -111276664, -148368899, -185461132?\nAnswer: -222553363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 31702 and 242?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the first derivative of -14*z**4 + z**3\/3 + z**2\/2 - 16. Does 8 divide f(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70430927?\nAnswer: 7, 10061561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-8)\/(-6))\/((-1)\/3). Let v be (-14)\/(-8) - 1\/a. Let i be (-2 - -4 - v)\/(-2). Solve -g - 3 = -3*l, i = 5*l - 3*l - g - 2 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 2*x**2 - 3. Let g be z(-4). Let s(b) = -3 + 8*b - g*b + 13*b - b**2. What is s(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/((f**(1\/32)*f)\/f))\/(f*f*f\/(f**(-6)\/f)))\/(((f*((f\/f**15)\/f*f)\/f*f)\/f)\/f*f**(-1)*f*f) assuming f is positive.\nAnswer: f**(159\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**2 - 12*u - 7. Give p(12).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 2*f. Let y be k(0). Let n(o) = -5*o**3 + y*o**2 + 4*o**3 + 7 + 0*o**2 - 5*o**2 + o. What is n(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.03 and 8938250.\nAnswer: 268147.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*o**3 - 628*o + 4 + 8*o**2 - 638*o + 1267*o - 3*o**3 in the form j*o**2 + t + k*o**3 + h*o and give k.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 59, 227, 507, 899, 1403, 2019, 2747?\nAnswer: 3587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 50439000 to the power of 1\/2, to the nearest integer?\nAnswer: 7102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 307 + -285. What is the least common multiple of o and 66?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(2 + sqrt(2448) + 0 + 2*(sqrt(2448) + 1) + -2))**2.\nAnswer: 2304*sqrt(17) + 352576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4332*c - 4336*c + 20 = -h, 0 = -3*h - c - 8 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 PM and 10:22 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (5 - -4 - 1) + -3. Let w = s + 15. Suppose 2*a - w = 7*a, -i + 231 = a. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4659?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:04 AM and 12:28 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24161 is divided by 4595?\nAnswer: 1186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 0 = 9. What is the remainder when 33 is divided by k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/(v\/(v*v**8*v))*v**7*(v*v**(-1))\/v**(2\/9) assuming v is positive.\nAnswer: v**(151\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/6)\/(1\/3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 906501709?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 9099 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: Solve 16 + 2 = 6*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c*c**(2\/19)*c)\/c)**36*(c**(-2\/5)*c)**(6\/5))**31 assuming c is positive.\nAnswer: c**(1126602\/475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*t + 14*t + 18 = 0. Solve 0 = t*w - d + 3 - 5, 0 = -4*w - 2*d - 4 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00428595643 to three decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -2*y**3 + 2*y**2 - 2*y. Let t(c) = c**2 + c. Calculate -4*i(b) + 8*t(b).\nAnswer: 8*b**3 + 16*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 60\/(-9) - 1\/3. Let f be (d - (-3 - -1))\/(-1). Let i(w) = 1 - 3*w + 2*w + 0. What is i(f)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1012102 (base 3) to base 5\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 + (3 - 3) - -45. Suppose -d = 39 - 62. Calculate the greatest common factor of d and x.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(-6) + (1651860\/567)\/230?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -16912 (base 10) to base 12\nAnswer: -9954","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = i + i - 32, i + 2 = 0. Solve -h = -3*z - 0*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes before 3:30 AM?\nAnswer: 3:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 + (-2)\/(-2 - 0). Let x(y) = -23*y - 87. Let b be x(-6). Let k = 50 - b. Which is smaller: k or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(3\/5))\/q**(2\/3))**(-16) assuming q is positive.\nAnswer: q**(64\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 at least as big as 112\/31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-42)\/315*10\/(-12)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -33*z - 81*z - 158*z + (2 - 2 - 1)*(3 - 2*z - 3) to l + b*z and give b.\nAnswer: -270","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -199, -205, -211?\n\"Answer: -6*c - 193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 35 - 20. Suppose 5*f - k = -3*l, -3*l + 2*l - 3 = -f. Solve -f*z + 0*z = 9 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-9 - 10 + 4)*(-x + 2*x - 3*x) + 10*x + 19*x - 17*x)*(2*x - 4*x + x).\nAnswer: -42*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:49 PM and 9:52 PM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 581.275 millimeters to meters.\nAnswer: 0.581275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h - 15, 6 - 2 = 5*x + 2*h. Let b(y) = 2*y**2 - 8*y - 21. Let w be b(-5). Suppose x*q = -21 + w. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 - 6*b**2 + b + 3. Let s be j(-6). Let w = -1 - s. Is 2 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*k = 5*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -12, 4, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 243.6*-0.1.\nAnswer: -24.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3908598708.\nAnswer: 2, 3, 7, 181, 257077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 27 + -27. Solve -2*y = -t*y + 4 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 14*1*6\/7. Suppose 0 = 4*j - s, 3*l + 11 = -5*j + 74. Is l a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 423714172?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.79 - 1.54. What is d rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.2 - 1.7. Let k(r) = -r + r**3 + 3*r + 2*r**2 - 2*r - r. Let x be k(1). What is the second smallest value in -3\/5, x, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 2*l - 3)*(-3*l + 5*l - 4*l)*(-249 + 249 - 75*l) in the form o*l**3 + t*l**2 + u*l + v and give o.\nAnswer: -300","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/12)\/(2\/12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do 1506\/253 and 2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 17806100 rounded to the nearest 1000000?\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 75\/77 smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lpuuggggh. Give prob of picking 1 h and 3 g.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 40152071 (base 8) to base 2\nAnswer: 100000001101010000111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - 172 + 880. Let n = -147 - h. Let w = n - 52. List the prime factors of w.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 132437275 divided by -1\nAnswer: -132437275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -2 + sqrt(1584) + 0 + 5 + (sqrt(1584) + 1 - sqrt(1584)) + sqrt(1584) + sqrt(1584)*-2*-5 + (1*sqrt(1584) + -1 - sqrt(1584)).\nAnswer: 4 + 144*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 5*c - 12 = -0*w, -2*w = 5*c - 24. Suppose 37 = b + w. Suppose 0 = q - b - 9. Does 17 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 271 = -5*t + g, 0 = 2*t + 4*g - 114. Suppose 3*b - 50 = -2*q, -q + 3*q + 58 = 3*b. What is the remainder when t is divided by b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -178*n - 230. Give h(-4).\nAnswer: 482","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -11 and -444.407.\nAnswer: 4888.477","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-22) - 171\/33.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 2*v. Let z(h) be the second derivative of 9*h**4 + 2*h - 99. Determine z(r(t)).\nAnswer: 432*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -168*r**3 + 85*r**3 + 82*r**3.\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 47 + -46.53. Let w = 0.01 - r. Let c = w + 0.16. What is the smallest value in c, -4, -4\/9?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -301 = -y + 496. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 130245*w + 130301*w + 130250*w - 521106*w + 130277*w.\nAnswer: -33*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8\/39 - -6\/13. Let k = -121.734 + -0.266. Let t = -121.9 - k. Which is the third smallest value? (a) 0.04 (b) -2 (c) y (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14022 and 3075.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 15365059?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -2*h**2 - 2*h + 2. Let n(s) = -7*s**3 - 13*s**2 - 21*s + 3. Calculate n(u) - 6*t(u).\nAnswer: -7*u**3 - u**2 - 9*u - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 10*f. Calculate t(-2).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 421*q - 2. Suppose 3*m = 2*j + 4, 16 = 5*j + m - 2*m. Suppose n = 3*l + 2 + 1, -j*l = 2*n - 6. Is x(n) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1468797?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 5*z - 4*v + 5, v - 4 = 0. Let k = -3 - z. What is the second smallest value in 3, k, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -35 + 50. Let g = -1659 - -1944. What is the highest common divisor of j and g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3583\/45 - -397\/5. What is the fourth smallest value in -8\/13, 0.3, w, 5, -0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z - 1. Let q(i) = -i**2 - 5. Let l(o) = -q(o) + 4*u(o). Let n be l(4). Which is the third smallest value? (a) n (b) 5 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -721, -719, -717, -715?\nAnswer: -713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51701*w**2 + 103302*w**2 - 51590*w**2.\nAnswer: 11*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**2 - 9*z + 7. Let q be o(-8). Let a be (-1*1)\/(q\/(-30)). Factor 2*w**2 + 4*w**2 + 4*w**a + 2*w**5 - 4*w - 6*w**3 - 2*w**4.\nAnswer: 2*w*(w - 1)**3*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 76*n**2 - 12*n - 32. Let r(p) = 7*p**2 - p - 3. Let v(h) = -32*r(h) + 3*z(h). Find c, given that v(c) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 29*g - 7 - 5*g - 5*g - 5. Let w(l) = l + 4. Let c be w(6). Is u(c) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f**17*(f**(-2\/9)*f)\/f assuming f is positive.\nAnswer: f**(160\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**2 + 29*y + 184. Let z(w) = w**2 + w + 46. Let k(p) = -c(p) + 4*z(p). Let u(a) = 2*a**2 - 13*a. Determine 4*k(q) - 7*u(q).\nAnswer: -2*q**2 - 9*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of 3*b**2\/2 - 6*b - 1. Let p be a(4). Suppose 12*d = -12*d + 120. Solve -p + 1 = d*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.08 (b) 838 (c) -0.1 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 21*n**3 + 3*n**2 - 4*n - 1. Is 19 a factor of o(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 899 + 98. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 3*w - 15. Let d be p(6). Let r be (90\/25 - 6\/10)\/d. Let j be ((-3)\/3)\/((-2)\/6). Solve 19 = -0*x + x + 3*z, 0 = 4*x - j*z - r for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -2*v**3 - 2*v**2 + 2*v + 1. Is u(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 - 4\/(-4)*1. Let g(o) = o**3 + 4*o**2 + 5*o + 3. Suppose -3*y = 4*r + 9, -5*r + 19 - 4 = -5*y. Let c be g(y). Put l, c, -1 in descending order.\nAnswer: l, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1528.10287 rounded to zero decimal places?\nAnswer: 1528","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:26 AM and 7:11 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (47 + 3 - -1) - (-218 + -156 + 360)?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 850 divide 4969564?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 913, 914, 915?\nAnswer: 916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5032423063 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:23 PM and 12:09 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x - 2*x + 3*x)*(0 - 3 + 0)*(-1 + 3 - 4) + (0 + 0 - 2*x)*(-1 + 1 + 1).\nAnswer: 10*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3314*f**2*h**2 - 502*f**2*h - 15*f*h - 596*h**3 + 5 wrt h?\nAnswer: -6628*f**2 - 3576*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -341 greater than or equal to -336?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(1216) + (0 + sqrt(1216))**2 + sqrt(1216) + -4.\nAnswer: 16*sqrt(19) + 1209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of -7*c**4\/4 + 11*c + 12. What is the derivative of m(p) wrt p?\nAnswer: -21*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5\/4? (a) -270 (b) 5 (c) 1 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 333388 is divided by 6405.\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3b33 + 2?\nAnswer: -3b31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -67 * -0.8\nAnswer: 53.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4 - (2 - (-140)\/(-21)). Which is the closest to -0.1? (a) f (b) 4 (c) 0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert f7 (base 16) to base 6.\nAnswer: 1051","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 165119729 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -48.924 - 0.076. Let l = -57.8 - t. What is l rounded to zero decimal places?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7038 + 7044. Solve -l - 9 = 5*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -204028, -203947, -203866, -203785, -203704?\n\"Answer: 81*t - 204109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c + 3*c + 13*c)*(0 + 0 - 2*c**4) + (-2*c**3 + 4 - 4)*(-c**2 + 4 - 4) + 3*c**5 - 4*c**5 + 3*c**5.\nAnswer: -24*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -1\/2 (b) -0.1 (c) 1.4 (d) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6936 + 11616 = -156*n for n.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*f + 12*f + 7*f to c*f + r and give c.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - 1. Does 20 divide y\/(3\/66) - 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/3, 2292, 2\/135?\nAnswer: 2\/135","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -44 - 2*g**2 + 44 - 5*g**3 + (3*g**2 - 5*g**2 + 4*g**2)*(2 - 2 - 2*g) + (3*g + 0*g + 0*g)*(6*g**2 - 3*g**2 - g**2).\nAnswer: -3*g**3 - 2*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 564020 to the nearest integer?\nAnswer: 751","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -752 divided by 4\nAnswer: -188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3810 - -22192. What is the tens digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2, -1\/11, -5, -13?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 178103 or 178104?\nAnswer: 178104","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 526*l**2*x**2 + 398*l**2 wrt x?\nAnswer: 1052*l**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 6, l = -4*w - 4 + 18. Suppose -5*b + w*b + 4 = 0. Suppose 0 = 4*s + b*s - 396. Does 22 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 8, -5\/2, 5\/14, -4?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 - -312192.\nAnswer: 312192.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.1 - 1.05. Let f = -0.05 - t. Let p = 16.06 - 16.7. Is f smaller than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*k - k. Sort k, 4, 0.\nAnswer: 0, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3285201866?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5476200.\nAnswer: 2, 3, 5, 9127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1712617 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 37337 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 491*i*s**2 - 393*i*s - 11*i - 3837*s**2 + 12*s - 49 with respect to i.\nAnswer: 491*s**2 - 393*s - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 75029 - 22028. Suppose -p = -n + w, 0 = p - 3*p + 5*n - 106005. Round p to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15 - -14. Calculate the common denominator of 89\/4 and (d - -44)*6\/(-54).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 2) + 7 + (-15 - -20) - (40 + -14)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiciiiiicciccivicici. What is prob of sequence cc?\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/27 + (-2)\/9. Suppose -3*w + 1 + 8 = f. Let r = 1\/74 + -153\/370. What is the biggest value in w, 0.2, r?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 7865, -2\/15, 0?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*w - 12 = -29*w. Let t(g) = -2*g + 8. Let r be t(6). Let z be 0 - (r - -3)*w*1. Solve -z*u + 6 = -u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4597 and -0.7?\nAnswer: 4597.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -77*x + 2. Let t be y(-1). Let g = 121 - t. Is g a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5537.77 * 2768\nAnswer: 15328547.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -50*c + 22*c + 112 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 185 at most -27\/56?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 84\/(-28)*(-4)\/3. Suppose o - 117*b = -120*b + 34, c*o - 118 = -3*b. Calculate the remainder when o is divided by (0 + -1)*1*-11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**2 + 32*i + 127. Calculate d(-4).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*t**2 + 26263 - 26263 - 217*t**3)*(-3 + 3 - 3)*(5 - 5 + 2*t) to the form j*t**2 + u*t + v + g*t**3 + h*t**4 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 86179.2 times 0.4\nAnswer: 34471.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 7:52 PM?\nAnswer: 7:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 221423 to the power of 1\/3, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 975 to the power of 1\/2, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 392\/(-8)*(3 - 7). Suppose -4*y + 5*d = -140, 12*y = 17*y - d - v. Let k = 31 - 19. Calculate the lowest common multiple of k and y.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2 (b) -5 (c) -0.2 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 48479?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are -217399 and 35 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 475 is divided by 53.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.014 - -39.086. Let a = -4.9 - f. Let u = a + 48. What is the third smallest value in -4, -6, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 3*j + 4*b = 137, 4*j = 4*b + 488. Suppose d + g = -0*d + 116, 0 = -d + 2*g + j. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3027 a factor of 109768115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 + -3. Solve 0 = -2*n - u - 7 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 296834475 or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the second derivative of -2*d**4 - d. Let m(s) = 16*s - 5. Let t(c) = -26*c + 8. Let z(k) = 8*m(k) + 5*t(k). Give z(n(h)).\nAnswer: 48*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17912*b**2*p**2 - 4*b**2*p - b*p**2 - 59*b - 394*p**2 + 10522*p wrt p?\nAnswer: -35824*b**2 - 2*b - 788","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, -0.3, 116?\nAnswer: 116","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*h - 3*h - 148. Does 17 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(152) + sqrt(152)*2)*2)\/(sqrt(1152)*-1) - (-5 + 5*-1*sqrt(1539)).\nAnswer: 5 + 89*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 104266500 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 107*j**3 + 7*j + 2*j - 76*j**3 - 8*j.\nAnswer: 31*j**3 + j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -22 + 12 - -20\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 4*z - 3 - 2 + 1. Let p be 7 + (-1 - (2 - 0)). List the prime factors of c(p).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 + -7 - (-1897578)\/6 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*l**2 + 1 + 197*l**4 - 426*l**3 + 2*l**2 + 426*l**3 + l - 3*l**2 to the form s*l**4 + x*l**3 + t*l + f*l**2 + d and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10*2\/8*16\/10. Which is the nearest to 4? (a) -0.5 (b) 0.05 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 15*z - 42. Determine c(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -19, -37, -57, -79, -103?\n\"Answer: -s**2 - 15*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + 3.4. Let v = i + -6.5. Round v to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 73, 143, 213, 283, 353, 423?\nAnswer: 493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 2*r**3 - 15*r**2 - 97*r + 611. Give h(9).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (231\/42)\/(2\/(-12)). Let w = u + 35. Solve -t + 4 = -w*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes after 4:53 PM?\nAnswer: 2:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 253.3998903 + -253.4. Round o to five dps.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 20 = -0*o. Is 33\/7 greater than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16634 + 291327. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -2*b**3 + 2*b**2 + 3*b + 2. Let u = -16 - -14. Calculate f(u).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4*(-3)\/3)\/(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 610 = -2*w, -21*w - 1220 = -25*w - 3*o. Does 55 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 343.24 + 6.76. Let m = z + -349.654. Round m to two decimal places.\nAnswer: 0.35","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 531513 to the nearest integer?\nAnswer: 729","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 8, a: 5, k: 2}. Give prob of picking 2 a.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -1\/7, 3, 7, 0.1?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -956241 and 1.16?\nAnswer: 956242.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - w = 3*w - 274, -2*w = 3*z + 182. Let x = z - -44. What is the units digit of 77\/x*-1*(-18)\/(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 3*j**3 - 5*j**2 - 2*j - 2. Let i be m(5). Let y be (2 - i)*(0 - -1). Let h = -113 - y. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the first derivative of 7*n**5 - 5*n**4\/2 - 35*n**3 + 50*n**2 - 20*n + 23. Factor x(w).\nAnswer: 5*(w - 1)**2*(w + 2)*(7*w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/(-3)*-39*(1 - -6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 635605?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 1. Let z(u) = -1 - 3 - 1 + 2*u. Suppose d - 3*o = -3*d - 7, d = 4*o - 5. Let y(g) = d*z(g) - 3*f(g). Differentiate y(m) with respect to m.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -32*r**2 - 26*r**4 - 2*r + 24*r**4 - 14*r**3 + 16*r**3 - 1 + 1 in the form x*r**3 + j*r + p + f*r**2 + n*r**4 and give f.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -15058, -62816, -143276, -256438, -402302, -580868?\n\"Answer: -16351*j**2 + 1295*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*p + 150 = -3*p. Let n = 31 + 35. Suppose 2*d - 29 = -3*k, -n = -5*k - 3*d - 19. What is the remainder when p is divided by k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*q + 1697 - 3424 + 1727.\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2306*z = -2276*z + 60. What is the closest to z in -5, -0.2, -0.043?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 times 55.94?\nAnswer: 671.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*u**3 - 2*u + 2 + 0*u + 2*u.\nAnswer: -19*u**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -17642800 to the nearest ten thousand.\nAnswer: -17640000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*w + k + 5, 4*k + 3 = -w. Let h be (-21)\/9 + (-4)\/6. Let p be h*(1\/w)\/(-1). Solve -p*x - 12 = 3*v, v + 6 = 2*x - x for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.9 and -0.080357.\nAnswer: -0.0723213","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 2*j = 3*f - 370, -j + 87 = -2*f. Calculate the greatest common factor of j and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00037512 rounded to five decimal places?\nAnswer: -0.00038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 860 is divided by 207?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 40580925 and 275.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -770 = 10*w - 680 for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 153 = 4*h + 1035, -608 = 2*h - 5*d. Let c = 51 + h. Let v = c - -365. What are the prime factors of v?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-15*4\/(-72))\/(-1)\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6 + 5953?\nAnswer: 5959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.23653 + -0.43653. What is the nearest to 1 in 0.1, -1, x, 3\/46?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 424745?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -349, -586, -1231, -2488, -4561, -7654, -11971, -17716?\nAnswer: -25093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-32)\/20)\/(70\/(-175)) + 8.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1242 + -1?\nAnswer: 1241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 45*v**3 - v**5 + 5*v**4 - 4*v**4 - 44*v**3 + (-3*v**4 - 3*v**4 + 5*v**4)*(1 - 2*v - 1) + v - v**5 - v + 2*v**5 + 0*v**5 - 4*v**5.\nAnswer: -2*v**5 + v**4 + v**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b - 2*s + 436, -5*s - 21 = -b + 50. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 + 1 - (14 + -15). Suppose -2*j = d - 98. What is the third derivative of -54*k**2 + 11*k**5 - 37*k**5 - j*k**2 + 103*k**2 wrt k?\nAnswer: -1560*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -2*m + 6. Let q(r) = r - 59. Give b(q(u)).\nAnswer: -2*u + 124","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 + (240\/260)\/((-2)\/(-1369)). Let c = -11951083\/19006 + z. Calculate the common denominator of c and -99\/10.\nAnswer: 7310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/2, 0.169, 0.46?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -196513c (base 13) in base 4?\nAnswer: -133312310221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10647552, 21295104, 31942656, 42590208, 53237760?\nAnswer: 63885312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**3 - 26*u**2 - 1636*u + 3360.\nAnswer: 2*(u - 35)*(u - 2)*(u + 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2349 divided by 3?\nAnswer: 783","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 252\/315*18130\/(-588)\nAnswer: -74\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4023637 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) 9.55 (c) 5 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -359, -26, 6 in decreasing order.\nAnswer: 6, -26, -359","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 339, 36966, -3 in descending order.\nAnswer: 36966, 339, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 17*t**2 - t - 3. Let x be f(2). Suppose 10*y - 13*y = -x. Calculate the remainder when 40 is divided by y.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -8*j - 6. Let a(o) = -9*o - 7. Let u be ((-6)\/9)\/((-17)\/(-15) - 1). Calculate u*a(x) + 6*b(x).\nAnswer: -3*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 14823\/(-1539)*190\/30?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 88*j*o - 2*j + 284*o + 23737 wrt o?\nAnswer: 88*j + 284","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33 + -8 - (73 + -66).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.065511 - -74.77053?\nAnswer: 71.705019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/2*((-8)\/(-34))\/(228\/(-342))?\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1082761565 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 209\/38*24\/22. Let f(w) be the first derivative of -8\/3*w**3 + 0*w + 25\/3*w**n + 0*w**2 + 12*w**4 - 18*w**5 + 3. Find i, given that f(i) = 0.\nAnswer: 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-22))\/((-4)\/11)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/2795 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -3*v**3 + 17*v**2 + 10*v. Give b(6).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 621 a factor of 491530037?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 25 - 25. Let q(y) be the first derivative of -2\/3*y**3 - 1 + w*y + 0*y**2. Let j(p) = -2*p**2. Calculate q(j(t)).\nAnswer: -8*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w + 8*w + 11*w)*(-3*w + 4*w - 2*w) + (2*w - 8 + 8)*(3 - 2*w - 3).\nAnswer: -21*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 - (-315)\/(-10))*2. Let k = -178\/3 - i. Which is smaller: k or 1.02?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 16 = 2*x, x + b - 4 = 2*x. What is the derivative of 0*t**2 + x*t**2 + 3*t**3 - 17 + 0*t**2 - 4*t**2 wrt t?\nAnswer: 9*t**2 - 8*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*l**2 + 2*l**2 + l**2 + (215 - 215 + 14*l)*(3*l - 5*l - 4*l) to the form d*l + m + g*l**2 and give g.\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * 7\nAnswer: 0.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:17 AM and 5:42 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**7\/g**(-8))\/((g*g**(3\/4))\/(g*g**(-2\/7)*g)) assuming g is positive.\nAnswer: g**(419\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6028369956?\nAnswer: 2, 3, 7, 23922103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 2 = 1. Let y be 0\/(-8)*p\/(-2). Let b(u) = u**2 - u + 4. What is the units digit of b(y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108 = 4*x + 4*d - 2*d, 0 = -4*x - 4*d + 112. Suppose 0*s = 5*s - 5. Suppose -t - s = -14. What is the highest common divisor of x and t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2040 is divided by 146.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 322 - 319. Let b(n) = n**3 + n**2 - 2*n + 2. Let w(l) = -2*l**3 - l**2 + 3*l - 3. Let p(f) = x*b(f) + 2*w(f). Factor p(v).\nAnswer: -v**2*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 519703 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a**2 + 54831*a - 10966 = 0. Calculate a.\nAnswer: 1\/5, 10966","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**0)**(-5))**(3\/2)\/((x**(1\/4)\/x**(2\/7))\/(x*x**(2\/11)*x**(-6))) assuming x is positive.\nAnswer: x**(-3783\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.1664*93\nAnswer: 15.4752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 277074, 277079, 277084, 277089, 277094?\nAnswer: 277099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1098a30 (base 12) to base 13.\nAnswer: -878049","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -24*b + 1. Let r be n(-1). Suppose -5*t - 60 = -5*h, t - 3*t + r = 5*h. Is h even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -5.7 (b) 4 (c) -2\/13 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -19278 divided by -54?\nAnswer: 357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19.256577 - -23.25657703. Let x = m - 4. What is x rounded to seven dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 11*t**2 - 5. Let m(z) be the second derivative of -7*z**4\/12 + 3*z**2\/2 + z. Let w be (-4 - (-6 + -3))\/(-1). Determine w*r(u) - 8*m(u).\nAnswer: u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1696432?\nAnswer: 2, 229, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*-4 - 20\/(-6)*1239\/118?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 249075229?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/35)\/((-8)\/((-2880)\/(-54))*-4).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*g + 244 = 29*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1747932993?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 46232 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -16*j**2*p*z + 104*j**2*p + 304*j*p*z + 353*j + 4*p*z - p + 3*z + 1 wrt z?\nAnswer: -16*j**2*p + 304*j*p + 4*p + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 0.021 (b) 10 (c) -3 (d) 2\/51 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 39790 and 55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114) + (sqrt(114) - (sqrt(114) + -5*-3*sqrt(114))) + sqrt(114) - sqrt(114))\/(sqrt(54)*4 - sqrt(6))*2.\nAnswer: -28*sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 3*i - 1038 + 226, -4*i - 4*q = -1076. Let s = -47 + i. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*c - 6*c + 13*c + 21*c.\nAnswer: 48*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/4)\/(1\/8*4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*d + 2*p + p - 16, -4*d + 2*p + 16 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9017 = -5*p + 38813. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*p = 11*p + 5*o + 441, 0 = p + 4*o - 130. Is -10*((9 - p) + 9) a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q + 93 - 30 = 0. Let s(x) = -x**3 + 7*x**2 + 14*x + 22. Let m be s(q). Is -14 at most m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 9 = -0*r. Suppose -7 + 1 = -r*t. Which is bigger: 17\/5 or t?\nAnswer: 17\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 153054?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/12 and 6 + -3 - 131\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the third derivative of 13*c**6\/30 - c**5\/60 + c**4\/24 + 13*c**2. What are the prime factors of w(1)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*y**2 - 5*y**2 + 104 + 5*y**2 as g*y**2 + s*y + q and give q.\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -g + 2*g**2 + 3*g**3 - 2*g**3 + 2*g**2 - 3*g**3 to the form o + l*g**2 + z*g**3 + a*g and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) -1 (c) 5\/3 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j - 45. Let z be i(48). What is the remainder when 230 is divided by (28\/(-8) + z)*(-24 - -2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 676970?\nAnswer: 2, 5, 7, 19, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(33)\/(-1*sqrt(3)) + 2.\nAnswer: -sqrt(11) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v**2 + 2656*v - 2660 = 0 for v.\nAnswer: -665, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 151*d + 50*d + 406*d + 305*d + 70224 for d.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15 and 445.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 30 = -5*t + 10*t, -6*t + 5*m = -36 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, -10, -7 in decreasing order.\nAnswer: 2, -5, -7, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 753, -341 in decreasing order.\nAnswer: 753, 3, -341","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4763189 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 4*w - 155. Let f = 39 - w. Solve j = k + 5, 4*j + k = 2 + f for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16218082 (base 9) to base 14\nAnswer: -110c992","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 14562.4 and -171427.\nAnswer: -156864.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(576))\/sqrt(8).\nAnswer: -12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16 - 3444\/224)\/((-574)\/24 - -16).\nAnswer: -3\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a decade in months?\nAnswer: 1860","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 232839 + -29326. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1549b1 (base 15) to base 5\nAnswer: 230400231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4\/14)\/(3\/21). Suppose r*l - 11 = i, -3*l + 13 = -l + i. Let m be (2\/4)\/(3\/l). Sort m, -3, -1 in ascending order.\nAnswer: -3, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -4 + 13. Suppose -4*p - 10 = -4*y + 86, 0 = -d*y + 5*p + 68. Let v = 22 - 13. What is the remainder when y is divided by v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 353b (base 12) in base 7?\nAnswer: 23231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -118*b**2 + 3735*b + 33955949?\nAnswer: -236*b + 3735","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - z + 8 = 0, 2*z - 434 + 413 = 3*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*l - 4*l = -1455. Let s = -56 + l. Calculate the remainder when s is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1753596253 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 3613230 to the nearest 10000.\nAnswer: 3610000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -13.4779 (c) 0 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 6*o**2 + 2*o + 3. Let l be z(-1). Find the second derivative of 5*d**4 + 11*d**4 + 3 + l*d + 2 - 1 wrt d.\nAnswer: 192*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4949146527 to the nearest integer?\nAnswer: 70350","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001688305 rounded to 7 dps?\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*b - 12*b + 4*b + 180 = 0 for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 2*v**3 - v**2 + 2*v - 1. Suppose 4*i + 8 + 92 = 0. Let o = -24 - i. Let u be q(o). Put u, -5, 3 in descending order.\nAnswer: 3, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of 203*z**2 + 936*z - 638. What is the derivative of v(t) wrt t?\nAnswer: 406","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - q - 30 = 0, -2012 + 545 = 499*g - 2*q for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -23*c**3 + 9*c**2 - 5*c + 3. Let h(m) = 26*m**3 - 8*m**2 + 6*m - 4. Let z(i) = 5*h(i) + 6*n(i). Find the third derivative of z(f) wrt f.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -3*k**3 - 8496*k**2 + 308799*k - 2710260 = 0.\nAnswer: -2868, 15, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (6 + 1*1569\/12)*4?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -1 - 1 - y + 0*y**2 + 0 - y**3 - y**2. Let b be p(-2). Suppose -b*t + 15 + 33 = 0. Does 7 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -351101.7 or 1?\nAnswer: -351101.7","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -17*o**2 - 10*o. Let x(a) = 34*a**2 + 20*a. Let s(i) = 5*r(i) + 3*x(i). Find the second derivative of s(j) wrt j.\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 52474.31um?\nAnswer: 5.247431","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 d, and 2 m when four letters picked without replacement from {m: 2, d: 4, k: 1}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (11\/(550\/(-30)))\/(54\/(-12))\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 27\/13, 2\/3, -1, -14 in ascending order.\nAnswer: -14, -3, -1, 2\/3, 27\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 707\/(-28) + 13 + 14\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and 36?\nAnswer: 14.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -15512, -123154, -415320, -984272, -1922272?\n\"Answer: -15377*w**3 - 3*w - 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 2253105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - 2*m + 7*m - 5, 8 = 2*o - 4*m. Suppose 4*b - 79 = 5*r, -o*b + 22 = -b - 2*r. Solve 0*s - 3*s - b = -g, -4*g + 28 = -3*s for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 57 + -58. Let z(o) be the third derivative of -o**5\/60 - 3*o**4\/8 - o**3\/3 + 3*o**2. Let y be z(-8). Which is the biggest value? (a) v (b) -5 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the second derivative of 2*x**2 + 0*x**5 + 0 + 4*x - 1\/15*x**6 + 0*x**4 + 0*x**3. What is the first derivative of u(v) wrt v?\nAnswer: -8*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*((y*y**(-12)*y)\/y)\/y*y)\/y**(-15)*(y**2)**(1\/36) assuming y is positive.\nAnswer: y**(91\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2038 is divided by 157?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - f = -2*b + 38, -4*f = b - 1. Suppose 0 = b*r - 14*r. Is (3 + r)\/((-24)\/(-88)) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 38 = 1482*y - 1480*y, -20*b = -4*y - 316 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 77 = -3*s, -6*q + 3*q = -15. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 1 = -2. Suppose 3*w = -4*v + 20, 3*v + 5*w = 2*v + 22. Let l be 0\/((3*v)\/q). Is 2\/3 < l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 59 = -73. What is the greatest common divisor of c and 165?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7662604 to the nearest integer?\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-1824)\/798)\/(4\/42)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 154 and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 d when two letters picked without replacement from {l: 3, t: 6, d: 2, w: 3, b: 4}.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8.58 - 3.54. Let a = -5.04000011 + p. What is a rounded to six dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wy when two letters picked without replacement from {w: 1, q: 1, k: 1, y: 1, j: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of -j**5\/130 + 537*j**4\/13 - 1153476*j**3\/13 + 1238833224*j**2\/13 + 344*j. What is b in m(b) = 0?\nAnswer: 1074","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*k = -72*k + 1 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -ea77a (base 16) to base 6.\nAnswer: -32330110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (338 + 1)\/((-6)\/4). Let t = x - -976. Let i be (t\/7)\/(3\/(-126)). Round i to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 2*u - u. Suppose 2*k - u = -2*k. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and 5223.\nAnswer: 10446","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1537*l + 3 - 16*l**3 - 6*l**3.\nAnswer: -22*l**3 + 1537*l + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -13*g**3 - 7*g**2 - 10*g - 17. What are the prime factors of p(-5)?\nAnswer: 1483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -5*(2*sqrt(343)*-5 + sqrt(343)).\nAnswer: -3 + 315*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 6:31 AM?\nAnswer: 7:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/(j\/(j\/(j\/j**8*j)))*((j\/j**2)\/j)\/j*j**0\/(j**(-5\/3)\/j) assuming j is positive.\nAnswer: j**(20\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*j + 3*j + 6 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 - -6. Let j = 3 + z. Suppose j*h = h + 13. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 3*g**2 - 2*g - 2. Let t be w(2). Let h(z) = -12*z - 15*z + 3 + z**3 + t*z**2 + 28*z. Determine h(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.4506 to 2 decimal places.\nAnswer: -0.45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -2643 + 731*r + 743*r - 2929*r + 742*r + 736*r + (-4*r - 4*r + 6*r)*(-1 - 1 + 0) as i + x*r and give x.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -2*l**4 - 102464*l**3 - 29343744*l**2 = 0.\nAnswer: -50944, -288, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1773?\nAnswer: 3, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2685\/2506)\/((-12)\/14) - 22\/(-24)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, 2\/13, -5, 0.31?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r - 10*r + 5790. List the prime factors of r.\nAnswer: 2, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -2*f - 29. Let k(v) = v. Determine k(t(a)).\nAnswer: -2*a - 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1*-6057673\nAnswer: 6057673","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 144 - 145. Sort 14, l, 3.\nAnswer: l, 3, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and 0.194.\nAnswer: 0.194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 42596 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -26063, -26064, -26065, -26066, -26067?\n\"Answer: -g - 26062","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-16)\/114*(-3)\/4. Let y = -53 + 64.1. Let s = y + -6.1. What is the closest to 0 in s, -0.2, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 73*h - 2336. Determine d(32).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 39*n**3\/8 + 12183*n**2\/8 + 24249*n\/8 + 12105\/8 = 0?\nAnswer: -4035\/13, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -174 + 174 - 2*m.\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12541102*m + 12541102*m + 10*m**3.\nAnswer: 10*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-201)\/21 + 6\/(-14). Let r be (-10)\/25 - 179004\/l. What is r rounded to the nearest one thousand?\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1007799.\nAnswer: 3, 13, 25841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -33*v - 15. Let o be m(-2). What is the highest common divisor of 34 and o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -74 times -9614508\nAnswer: 711473592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -254283, -254272, -254245, -254202, -254143, -254068, -253977?\n\"Answer: 8*o**2 - 13*o - 254278","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by -107226.\nAnswer: -1\/17871","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 6 - 15 = 5*k, 0 = -4*k - q - 9. Put -4, 30, -5, k in descending order.\nAnswer: 30, k, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2 - 9*d + 25. Let l be k(4). Solve 3*s + 2*z - 24 + 10 = 0, -l*s - z = -21 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + 7 - 2*t - 2 + (-3*t + 3*t + t)*(0 + 1 + 1) + 2*t + 2*t - 3*t.\nAnswer: t + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 24\/11 and -40\/179543.\nAnswer: 1974973","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 304*m + 545. List the prime factors of v(4).\nAnswer: 3, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -243*x = -3*c - 242*x + 21, -5*x = -c + 21 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 34*a**3 - 4*a**2 - 4*a - 2. Let n(d) = -69*d**3 + 9*d**2 + 9*d + 3. Let r(y) = -2*n(y) - 5*q(y). Does 9 divide r(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -119916124*b**4 + 281503322?\nAnswer: -479664496*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*z**3 - 3*z**3 + 6*z**3 - 3*z**3 - 3.\nAnswer: 5*z**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 177129 divided by -1\nAnswer: -177129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-90)\/36 - (-10)\/4 - -12) + 486\/(-40)\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 - (1 - 28230\/63). Let i = -449 + p. Which is smaller: -0.01 or i?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of 151*h**3\/3 - 2*h**2 + 29*h + 116. Is d(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2\/3 + 3232*f\/3 + 336896\/3.\nAnswer: 2*(f + 112)*(f + 1504)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 - -142?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 770654458.9 to the nearest 100000.\nAnswer: 770700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the first derivative of 27*d**4\/4 + 18*d**2 - 68. Find the second derivative of s(o) wrt o.\nAnswer: 162*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*v + 1488 = -l + 2943 - 1482, -4*l = 3*v - 32 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14508563 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 709854 by 6.\nAnswer: 118309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 184 + 1076. Let f = -719 + r. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -22 - 2*f**2 - 40*f + 7*f + f**2 + 20*f = 0.\nAnswer: -11, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2839\/7 - -410. Let q = t - 327\/77. Let k be (1\/6)\/((-2)\/(-3)). Sort q, k, -1 in increasing order.\nAnswer: -1, q, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 60\/18*(-6)\/5. Suppose 3*m + 48 = 7*m. Let g = m - s. Is 8 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -w. What is the third biggest value in 1\/5, w, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the third derivative of -7*b**6\/660 - 2*b**5\/55 - b**4\/44 + 2*b**3\/33 - 17*b**2. Factor s(l).\nAnswer: -2*(l + 1)**2*(7*l - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-354)\/2360*5\/(-1))\/(3\/(-36))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes after 5:03 PM?\nAnswer: 5:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1237 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: Solve 180*u + 5*t = 177*u - 109, -2*u - 19 = t for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-2\/3))**(-16\/9)*i**(-2)\/i*i*i*i**(1\/2))\/((i**1)**9\/(i**(-2\/3)*i*i\/((((i\/i**(-1))\/i)\/i)\/i))) assuming i is positive.\nAnswer: i**(-323\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 - 6*g**2 - g + 8. Let k be s(6). Suppose -j + 63 = k*j. Solve 3*f + 5 - 2 = 0, -4*d - 5*f - j = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15613\/9 + -10373\/6. Find the common denominator of s and 71\/123.\nAnswer: 738","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -68 + 76. Suppose 14*r - k*r - 120 = 0. Calculate the highest common factor of 60 and r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -3*o - 13, 3*j + o = 6*o - 17. Let w(c) = -c**3 + 15*c**2 + 17*c - 6. Let z be w(16). Suppose -z*a - 6 = -8*a. Put j, a, 4 in increasing order.\nAnswer: j, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1254862?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*h + 5*h - h + 9*h.\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 71527 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18 + -17.999964. Round b to five decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -57 + 56.999713. Round b to 4 dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*g**3*o**2 - 40215*g**3*o + 8*g**2*o - 3*g**2 - 1920*g*o**2 + 8*o**2 wrt o?\nAnswer: -4*g**3 - 3840*g + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 603187 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 578 and 612?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 166260931 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2798081941.\nAnswer: 41, 68245901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 26075 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: What is 8 + (3 + -5 - 1) - 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -5*k + 10, 4*k = -0*k + 3*c + 7. Let u = -0.03 + -0.27. Let g = u - 0.7. Is g at most as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14915.68533s to weeks.\nAnswer: 0.024662178125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.7743409 and -0.00748?\nAnswer: 0.7668609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -916 = -4*u + 2*b, 2*u = 3*u - 3*b - 224. Suppose 3*s - u = 34. Calculate the greatest common factor of 8 and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*m - 11*m + 12*m.\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*s = -42 + 14 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 18\/((32\/(-28))\/1). Are -17 and c equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(275) - (sqrt(11) - sqrt(11)*-1)*-1)**2 - (sqrt(891) + 5 + (3*sqrt(891))**2).\nAnswer: -7925 - 9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = 2*h + 8, -5*h + 240 - 253 = -4*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/640 and 24\/1765555.\nAnswer: 225991040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 185874 is divided by 2581?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**3\/2 - 167*u**2 - 1631*u\/2 + 2303.\nAnswer: -(u - 2)*(u + 7)*(u + 329)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1826064 divided by 608688?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 11*m**2 - 17*m + 15. Let g(k) be the first derivative of 5*k**3\/3 - 4*k**2 + 7*k - 7. Let l(z) = 9*g(z) - 4*i(z). What is l(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-three sixths of a decade?\nAnswer: 460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/3 + 197 + -5. What is the greatest common divisor of 76 and y?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 0*s = 4, 4 = y + 2*s. Suppose y = -v - v + 18. Solve k = -2*q - 0 + v, 0 = k + q - 6 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 866\/(-30310)*(-2 - ((-165)\/(-9) - 4))?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/8, 0.5, 0.0678?\nAnswer: 0.0678","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (5*(2 + sqrt(200)) - (-3 + sqrt(288) + sqrt(288) + sqrt(288) + 2 + sqrt(288))))**2.\nAnswer: 56*sqrt(2) + 204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:43 AM and 9:35 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -29*m**3 + 58*m**2 + 58*m. Let w(k) = k - 5*k**2 - 2*k**2 + 16*k**2 - 4*k**2 - 4*k**2. What is o(s) - 58*w(s)?\nAnswer: -29*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.232 rounded to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 13) in base 4?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7.2 - -7.7. What is the second smallest value in -3, 0.4, 3, i?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 2*n - 3. Is n a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -33203 - -30220?\nAnswer: -2323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*i**2 + 4*i**3 + 39*i**2.\nAnswer: 4*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, 1, -21, -11, 5, -113.\nAnswer: -113, -21, -11, -2, -1, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**2. Suppose 2*i - 613 = 2*h + h, 5*h - 313 = -i. Let w(f) = -i*f**2 + 0 + 1 + 306*f**2. Determine -4*b(k) + 3*w(k).\nAnswer: -2*k**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -10*b**2 + 33*b + 14. Let i(q) = 3*q**2 - 11*q - 4. Let w(u) = -7*i(u) - 2*l(u). Find p such that w(p) = 0.\nAnswer: 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14802*d - 2680864 + 727000 = 0 for d.\nAnswer: -132","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/27)\/(7\/21)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 72596 - 12922041\/178. Find the common denominator of 59\/445 and i.\nAnswer: 890","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 6*c + 46 + 53 = 0. Let k(t) = -10*t**2 + 5*t - 5. Let r(j) = -19*j**2 + 9*j - 9. Determine c*k(u) - 6*r(u).\nAnswer: 4*u**2 + u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i, -3*j - 4*i = -3*i. Let r(t) = -t**2 + 3*t + 4. Let c be r(4). Let p(g) = g**3 + 25. Let q be p(c). Solve q = 5*o - j for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11 and 3883?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2 - 8*b + 26. What is i(11)?\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 660243303?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 2214*i - 937. Is g(20) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2448 and 432?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3710?\nAnswer: 2, 5, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 24 - 3*m**2 - 16*m - 24*m + 54*m. Let b(p) = -p**2 + 5*p + 8. Let g(z) = -7*b(z) + 2*t(z). Let u be (252\/36)\/(2\/2). Calculate g(u).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*t - 68*t + 223*t + 0*t - 16*t**3 - 63*t.\nAnswer: -16*t**3 + 133*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8*v**3 + 49*v**2 - 289*v + 54141092.\nAnswer: 24*v**2 + 98*v - 289","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 + ((-4)\/2 - 1). Suppose 0*c + 3*c - 12 = l. What is the remainder when 18 is divided by c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7448*q**3 - 934*q + 11*q**2 - 12*q**2 + 934*q to z + p*q**3 + u*q + c*q**2 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-2\/3)*u*u**(-2\/27)\/u*(u\/(u*u\/(u**(-1)\/u))*u)\/(u**16*u) assuming u is positive.\nAnswer: u**(-533\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 1:59 PM?\nAnswer: 4:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1535543 to the power of 1\/3, to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 36 and 306?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 divided by 3?\nAnswer: -44\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1133125 (base 6) to base 4.\nAnswer: 32122031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97*t - 923 = 1696 for t.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 137\/18 and 47\/596548.\nAnswer: 5368932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 4*y**2. Let q be s(-1). Let f be (-24)\/(-20) + 3\/30*-2. Which is smaller: f or q?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 + 4*o**2 + 6*o + 2. Let v(w) = 116*w**3 - 2*w**2 - 3. Let h be v(2). Suppose 23*s = h - 158. Calculate the least common multiple of s and u(5).\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 311*o**3 - 2*o**2 - 15*o + 16. Calculate the smallest common multiple of 248 and d(1).\nAnswer: 1240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -46619 - -139170. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2\/4 + 169*r\/4 - 42.\nAnswer: -(r - 168)*(r - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-12 - 3 + 2)*(j - 2*j**2 - j)*(-57*j - 174*j - 119*j) to v*j**2 + z + k*j + i*j**3 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 964 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -75094, -75095, -75096, -75097, -75098?\nAnswer: -75099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 18 + 1)*(46*y**2 + 37*y**2 - 94*y**2) + 1 + 3*y**2 - 4*y**2 + 1.\nAnswer: 109*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -203 + 98 = -7*n. Calculate the remainder when 40 is divided by n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -218891\/5 + 43615. Which is bigger: -162 or y?\nAnswer: -162","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 33*n**4 - 7*n - 8*n**4 + 15*n + 2*n wrt n?\nAnswer: 300*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 + 0)*(2*s**2 + 0*s**2 + 0*s**2)*(-1 + 0 + 0)*(0*s - 2*s + 4*s).\nAnswer: -8*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 5*c + 5. Let s(x) = 15*x + 13. Calculate -17*j(m) + 6*s(m).\nAnswer: 5*m - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 213 and 2452464.\nAnswer: 174124944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18) - 4*(sqrt(18) - (sqrt(18)*3 + sqrt(18))))\/sqrt(9) + sqrt(2) + (1*sqrt(2) + -5 + sqrt(2))**2 + -4.\nAnswer: -6*sqrt(2) + 29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 4*r - 36, -4*r + r - 67 = -4*p. Let s be (p\/24)\/((-2)\/12). Suppose 6*w - 26 = -2. Put s, w, 2 in descending order.\nAnswer: w, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 2\/129035 and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, 0, 107737, -5 in descending order.\nAnswer: 107737, 0, -5, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 4632*q + 2. Let l be j(4). Let m = l + -13047. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of 0*v - 1\/63*v**3 - 1\/630*v**5 - 22*v**2 - 1\/126*v**4 - 10. Let q(c) be the second derivative of n(c). Factor q(z).\nAnswer: -2*(z + 1)**2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 559*y + 16*y**3 + 561*y - 1117*y.\nAnswer: 16*y**3 + 3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1713315.15 - 1217232\nAnswer: 496083.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**2 - z - 43. Let v be c(0). Let o = v + 259\/6. What is the biggest value in 0.5, -2, o?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 8:01 PM?\nAnswer: 7:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1066\/13635?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1168716868 or -1168716866?\nAnswer: -1168716868","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23274 (base 8) to base 9.\nAnswer: 14537","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*p + 10 = -40*p. Suppose 8*w = p*w - 8566. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*u + 4*u - 2*u + 4*u - 2*u - 3*u + (-3*u + 0*u + 5*u)*(2 - 2 - 1) - 5*u - 5*u + 4*u.\nAnswer: -11*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -697*u - 24. Is q(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 84 - 50. Suppose -146 + d = -4*f. Calculate the highest common factor of 42 and f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35832491 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 1401*m. Let g(f) = -4*f**2 + 75*f - 3. Let w(v) = -3*v**2 + 50*v - 2. Let k(c) = -2*g(c) + 3*w(c). Determine k(r(x)).\nAnswer: -1962801*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 305473513 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 - -5)\/(3*(-2)\/(-4)). Solve c*x - x = 6 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 266 and 25566989.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 20 = -5*y, 0 = u - 3*y - 5 + 1. Sort -3\/8, -4, u, 4 in descending order.\nAnswer: 4, -3\/8, -4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, 1, -4, 0, 5990, -11 in increasing order.\nAnswer: -11, -5, -4, 0, 1, 4, 5990","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 17*y. Let d(p) be the third derivative of p**5\/60 - 2*p**2. Calculate s(d(a)).\nAnswer: 17*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -102.564 to the nearest 10.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6078 + 6079. Do -1\/7332 and x have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of a**6\/960 + 29*a**5\/120 + 451*a**4\/192 + 7*a**3 + 17*a**2 - 40*a. Factor b(g).\nAnswer: (g + 1)*(g + 3)*(g + 112)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 - 26 = -15*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 21742211?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 33 (c) -25 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (-1*sqrt(832))**2 + sqrt(832))*6*5 - 6*(sqrt(832)*2*-6 + sqrt(832) - (sqrt(832) + 1)*6)**2.\nAnswer: -1417824 - 9552*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -169533798 divided by -8073038?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 945?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6505?\nAnswer: 5, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -26*(-3 - 0)\/(-6). Let l = -6 - g. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 538102543*c**5 - 62022252*c**2 wrt c.\nAnswer: 32286152580*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the third derivative of -q**5\/10 - 3*q**4\/8 + q**3 - 35*q**2. Let b(x) = -x**2 - x + 1. Determine -14*b(m) + 2*s(m).\nAnswer: 2*m**2 - 4*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -537434120 to the nearest one million.\nAnswer: -537000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 - 17*o**2 + 15*o + 18. Let p be y(16). Let f be (9\/6 + -2)*(-2 + p). Solve -k - 2 - 1 = f for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -65719 divided by 65719?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*k + 9*k**2 - 4*k**2 - k**2 + 32 - 21*k.\nAnswer: 4*(k - 8)*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*i + 4*i + 356. Let d = i - -1159\/13. Which is the second smallest value? (a) -3 (b) d (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 103 - 25 = 5*y, 5*j = -y + 484. Suppose -11*w = -w - 420. Calculate the highest common factor of j and w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1587254, -1587255, -1587256, -1587257, -1587258?\nAnswer: -1587259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -66946.0891 and -2.\nAnswer: -66948.0891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a - 7*p + 4*p - 40, 5*a + 61 = -p. Sort 1, a, -3, -4 in ascending order.\nAnswer: a, -4, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1817731 to the nearest integer?\nAnswer: 1348","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 2*v - x = -2596, 3*x = -12. Suppose 5*h = -25, 8*f - 3*f = -3*h + v. Calculate the remainder when f is divided by 57.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p = -0*p + 5*j + 5, 0 = 3*j + 15 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**3 - 4*s**2 - 3*s - 4. Let m be (-33)\/(-12) + 1\/4. Let k be (-1)\/(1 + (-2)\/m). Determine a(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 10\/4*28\/(-245). Let p = -189 + 188.5. What is the closest to o in -1, -14, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 129372?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(-4) + 7\/4. Suppose n*s + 2 = -u - 2*s, 4 = 3*u + 2*s. Suppose -4*q + 46 - u = 0. What is the remainder when 21 is divided by q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from klfkoffooekfo. Give prob of picking 2 k.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 11*b**2 - 2*b + 12. Let i(m) = -5*m**2 + m - 6. Let f(s) = 13*i(s) + 6*w(s). Calculate f(-6).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z = -3*z - 3 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*c**3 + 12*c**3 - 33*c**3)*(1 + 1 - 4 + (7 - 3 - 2)*(-1 - 3 + 2)).\nAnswer: 48*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**2 - 2 - g**2 + 2*g**3)*(13 - 14 + 2*g + 12).\nAnswer: 4*g**4 + 22*g**3 - 4*g - 22","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -411 - 11?\nAnswer: -422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 55 - 23. Suppose 4*r + 2*r - 5*r = 0. Suppose 0 = 2*f + 2*z, r*f - 12 = 2*f + 5*z. Calculate the greatest common factor of f and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, h: 3, l: 2, q: 3, n: 1, w: 1}. Give prob of picking 1 n, 1 c, and 1 w.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4 + 30\/8 - 13\/(-4). Suppose a + w*j - 49 = 0, -3*j = 4*a - 42 - 145. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4154\/62*(-74 + 73)?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 5331*o**3 + 57*o**2 + 25*o. Let x(a) = 5331*a**3 + 57*a**2 + 29*a. Let m(t) = -6*x(t) + 5*z(t). Find the third derivative of m(v) wrt v.\nAnswer: -31986","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**3\/(g\/(g\/(g\/(((g\/g**(2\/19))\/g)\/g)))))\/(g**(1\/6)*g*g**(-2)\/g*g)*((g**(-1\/2)\/g)**15)**10 assuming g is positive.\nAnswer: g**(-25453\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -15*s**3 + 5*s**2 - 9. Let z(y) = -215*y + 1077. Let i be z(5). Let h(g) = -3*g**3 + g**2 - 2. Determine i*u(q) - 11*h(q).\nAnswer: 3*q**3 - q**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 20*u**2 + 5909*u + 35. Let r(o) = -14*o**2 - 3939*o - 25. What is -5*d(q) - 7*r(q)?\nAnswer: -2*q**2 - 1972*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q + 35. Suppose -3*b + 0*b = 4*o - 15, -4*b + 20 = o. Let k be 4\/(-2) + o\/(-6). Let m(a) = -3*a - 4. Let l(i) = i + 1. What is k*m(p) + q*l(p)?\nAnswer: -p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l + 4. Let u(x) = 3. Let z(v) = 1. Let t(r) = -2*u(r) + 5*z(r). Let c = -2 + 3. Let n(w) = c*o(w) + 4*t(w). Let p(g) = -9*g**2. Give n(p(a)).\nAnswer: 9*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dhdddhd. What is prob of picking 1 h and 3 d?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -2*j - 8. Suppose -4*v = -2*n + 16, -5*n - 3*v - j = -0. Solve n = -2*s + 15 - 5 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u + 3. Let y(n) = 151*n - 1653. Let f be y(11). Let r(t) = -t + 3*t + 18 - 27. Calculate f*k(o) + 3*r(o).\nAnswer: -2*o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 4*u - 450, -2*u = 2*z - 284 - 176. What is the greatest common divisor of z and 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 365 a factor of 8654880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -39*w**4 - 1371*w**3 + 7434*w**2 - 5064*w - 960 = 0.\nAnswer: -40, -2\/13, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -111372500, -111372499, -111372498?\nAnswer: -111372497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 0 - 8, 2*z = -n + 8. Suppose -d + z*b + 4 = 0, -d - 60 = 4*d + b. Let h = -9 - d. What is the remainder when 4 is divided by h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x**5 - 75*x**4 + 280*x**3 - 300*x**2 = 0. What is x?\nAnswer: 0, 2, 3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/2*3\/48?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -43.723 - -54.14. Let h = w + 0.033. Round h to 0 decimal places.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4c866a (base 14) to base 12\nAnswer: -a7121a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8\/9? (a) 0.3 (b) -0.4 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j + 4. Let g be z(3). Let r be 1\/1 - -38*g. Let y = r - 119\/3. Which is greater: y or -2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 237061.\nAnswer: 11, 23, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5613293761 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -89 + -a0d14?\nAnswer: -a0d9d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 166560569 to the nearest integer?\nAnswer: 550","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3114 - -2?\nAnswer: 3121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 2*s**2 + 27*s - 7. Let d be p(-14). Suppose 2*t = -d*t + 27. What is the second derivative of 713 - 713 + 21*c + 20*c**t wrt c?\nAnswer: 120*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1060, -3548, -6034, -8518, -11000, -13480, -15958?\nAnswer: -18434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 220 and 13068.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*w**2 - 2188*w + 0*w**2 + 4195*w - 2007*w + 11*w**2.\nAnswer: 16*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 619 - 338. Let o = l - 280. Sort 2, 3, o, 4 in ascending order.\nAnswer: o, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -83, 0.1, 2\/165, -4 in decreasing order.\nAnswer: 0.1, 2\/165, -3, -4, -83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 20*d + 13 - 53 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 6651174 (b) 1\/4 (c) 73\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -7 (b) -2\/199 (c) -3 (d) -1\/7 (e) -5 (f) 30\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 26*d = 21*d - 65700. What is the remainder when d is divided by 121?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 159895 + 1045?\nAnswer: 160940","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 4*d**2 - 103*d - 220. Determine k(26).\nAnswer: -194","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 133 - 73. Is l a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 1155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.106 (b) -4 (c) 118 (d) 157\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001592486331 to 4 decimal places.\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 - 8 = 5*k. Let l be (-15)\/(-10)*8\/k. Solve 5*f + 33 = -l*s, 32 = -5*f - 3*s + 1 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -6*o - 135. Let v be n(-20). Let g(d) = d**2 + 11*d - 60. Let a be g(v). Suppose -3*l + 2 = -2*l. Solve a = -3*i + l*k - 4*k - 16, k - 2 = i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 4*u + 16 = 0, -4*u + 11 + 13 = -4*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 544*m**2 - 71*m**2 + 907*m**2 - 210*m**2.\nAnswer: 1170*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1016424626?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 255805 or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1470, 6168, 14010, 25002, 39150, 56460, 76938, 100590?\n\"Answer: w**3 + 1566*w**2 - 7*w - 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a10c1 (base 13) to base 8.\nAnswer: -2407471","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -106 (b) 2\/11 (c) 4 (d) 6 (e) -6 (f) 0.93\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -732 = -4*z - 4*u, -2*z + 11*u - 7*u + 354 = 0. Let v = z + 207. Is v a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 11*v - 2724 = 16*v, 4 = -v. What is the hundreds digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:44 AM and 12:26 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the second derivative of -5447*b**3\/6 - 2739*b**2\/2 - 6672*b. What is the first derivative of a(m) wrt m?\nAnswer: -5447","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/53 in 2\/3, 1\/2, 0, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10990 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3994915861 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v**3\/3 - 92*v**2\/5 - 1358*v\/15 + 196\/5 = 0.\nAnswer: -21, -7, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -2*m**2 + 0*m - 16*m**3 + 15*m**3 - 6*m + 2*m. Is j(-3) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d - d + 604. Suppose 5*g - d = 29. Let r = g - 1. Calculate the remainder when r is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000934503416 rounded to 6 dps?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = q + 8. Let w = -5432 - -5431. Which is the closest to w? (a) q (b) 2 (c) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 170 is divided by 49?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 2 + 4. Suppose 120 = 4*v - 7*k + 3*k, -5*k = -h*v + 84. What are the prime factors of v?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-735)\/4410)\/((3\/(-342))\/(-1))\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5969, -5981, -5993?\nAnswer: -6005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5559ee + 5?\nAnswer: -5559e9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 4431 (base 5) to base 12\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1304 is divided by 241?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -136*r - 99*r - 2363 - 3042 for r.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the first derivative of 1 + 0*z + 7\/2*z**2. Let s(c) be the second derivative of -c**3\/2 + 2*c + 174. What is g(s(k))?\nAnswer: -21*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -15031 + -246126?\nAnswer: -264160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**2 - 1. Let s(j) = -4*j**2 - j + 2. Let y(v) = s(v) + 3*t(v). Let f(r) = 2*r**2 + 5*r + 3. Let d(o) = 5*f(o) + 15*y(o). Factor d(m).\nAnswer: -5*m*(m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -55*k + 18. Suppose -3 = -14*c - 5*c + 16. Give y(c).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuigyuyyupugyui. Give prob of picking 1 g and 1 y.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 76896064 and 336.\nAnswer: 230688192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3468918 is divided by 7008.\nAnswer: 6966","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.9, 4\/7, -12\/95, -0.3, 3 in ascending order.\nAnswer: -0.9, -0.3, -12\/95, 4\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes before 4:04 AM?\nAnswer: 4:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 3*n**2 - 4*n + 3. Let s = 28 - 16. Let c be d(s). Suppose -c = -4*p + 193. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 3. Let t(m) = -m**2 - 1. Let o(y) = -3*y**3 - y**2 + 2*y - 1. Let w be o(1). Determine w*t(r) - x(r).\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 205*q**4 - q**3 + 16*q**2 + 5*q**6 - 205*q**4 + 18*q**2 + q wrt q?\nAnswer: 600*q**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**2 - 8*a + 7. Give y(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 837 and 233151?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:13 PM and 6:00 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 798*y + 12. Let v(w) = -798*w - 12. Suppose 2*c = 8 - 0. Let p(b) = c*n(b) + 5*v(b). Let k be p(6). Round k to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) 37\/23 (c) -0.3 (d) -0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -26*v - 79. Let o be x(-4). Suppose 26 = o*j - 38*j. Which is the second biggest value? (a) -1\/5 (b) 0 (c) j (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 669, 1298, 1931, 2568, 3209, 3854, 4503?\nAnswer: 5156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 200495?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v - 1. Let d be g(1). Let b = d + 28. Does 14 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9 or -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1104145 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/33 and -43\/25421.\nAnswer: 76263","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -7 - 1132bb?\nAnswer: -1132c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are -298907 and -298909 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*g + 306 = 282 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**2 - 8*s + 19. Let x be g(-9). Suppose x*p + 336 = 17*p. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, p: 8, g: 1, i: 1, y: 3, b: 3}. What is prob of picking 1 m and 1 g?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -155 - -156. Let o = 22\/39 - 3\/13. Sort c, 5, o.\nAnswer: o, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-8)*v\/v**14)\/((v*v\/(v*v**(2\/5)))\/v*v\/(v*v**(-12)*v)))**(-12) assuming v is positive.\nAnswer: v**(1896\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 3*y - 132 = -157, 5*y = -27*p + 219. Find k, given that -1\/2*k**2 - p*k - 13\/2 = 0.\nAnswer: -13, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28899\/1235*1505\/387?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 7603910 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 689?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9104 - 9102. Let d(i) = -35*i + 15. Suppose -27 = -3*m + 18. Let c(r) = 5*r - 2. Determine h*d(p) + m*c(p).\nAnswer: 5*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000027524 rounded to 7 decimal places?\nAnswer: -0.0000275","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-3*((-20)\/4)\/75).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 353 or 337?\nAnswer: 353","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -1666 != -1665?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 129 a factor of 6507967?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -1033*v - 1520. What is the hundreds digit of s(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 91814 - 923097955\/10054. Is 1 less than or equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 1\/4, 2\/13, -13\/8, -0.4, 0.1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*n = -565 + 115. Suppose -2*f - 2*f + 14 = g, 8 = 4*g + 4*f. What is the common denominator of n\/(-24)*(762\/(-27))\/g and -91\/22?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 5, 2.\nAnswer: -7, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 199 = 4*u - 1867, -3*u = 5*l - 1243. Is u a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the second derivative of w**4 + 2*w + 21. Let p(o) be the third derivative of -7*o**5\/60 + 52*o**2. What is s(p(n))?\nAnswer: 588*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1*((-2 - -2) + -1). What is the common denominator of 188\/(-12)*s - 1 and -111\/10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 + 6*h**2 + 5*h + 10. Let v be x(7). Let j = 0.43 + 0.07. Which is the smallest value? (a) v (b) j (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-7)\/(-2))\/(2\/(-4)). Let z be ((-2)\/21)\/(v\/21). Is 2\/9 < z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(1425))\/sqrt(3))**2 + (-1*(sqrt(1216) + 0) + sqrt(1216))**2.\nAnswer: 11875","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 122 - 120. Solve 2*g - b - 4 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 + (-1347)\/630 + 4. Let k = g - 1\/35. Which is the closest to -2\/7? (a) -1\/7 (b) k (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 264 = 2*k + 2*s, 0 = 4*k + 5*s - 0*s - 527. Is k at most 132?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -34 + 35. Let n(q) = 48*q**3 - q**2 - q + 1. Let y be n(b). Suppose y*t = 48*t - 8. Solve -g - t = -3*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from {d: 2, z: 6, l: 2, n: 3}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6656 divided by 64.\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes after 8:00 PM?\nAnswer: 2:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/2, -213, -517?\nAnswer: -517","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the second derivative of y**4\/12 + 2*y**3\/3 - 4*y**2 + y. Let u be t(-6). Let r = -2 + 3. Solve 3*x - 5 = u*m, -r = -4*x + m - 3 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (-7 - 0)) + (59 - 65)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 9 - -139?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2003001 (base 4) in base 5?\nAnswer: 232020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3\/(-27))\/(1*2\/4). What is the nearest to 0.1 in r, -5, -2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11022222?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 6*p - 158. Let r(f) = 2. Let b(v) = -j(v) + 4*r(v). Let t be b(24). Solve 2*l = a + 7, 2*a - a + t = 5*l for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/1)\/(-5)*5\/((-40)\/24)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in eighteen fifths of a centimeter?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -3*x**3 - 18*x**2 - 6*x - 58. Let s(b) = -5*b**3 - 22*b**2 - 8*b - 59. Determine -3*r(t) + 2*s(t).\nAnswer: -t**3 + 10*t**2 + 2*t + 56","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3437\/2 - 1962. Let b = 251 + p. Determine m, given that b*m**2 - 9\/2*m - 3\/2*m**3 - 27\/2 = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the third derivative of l**5\/120 + l**4\/12 + l**3\/4 - 10*l**2. Suppose j(h) = 0. Calculate h.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -47*y**2 - 9*y + 6179. Let p(o) = -42*o**2 - 8*o + 6181. Calculate -8*l(j) + 9*p(j).\nAnswer: -2*j**2 + 6197","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, l: 8, w: 5}. What is prob of picking 1 l and 2 s?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 + y**3 + 3*y**2 + 5*y - y**2 - y**2 - 2 - 4*y to the form f*y**3 + o + d*y + m*y**2 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - t + t + 2*t**4 + (-3 + 0 - 1)*(0*t**4 + t**4 + t**4) to the form w*t**3 + y*t**4 + b*t + n + u*t**2 and give y.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(1\/10))\/m)**(3\/19)\/(m*m**12*m*(m\/(m**(-15)*m))\/m) assuming m is positive.\nAnswer: m**(-5323\/190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the third derivative of d**5\/20 + 5*d**4\/8 + 37*d**3\/6 + 7*d**2 + 7. List the prime factors of t(10).\nAnswer: 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 4*w - 11*w. Let h(y) = -y - 3. Let v be h(w). Solve -5*l = -3*l + v for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -98 in 4, -4, -2\/7, 37\/3, -0.2, -128?\nAnswer: -128","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 20 = 7*d. What is the smallest common multiple of (32\/(-18))\/((-40)\/180) and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55649.7 less than 834.216?\nAnswer: -54815.484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 4, l: 3, n: 4}. What is prob of picking 3 l?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-1)\/(-70)*33048\/7956 and 17\/130.\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/1200 and 25\/48444?\nAnswer: 4844400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*y - 23 - 31. Suppose 5*l + 0*l + 504 = y*t, 3*t - 528 = -3*l. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2978627 is divided by 190.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (-723)\/((1\/3)\/(4\/(-12))) - 3 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 57\/(-95)*(-300)\/(-18). Which is the biggest value? (a) 4 (b) w (c) 0.38\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 3*o**2 - 5*o - 5. Let v be j(-3). Suppose 4*m - 51 = -p, 0*p - 24 = -p + 5*m. Let w = p - v. Solve 0 = 3*g - 17 + w for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v = 21 - 18. Suppose y + 2*k = -v*y + 222, 2*y + 3*k = 121. Calculate the remainder when y is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -69766168938097 + 69766242158065.000087. Let s = 73219929 - f. Let v = 39 + s. Round v to five decimal places.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -112 + 558\/5. Let a = 107\/56 - 13\/8. Let z = 0.06 - 5.06. What is the third smallest value in z, a, i, -2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 278 and -0.11.\nAnswer: 277.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-580)\/80)\/(1\/4). Let y = 103 + d. What is the tens digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x - x - x)*(346*x - 710*x + 141*x).\nAnswer: -223*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10299*d = -10279*d + 220 for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 3*o + 105, -2*o - 139 = -4*i + o. Suppose a + 49 = 53. Suppose i - 14 = a*g. Sort -2, g, -5 in descending order.\nAnswer: g, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -5 + 4*k - 7*k**2 + k**2 + 6. Let i(b) = -5*b**2 + 3*b + 1. What is 5*i(f) - 4*x(f)?\nAnswer: -f**2 - f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - i + 21 = 0, -5*t + 40*i = 35*i + 25. Let o(n) = 8*n + 1. Determine o(t).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 + 5*k**2 - 13*k + 25. Let d be m(3). Suppose 1607 = d*o + 535. Is o a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1670365657 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lllnldnfbnbbl. Give prob of picking 1 b and 1 l.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 19053389 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -97.23 + 3.23. Let g = 94.5 + r. What is the second smallest value in 0.1, -0.32, g?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 75\/3 + (-1)\/(-6) and 58\/(-10) - 4\/(-10).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*z - 5*h - 825 = 0, -78*h + 75*h - 65 = -0*z - 2*z for z.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -471 and 348.707?\nAnswer: -164240.997","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 849 = 824 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-14424 + 14424 + 155*y)*(0*y**3 + y**3 + y**3) as b*y**3 + p + d*y + m*y**4 + h*y**2 and give m.\nAnswer: 310","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 - 13 - (123 - 140).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*-3*((-33)\/6 - -5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/7)\/(2\/(-28)). Suppose -28 = k*g + 24. Let x = 250.8 + -251. Is g equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 112875 and 140.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5341176 by -4.\nAnswer: 1335294","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2045 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 2*z + 4 = -0*k, -8 = 4*z. Let s(m) be the second derivative of 3*m - 3\/2*m**2 + 1\/6*m**3 + k. Determine s(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -54.2 to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**2 - 36*t + 29. Let j(w) = 38*w - 36. Determine -4*j(y) - 5*u(y).\nAnswer: -5*y**2 + 28*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3965 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1430?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.1469 + -7.4569. What is q rounded to 0 decimal places?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65547893 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03375935 rounded to five decimal places?\nAnswer: 0.03376","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 142500497, 142500496, 142500495, 142500494, 142500493?\n\"Answer: -f + 142500498","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 3\/2 (b) 287 (c) -2\/3 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*i**2 - 6 - 45 - 43 + 137.\nAnswer: 6*i**2 + 43","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.12 and -136.6.\nAnswer: 289.592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 4520 = 5*n - 1603, -4*n + 11572 = 4*l. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the first derivative of 1465*k**7\/7 + 2891*k**3\/3 - 3001. What is the third derivative of g(l) wrt l?\nAnswer: 175800*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 475 is divided by 164.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*s + 0 - 4*s)*(-s**2 - s**2 + 7*s**2).\nAnswer: -10*s**3 - 5*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/116*72\/(-144).\nAnswer: -1\/58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q**(-1\/2))\/q)\/(q\/(q\/q**(-2\/13)*q)))**(-39) assuming q is positive.\nAnswer: q**(-51\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -6\/5 (b) 1 (c) 0.03 (d) -0.1 (e) 5 (f) 3\/10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 27 + 7. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 189 - 272. Let j be (-9)\/(9\/2) - (q - 0). Let h = 88 - j. Solve h = 3*v + 1 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13720)\/5880*(2\/(-7) + 5\/((-105)\/(-4))).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1338596 and 18.\nAnswer: 12047364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 35*k - 19*k - 19*k - 10 to the form i + o*k and give i.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.04533022 and 2.\nAnswer: -0.09066044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 - 1. Let u be g(0). Let z(w) = -2*w. Let x be z(u). Solve -x*f + 6 = -5*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8566857?\nAnswer: 3, 13, 24407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -h + h**3 - 2*h - 6 + h + 2*h**4 to k*h**3 + w*h**4 + n*h**2 + q + v*h and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1\/61 - -117\/305. What is the smallest value in f, -2, 0.03?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**1\/u**(-16))\/(((((u\/((u**12\/u)\/u))\/u)\/u)\/u)\/u*u*u**2*u) assuming u is positive.\nAnswer: u**26","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3\/17 (b) -1 (c) -2\/5 (d) -1.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.459 and 1380.\nAnswer: 1379.541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -17, -2423 in decreasing order.\nAnswer: -10, -17, -2423","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 3*m - 34, 5*m + 5*t - 41 = 49. Suppose l - 18 = -m. Suppose 4*h + 20 + 47 = l*w, -3*w = -4*h - 45. Calculate the remainder when 53 is divided by w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -331.6 + 302.6. Let c = 0.35 + 29.65. Let n = c + b. Which is greater: n or 1.6?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a = 10*a - 263 - 45 for a.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -3\/7, -1\/6, 1\/3, -2\/19, 0.11?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 26*a**2 + 6662*a + 1528. What is j(-256)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 8*u**2 - 4*u - 4. Let g(h) = -h - 1. Let p(z) = 5*g(z) - k(z). Suppose 3*j - c + 0*c = -3, -1 = j + 3*c. Give p(j).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1608, -519, -2646, -4773, -6900?\nAnswer: -9027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 2096?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 p when three letters picked without replacement from {m: 1, p: 19}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1a41392 + -4?\nAnswer: -1a41396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (86800\/(-7440))\/((-7)\/48)?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -75 and -2.07939.\nAnswer: -77.07939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.03316 - -0.53316. What is the closest to 0 in g, -5, 1, -16?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 5 = 33. Suppose -5*w = -5*x + 45, 4*x + 2*w + 3*w - 18 = 0. Calculate the highest common divisor of h and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*l**4 + 10*l**4 + 3*l**2 + 3 + 6*l**2 + 3*l**2 + 1 as u*l**4 + r + x*l**2 + s*l + p*l**3 and give x.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (2 - 3)*4 + (9320 - (-2 + 1))?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(468))\/(2*sqrt(144)))**2.\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -5*o**3 - 4*o**2 + 2*o + 3. Let z be q(-3). Let t be (-1)\/((-291)\/z - (-3)\/1). Let k = -29 + t. Solve 0 = -k*n - 2*s, 0 = 5*n + s + 3*s for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in j**3\/8 + 321*j**2\/8 + 34347*j\/8 + 1225043\/8 = 0?\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.89 + -4. Let b = 2 - 1.89. Let i = y + b. Is i at most as big as -3\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000236728003 to 4 dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -2*l**2 + 5128*l - 1035606 = 0.\nAnswer: 221, 2343","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4.5 - -4. Let n be (3\/(-15))\/((26\/(-5))\/(-26)). Sort n, l, 10\/7 in ascending order.\nAnswer: n, l, 10\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 220, -0.1, 3 in decreasing order.\nAnswer: 220, 3, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*l = 38*l - 251 - 634 for l.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 40 = p, -2*n + 43 = 25995*p - 25990*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 364 is divided by 61?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 985392403?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-2)*(43 + -39)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from efmfffmefimememmmee?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 16 = 0, -3*z = i - 262 + 249 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69710278.\nAnswer: 2, 11, 19, 15161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 3*s + 6 = 0. Suppose s*w = 2, u + u - 4 = 2*w. Let y(k) = k**3 - 4*k**2 + k + 3. What is y(u)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 59.71683l?\nAnswer: 59716.83","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**3 - 8150*w**2 + 3853885*w - 415051960.\nAnswer: 5*(w - 739)**2*(w - 152)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 8*k - 5. Let x(i) = -13*i + 8. Let d(s) = 8*p(s) + 5*x(s). Let z(v) = -2*v. Give z(d(g)).\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*d + 21*d = -5*i - 10, 0 = 3*d + 3*i + 6. Solve f + 2*p + 2 + 3 = d, 3*f + 7 = -4*p for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24047407 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**3 + c + 4 - c**3 + 3*c**3. Suppose -b - 4*b = 10. Let f = b + 2. Calculate w(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l + 4*l + 2*l)*(-91 - 416 - 87)*(0*l**2 - 2*l**2 + 3*l**2 + l**3).\nAnswer: -1188*l**4 - 1188*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 658*o**2 - 7 - 457*o**2.\nAnswer: 201*o**2 - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(513)\/(sqrt(576)*-2))\/((sqrt(36)\/sqrt(12))\/sqrt(4)*4))**2.\nAnswer: 19\/1024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 - (-17 - -13) - -8?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 585 + -578. Solve 0*k = -2*k + t*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 48, 1\/2, -16, -3 in descending order.\nAnswer: 48, 1\/2, -3, -4, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3289.\nAnswer: 11, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3\/5*h**4 - 7\/5*h**3 + 8\/5 + 7\/5*h**2 + 1\/5*h**5 + 18\/5*h = 0 for h.\nAnswer: -1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 + 16. Suppose 6*n = 4*n + 8. Suppose -5*l = -0*l + 5. Sort n, x, l in ascending order.\nAnswer: l, n, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (6 + (4 - 5)) - 3 - -31.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 2 = -4*y + 30, 0 = -4*w - 2*y + 84. Suppose -42 = -3*f - g + 3*g, -4*g = -2*f + w. Calculate the smallest common multiple of 10 and f.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -250411501 - -145?\nAnswer: -250411312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 3*q - 218646, -2*q - 73118 = 5*o - 437549. What are the prime factors of o?\nAnswer: 3, 5, 43, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-26))\/(-11*(-3)\/132).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 464 + -179. Suppose 2*i - z = -3*i - 5*y, y = 4*i - 218. Does 4 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-7 - 5)\/(1\/33*2). Let x be (1186\/8)\/(13 + (-110)\/8). Are x and f equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 h when three letters picked without replacement from {f: 2, p: 2, q: 1, h: 1, r: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35 - 29 - (-34)\/(-48) and -127\/30?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**3 - 6*f**2 - 2. Determine u(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 120\/70 - 2\/(-7). Solve 0 = 4*b - 2*y + y + 3, x*y = -2*b - 14 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 d when three letters picked without replacement from {d: 11, y: 3}.\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j - 162 - 118 = 0. Which is smaller: 34 or j?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8344977 is divided by 2781655.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4554.00005402 - -4554. What is b rounded to 6 dps?\nAnswer: -0.000054","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -144, 97, -11 in descending order.\nAnswer: 97, 5, -11, -144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 45*t**2 - 2240*t - 500.\nAnswer: 5*(t - 50)*(9*t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - ((7 - -1) + 8)) + (3 - -5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-seven quarters of a tonne in kilograms?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*m**3 + 0*m + 14 + 2*m - 2*m.\nAnswer: -2*m**3 + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 - 19*w**2 - 17*w + 30. Let j be y(-18). What is m in 15*m + 2 + j - 5*m**2 - 4 - 5*m**4 - 15*m**3 = 0?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 30\/(-40) - (13\/4 + 0). Let q(c) = -385*c - 11. Is q(f) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -122973*-6\nAnswer: 737838","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:08 PM and 9:30 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 2*r**2. Let u(w) = 2*w + 613. Determine t(u(n)).\nAnswer: 8*n**2 + 4904*n + 751538","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 5 = 7. Let z = 6 + m. Let w = 2 + 3. Solve -4*n + t = w, -4*n - 9 = z*t - 8*t for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.02, -2.5, -2, 0.4.\nAnswer: -2.5, -2, 0.02, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1952*m**2 - 1950*m**2 - 392*m - 271*m.\nAnswer: 2*m**2 - 663*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*l - 2*l + 631 + 1161. Is 64 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3408 = 3*n - 7*n. List the prime factors of n.\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -196 + 195.966. What is o rounded to three dps?\nAnswer: -0.034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(12) + sqrt(36)\/sqrt(3))*4)\/(sqrt(8) + sqrt(8)*-2))\/(sqrt(3) - sqrt(21)\/sqrt(7)*-4 - (sqrt(3) - (sqrt(36) - sqrt(36)*-2)\/sqrt(12))).\nAnswer: -4*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.043 - 1.957. Which is bigger: -0.05 or t?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 236 and 92866?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 5*q - 4)*(4 - 58 - 8)*(4 - 10 - 4)*(0 + 0 + 2) to the form t*q + n and give t.\nAnswer: -6200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(528))\/(6*sqrt(11)*-1))**2 + (-4 + sqrt(363) + 1 + sqrt(363) + -2)**2.\nAnswer: -220*sqrt(3) + 4447\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99 = -3*p - 3*z, -5*p - z = -286 + 105. Suppose -4*d - 1673 = -5*f, -3*f - 2*f - 2*d + 1661 = 0. What is the highest common divisor of p and f?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000552065 rounded to six dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 45021*q**2*u**2 - 3694*q**2 + 187*q*u**2 + q*u + 37*q + 2*u**2 - 836*u + 1 wrt q.\nAnswer: 90042*u**2 - 7388","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 79*z**4 - 13*z**3 - 73*z. Let w(x) = -13*x**4 + 2*x**3 + 12*x. Let h(l) = 6*i(l) + 39*w(l). What is the second derivative of h(k) wrt k?\nAnswer: -396*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*360.\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -40018*c**4 + 433358?\nAnswer: -160072*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 4*i = 20, 4*i + i + 19 = 4*t. Let y(m) = -3*m**3 + 3*m**2 + 8*m - 8. Let z be y(t). What is z rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 27, 224, 553, 1014, 1607, 2332, 3189?\n\"Answer: 66*v**2 - v - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*s**3 + 263 - 225 - 38.\nAnswer: -27*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + 64?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:35 AM and 6:51 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 40, -2\/51?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.1 + -72154.123.\nAnswer: -72150.023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*x - 48, -5*k + 2*x - 30 - 114 = -4*x for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 352 is divided by 4\/(12 + -4)*(-580)\/((-8)\/4).\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 125\/13208952 and -61\/136?\nAnswer: 224552184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -b**4\/3 - 9653*b**3\/3 - 18533633*b**2\/3 + 24061441289*b\/3 + 8026655090 = 0.\nAnswer: -5261, -1, 870","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 1) + -6 + (-36 - (-79 + 35)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 39, 16.75, 0.23, -2 in descending order.\nAnswer: 39, 16.75, 0.23, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 5 - 8)*(-2*y + 10*y + 5*y)*(0 + 1 + 3)*(7 + 1 + 1).\nAnswer: 468*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 49922 - -3015. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 150 + -149. Which is smaller: 6\/49 or x?\nAnswer: 6\/49","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y\/(y**23*y*y))\/y)\/y)\/y**(-7))**(-8\/7) assuming y is positive.\nAnswer: y**(152\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-1))**23*((k**0\/k)\/k)**(-4))\/((k**(2\/5)\/(k*k**(3\/10)*k))\/(k**(-1))**(-3\/14)) assuming k is positive.\nAnswer: k**(354\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 35*o + 6 = -40*o, 0 = -q - 2*o - 6 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -43 + 16. Let w = -15 - r. What is the smallest common multiple of w and 30?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/6)\/((-2)\/(-6)). Let q(s) = 6*s - 15. Let t be q(4). What is the greatest common divisor of t and x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (58 + (2 - 1))\/1. Suppose 49 = 3*u - x. Suppose u = 2*o + 2*o. Calculate the highest common factor of o and 81.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8768665 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/((x**7\/x)\/x*x*x*x))\/x**13*x*x**(-9)*x*x*x**(-2\/3)*x assuming x is positive.\nAnswer: x**(-77\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Do -7\/1046 and 2\/13 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*x + 150 = 234. Which is the closest to 94\/3? (a) 2 (b) x (c) 4 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 6, d: 6}. Give prob of picking 3 f.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -33431, -32872, -31353, -28394, -23515, -16236?\n\"Answer: 80*t**3 - t - 33510","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**2 + 13*q + 9. Let v be i(-10). Let w = -36 + v. Let j = -33 - w. Calculate the least common multiple of 8 and j.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 50 + -36. Let c = s - 14. Let d be c - ((-4)\/42)\/(-1). What is the second smallest value in 2, d, 0.8?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 621 + 5*w**3 - 621.\nAnswer: 5*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6.064 + -6. Which is greater: f or 0?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37007707?\nAnswer: 11, 31, 41, 2647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -621, -743, -865, -987?\n\"Answer: -122*h - 499","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -8*z - 5. Let r(y) = -85*y - 18. What is the remainder when r(-2) is divided by n(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a meter in centimeters?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**2 + b - 1. Let n(i) = i**2 + 2*i + 2. Let y(p) = -n(p) - 2*z(p). Let a be y(5). Suppose -a*h + h = -16. Does 4 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -575 + 577. Solve -2*c = -m - o*m + 6, -5*m = 5*c - 10 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4 and 575?\nAnswer: 571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 7151 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the third derivative of -t**4\/24 + 5*t**3\/6 - t**2. Suppose 2*f = 4*q + 3*f + 27, 0 = -3*q - 3*f - 27. What is the tens digit of g(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 489 - 967 - 11*d + 478.\nAnswer: -11*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, l: 1, p: 7, z: 1}. What is prob of picking 1 p, 1 l, and 1 g?\nAnswer: 21\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 + 80 = 4*b. Suppose 8*j - 1260 = -468. What is the least common multiple of j and b?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 1454 = 5*q, -4*t + 84 - 2125 = -7*q. What is the lowest common multiple of q and 429?\nAnswer: 41613","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*v**3 - 782 - 10*v**3 + 782.\nAnswer: 3*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 4) in base 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 88\/10*20\/8. Suppose 0 = 2*y - 122 + o. Suppose 3*d = -2*d + y. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*o = -27 - 9 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.6 (b) -0.1 (c) -2 (d) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*g**3 - 4*g**3 + 0*g**3 - 4*g**3.\nAnswer: -4*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -45 + 45. Let s = -280792\/2101 + 1470\/11. Is s < w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 105\/8, 3, 1607?\nAnswer: 1607","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3*f - 3 + 2*f)*(-11*f**3 + 3*f**3 - 23*f**3).\nAnswer: 31*f**4 - 31*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 9, 0.2, -21\/2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + (-21 - (18 + -4 + -11 + -55))?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -2*c**2\/15 + 2*c = 0?\nAnswer: 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a century in months?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -212752465 times 0.3\nAnswer: -63825739.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 14 + 476?\nAnswer: 48a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/7 - ((14600\/(-35))\/8 + 126\/9)\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*s - 11*s - 6. Let q = -13 - -12. Let d be s\/(-4)*q\/21. Which is greater: d or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 448 + 9*i**2 - 448. Let j(p) = 7*p**2. Give j(t(m)).\nAnswer: 567*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b + 30. Give z(-2).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -18*((-52)\/(-325))\/(((-416)\/(-325))\/16)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, -2946, 8, 0?\nAnswer: -2946","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p**3 + 1655490*p**2 - 9932967*p + 14899464 = 0. Calculate p.\nAnswer: -1655496, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the first derivative of 7*u**4 + u**3\/3 - 2*u**2 + 9*u - 23. Is n(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the second derivative of -y**3\/6 - 4*y**2 + 9*y. Let h be z(-5). Let g be (-1 - h)*(-37)\/2. What is g rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f + 15. Let q be g(9). Let v(k) = k - 5. Let j be v(q). Let x(n) = -3*n**3 + 2*n - 1. Determine x(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20928.2 decades in centuries?\nAnswer: 2092.82","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 349 + 431*f - 220*f - 61*f**2 - 211*f - 345.\nAnswer: -61*f**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 213567986773 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 + 2220200011102121?\nAnswer: 2220200011102121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 s when two letters picked without replacement from bsp?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -116*d**3 + 15*d**2 - 27*d + 17. Is 185 a factor of f(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the second derivative of -2 + 0*z**6 - 149\/12*z**4 + 0*z**3 + 137\/42*z**7 + 0*z**2 + 0*z**5 - 88*z. Find the third derivative of o(n) wrt n.\nAnswer: 8220*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 9859011, 9859015, 9859021, 9859029, 9859039, 9859051?\n\"Answer: i**2 + i + 9859009","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 124, 924, 3072, 7240, 14100, 24324?\n\"Answer: 112*m**3 + 2*m**2 + 10*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 1 - (18 + -29 + 16).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*h + 11*h = 39 + 16 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 612390 to the nearest integer?\nAnswer: 783","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6*f**2 + 14*f**2 - 20*f**2 + 0 - 14 wrt f.\nAnswer: -24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 511605 is divided by 53?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -457, -1886, -3303, -4708?\nAnswer: -6101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3c4 (base 14) to base 5.\nAnswer: -11020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*l**2 - 3*l + 3*l**2 + 21*l + 4*l**2 wrt l?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 z when three letters picked without replacement from zzxhzzwhhhhzhzsxizs.\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -3*j**2 - 42*j + 8. Determine n(-14).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14886\/4135*110\/12?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -80 - -82. Suppose -3*k + 4 - g = -2*a, a - k = 0. Solve 1 + 3 = -3*i - a*u, -u = i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 106 = -3*u + 2*u, -584 = 5*u - 2*a. Let g = u - -119. Solve 5\/6*m**g - 5\/6*m - 7\/6*m**4 - 1\/3 + 3\/2*m**2 = 0 for m.\nAnswer: -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3360)\/1920*(-4)\/98?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w - 7*w**2 - w + 3*w**2.\nAnswer: -4*w*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11? (a) 1\/6 (b) 0.125 (c) -0.1 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 0*w - 17413*w**2 + 1 - 17415*w**2 + 34827*w**2 - w. Let k(v) = -66*v**2 - 22*v + 22. Calculate k(p) - 22*x(p).\nAnswer: -44*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 1938 = -722. What are the prime factors of v?\nAnswer: 2, 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3057, 3426, 3795, 4164?\nAnswer: 4533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**2 + 4*o + 3. Let n = -12 - -9. Let z be d(n). Solve 0*p - 3*p = z for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -2\/1244089?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.08? (a) 0.4 (b) -0.4 (c) 3\/5 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 18*d**3 + 8*d**2 + 4*d - 4. Let o(k) = k**3 + k**2 + k - 1. Calculate -a(p) + 4*o(p).\nAnswer: -14*p**3 - 4*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 2*n**2 + 10110*n + 2511532 = 0.\nAnswer: -4793, -262","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*c + 4*c - 2*c)*(-2 + 3 + 4) + c + 4*c + 0*c + (2 - c - 2)*(5 - 3 + 0) to i + w*c and give w.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -4*k**3 - k**2. Let q be u(-1). Suppose 3*a + 5*t = 16, 3*a + q*t - 4 = 4*t. Suppose 2 = a*h - 4. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(-8)*(4 + 2). Let g = -22 + 26. Which is the second smallest value? (a) -2 (b) q (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.7+-0.12013016\nAnswer: -0.82013016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1900 + 2 - -4)\/(-3). Let m = -636 - y. Sort 1\/3, m, -0.031 in decreasing order.\nAnswer: 1\/3, -0.031, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by -8\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 34 (b) -0.1 (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 3*v + q, q + 8 = -0*v + 3*v. Calculate the greatest common factor of 8 and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 5*l - l = -2344, 5*v + 3*l = 5808. List the prime factors of v.\nAnswer: 2, 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 29 - 15. What is the lowest common multiple of s and 2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1712782 times -5?\nAnswer: -8563910","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 189.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 - b**2 + 1. Let r = 52 - 58. Let i(m) = -17*m**3 - 6*m**2 - 10*m + 6. Let c(y) = r*o(y) + i(y). What is the second derivative of c(l) wrt l?\nAnswer: -66*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1088*y**2 + 77?\nAnswer: -2176*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 39.1982957 to 3 decimal places.\nAnswer: 39.198","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the first derivative of 190 - 2\/5*q**5 - 2*q**3 + 15\/2*q**2 + 0*q**4 - 28\/3*q**6 + 0*q. What is the third derivative of b(v) wrt v?\nAnswer: -3360*v**2 - 48*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-1*sqrt(2112))\/(sqrt(11) - 2*sqrt(1331)).\nAnswer: -3 + 8*sqrt(3)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(2) + sqrt(2) + 3)**2 + (-6*(sqrt(2) + -3) + sqrt(2) - sqrt(2)) + 4 - -6*(sqrt(18) + sqrt(180)\/sqrt(90))\/sqrt(9)*-6.\nAnswer: -30*sqrt(2) + 56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b - 17*b**3 - 16*b**3 + 19*b**3)*(19*b + 8*b**2 - 19*b).\nAnswer: -112*b**5 + 16*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 55*z**3 + 3*z**2 + z - 7003 wrt z.\nAnswer: 165*z**2 + 6*z + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -27 - -26.38. Let m = -0.40849 + 1.02822. Let p = o + m. Round p to four decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 215, 2\/3, -0.2, 0.3, 0.2831?\nAnswer: 215","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 35*g**3 + 7*g**2 - 35*g + 26. Let p(v) = 13*v**3 + 3*v**2 - 12*v + 9. Let z(m) = 3*k(m) - 8*p(m). Determine z(4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - -1. Let o be ((-2)\/(-3))\/((-30)\/(-18)). What is the nearest to p in -4, 0.3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (10\/(-4))\/(-5)*-14. Suppose -4*m = -4*d + 16, -5*m - 12 = -3*d - 0*m. Suppose -3*u - 36 = 5*o, 4*o - u - d*u = -14. Which is greater: x or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -16*a - 205. Let w be i(-13). Solve -7*f + 8*f = -w for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + -131?\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1ba - 8?\nAnswer: 1b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13373 + 27*s**2 - 282*s**2 + 9*s - 13373 - 205*s**2 to the form q*s**2 + c*s + z and give q.\nAnswer: -460","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -8 + 0*w - 2*w + 5. Let p(f) = 5*f + 10. Let v(q) = 6*p(q) + 17*r(q). Find the first derivative of v(t) wrt t.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - 31 - 9. Solve 30 = -4*t + 5*d, -2*t - 4*d = -3*d + b for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -80784 by 24.\nAnswer: -3366","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 108539 is divided by 108519?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 221707 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6*10\/45)\/(-2)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8*17891.\nAnswer: 143128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*d**2 + 44*d + 24 = 0. What is d?\nAnswer: -2, -3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 217 = 3*g, 4*b - g = g - 878. Let d be -3 - (-4 + b\/(-325)). Let z = d - -1\/13. Sort -5, z, -4\/5 in decreasing order.\nAnswer: z, -4\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 118 a factor of 3304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -2*t + 6, 3 = -3*u - 2*t + 5. Suppose 2*h = 3*z - 8, u*h = 2*z - 0*h. Solve x = -m - 7, x + 3 = z*m + 21 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 + g + (-3*g + g + g)*(5 - 6 - 1) + 0*g + 4*g + 0*g + (-4 + 3 + 0)*(2*g + 0 + 0).\nAnswer: 5*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 3*a - 9 = 0, 15 = -4*v + v - 3*a. Let y = v - -13. Solve -3*l = -t + 15, -4*l + 2*t = 5*t + y for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-40)*8*8\/(-16)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 + 9*t**2 + 10*t - 24. Let q be l(-7). Suppose -2*r - n - 4219996 = -5*n, 5*r + q*n + 10550004 = 0. Round r to the nearest one hundred thousand.\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the first derivative of 23*z**5\/60 + 29*z**4\/12 - 21*z**3 - 28. Let y(j) be the third derivative of u(j). Find the first derivative of y(o) wrt o.\nAnswer: 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + -1221212100022222?\nAnswer: -1221212100100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -114986*o + 3564587. What is t(31)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*4*(4 + (sqrt(108))**2 + sqrt(3)) + (sqrt(147) + -1)**2*-2 + -2 + 1.\nAnswer: -745 + 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 182355584 divided by 2849306\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8692204, 8692209, 8692214?\nAnswer: 8692219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/(-1 - (-3)\/1). Let f = s - 1. Let n(k) = 3*k**3 + k**2 + 2*k + 1. Give n(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 3. Solve -d = -3*m + d + 1, 5*m - 2*d - 7 = i for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 2*w**2 - w. Let p = 3 + -2. Let r be h(p). Let m(a) = a**2 - 15*a + 2. Let n be m(15). Solve r = -n*f - 5 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16 - -18 - (-3 - -1) - 4\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4, -5, 5, 0, 2, -12144 in descending order.\nAnswer: 5, 4, 3, 2, 0, -5, -12144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -15500, -15484, -15432, -15326, -15148?\n\"Answer: 3*c**3 - 5*c - 15498","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 761 + -739. What is the remainder when 2067 is divided by r?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86 + 22 = -8*o. Suppose -o = -m - 5*z, 2*m + 4 = 4*m - 2*z. Sort m, -14, -4.\nAnswer: -14, -4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 + 59)*132\/10. Let i = n - 347. What are the prime factors of i?\nAnswer: 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -5*j**3 + 3*j**2 - 3333*j - 9989. What is d(-3)?\nAnswer: 172","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3\/9 - 70*a**2\/9 - 3226*a\/9 + 366.\nAnswer: 2*(a - 61)*(a - 1)*(a + 27)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-5)\/i**12)\/(i**(-2\/13))**(-4\/9) assuming i is positive.\nAnswer: i**(-1997\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22942?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -5245*l + 115389. Let b be r(22). Let x be (-3)\/(-2)*(-16)\/(-6). What is the second smallest value in -0.11, x, b, 1?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2, 5, 16, 31, 50, 73, 100?\n\"Answer: 2*w**2 + w - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x + 3*d = 3*x + 2168, -4*d = 5*x - 2711. What are the prime factors of x?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.5844049, -1\/4, -2\/27?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.0632 + -0.3648. Let c = -0.728 - b. What is the nearest to 1\/2 in -0.02, c, 2\/113?\nAnswer: 2\/113","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 3272505?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -2*g**3 + 33*g**2 - 2790*g + 41353. Calculate v(15).\nAnswer: 178","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes before 7:23 PM?\nAnswer: 6:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4037941 to the nearest integer?\nAnswer: 2009","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - 22 - 1 - (2 + -7 + (6 - 23)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0*(0 - (-4)\/8). Let d be k*-2*(-2)\/(-8). Suppose d*m + m = 1693. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-934*b**2 + 3178*b**2 + 1561*b**2 + 2228*b**2)*(-3*b**2 - 3*b**2 + 4*b**2) to r + u*b**2 + k*b + f*b**4 + z*b**3 and give f.\nAnswer: -12066","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/9, -1\/4, -0.1, -5, 24\/11, 0.13?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -125\/823 + 133373\/330846. What is the common denominator of 61\/2 and s?\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/172 and 83\/1054.\nAnswer: 90644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 204.73348 - 0.21048. Let f = k - 204.5119973. Let d = 0.011 - f. Round d to six decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 4*(3 + sqrt(128) + -1 + (sqrt(128) + 1 + -4 - sqrt(128))))**2.\nAnswer: -128*sqrt(2) + 2052","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -359 + 300 - (-27 - 1) - 31.\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.116 - 0.071. Let k = s + 1.955. What is the nearest to 2\/5 in -1\/9, k, 1?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -957, 0.4, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.7793 + -0.0793. Let g be (-1)\/1 - (-2 - 0). What is the nearest to 2\/3 in h, g, 0.5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -35\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -1 + 0*c - 1 + 4*c**2 + c**3 - 1 + 3*c. Let f be (3 + (-7)\/2)\/(1\/6). Determine k(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19 + 9. Let x = s + 11. Put -3, x, 3 in increasing order.\nAnswer: -3, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 2*y**2 + 2*y - 7. Let n be f(3). Let v = n + -17. Let m = -5 - 0. Which is the nearest to -1? (a) m (b) -2\/3 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -131835964, -131835962, -131835960, -131835958, -131835956, -131835954?\nAnswer: -131835952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-3)\/(-15))\/(1\/(-1)). Let z = 0 - 0.1. Which is greater: r or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(1080))\/(sqrt(6) + sqrt(54)*4) + (sqrt(7200)*2)\/(-5*(2*sqrt(10) + sqrt(10))))**2.\nAnswer: 1936\/845","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 9 = 3*l, 2*p = 266*l - 268*l + 14 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -452 - -1441. Calculate the highest common factor of 23 and g.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1373 divided by 807\nAnswer: -1373\/807","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 2*p + 5*u, 5*p = 4*u - 73 + 82 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 8*j - 378. Let d be k(43). Does d = -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -398 - 292 = -69*k. Suppose -l + 18 = l. Suppose -k*q + 12 = -l*q. What is the remainder when 44 is divided by q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvtu when four letters picked without replacement from bafvatvufbtvvbtf?\nAnswer: 3\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + -22 + -1 + -3 + -11.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of -q**3\/3 - q**2\/2 + 14. Let x(l) = 5*l**2 + 6*l + 3. What is -6*j(o) - x(o)?\nAnswer: o**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 397*k - 309*k + 114 - 466 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1602 - 2802. Let y = s - -14419\/12. What is the common denominator of y and 169\/30?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 39 + -6 - ((-7 + 10 - -12) + -12) - 5?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the second derivative of g**3\/6 - 2*g. Suppose 0 = c + 5*r + 13, c - r = -c + 7. Let h(f) = 3*f**2 - f**2 + 0*f**c. Calculate k(h(a)).\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the first derivative of -i**4\/2 - i**3 - i**2 - 3*i - 27. Calculate b(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5.1972 + 1.1972. Let m be (-2)\/(-4)*(-4)\/7. Which is the second smallest value? (a) w (b) m (c) -1 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/5 and 31\/4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 32*m + 8. Let j be i(-6). Let r = j - -63. Let x = 169 + r. Is 16 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*b + 18*b - 2 = -2*t, -2*b + 1 = t. Suppose -n - 1055 + 2193 = b. List the prime factors of n.\nAnswer: 2, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1512144 by -12.\nAnswer: -126012","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -6\/19, -19.12, -0.12, 0.8 in increasing order.\nAnswer: -19.12, -6\/19, -0.12, 0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**3 - 115*g**2 + 660*g - 900.\nAnswer: 5*(g - 15)*(g - 6)*(g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2986 + -3017. Which is the closest to -0.1? (a) t (b) -5 (c) -4 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -135 - -136. Let f = -5 - -4. Which is the closest to l? (a) f (b) -1\/6 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 44*w + 8*w - 104. Let c be 2\/(-3) - (-33)\/9. Solve p - w*x + 2 = -x, 0 = p - c*x + 10 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -130\/85171 at least as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6\/17 in -182, -0.5, 1, -1, 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -15*a**2 - 10*a + 19. Let g(v) = 8*v**2 + 6*v - 9. Let y(o) = 11*g(o) + 6*n(o). Give y(7).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 115 + 11 + 3*t**3 - 4*t**3 - 127*t.\nAnswer: -t**3 - 127*t + 126","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*n**3 - 7*n**3 - 54 + 54 + 8*n**3.\nAnswer: 5*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - (-1 - (-6 + 3))) + (-6 - -23).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 54*x**3 + 7*x**2 + 6*x. Let z(f) = -27*f**3 - 3*f**2 - 3*f. Calculate -3*w(y) - 7*z(y).\nAnswer: 27*y**3 + 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 - 5)*(-3*m + 11*m + 3*m) + 0*m + 5*m - 3*m.\nAnswer: -31*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 3*s - 2 - 3, y - 2*s = 0. Find the third derivative of -5 - y*a**3 + a**2 - 7 + 12 wrt a.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5)\/(-4)*4\/10. Let v = -1167.7 + 1087. Let z = -81 - v. Which is the third smallest value? (a) z (b) w (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zeezzeeeez. Give prob of sequence eze.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -13\/8*n - 3\/2 - 1\/8*n**2 = 0?\nAnswer: -12, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -433\/430, 3\/4, 1\/6?\nAnswer: -433\/430","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 140683177 times -2\nAnswer: -281366354","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27\/4 of a litre?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 160 divide 254560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13878*p**2 - 2559*p - 3 wrt p?\nAnswer: 27756","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(77)\/((sqrt(99) - sqrt(99)*-3)\/sqrt(9)).\nAnswer: sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 4*q**2 + 16*q + 2. Let t(w) = 6*w**2 + 118*w + 4. Let u(o) = 3*o**2 + 63*o + 2. Let v(j) = -6*t(j) + 11*u(j). What is 4*n(z) + 5*v(z)?\nAnswer: z**2 - 11*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 762, -2, -0.5, -154?\nAnswer: -154","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(3 + ((2*(sqrt(76) + sqrt(19)) + 1 - (3 + sqrt(19) + 0 + sqrt(1216) + 1*sqrt(1216) + sqrt(1216) + sqrt(19))) + 4)**2).\nAnswer: -400*sqrt(19) + 38035","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 103103231 - 10?\nAnswer: 103103221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in four fifteenths of a hour?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 218547?\nAnswer: 3, 7, 3469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6989154 - 1173*f - 2200*f + 6989153 + 3775*f**4 wrt f?\nAnswer: 45300*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m - 2*u + 81652, -3*m - u + 47216 = -14023. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -14\/9, -0.032, -68?\nAnswer: -0.032","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -3*b**2 + 6*b. Suppose -3 = -2*f + 9. Let o(a) = 47*a + 0*a**2 + 2*a**2 - 85*a + 33*a. What is f*o(z) + 5*x(z)?\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (24193*i + i**3 - 24142*i + 0*i**3)*(i - i + i) to the form k*i**3 + n*i**2 + o*i**4 + m + q*i and give n.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*d - 44*d - p + 8 = 0, 3*p - 16 = 4*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1101111010 (base 2) to base 12.\nAnswer: -622","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:37 AM and 2:18 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10120\/(-495))\/((-8)\/(-360)*-10).\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a millennium in decades?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -2*r**2. Let j(x) be the second derivative of 4*x**3\/3 - x**2\/2 - 31*x. Give j(z(f)).\nAnswer: -16*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -51 in 2\/7, -2\/7, 1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1155 + -2605. Round s to the nearest 100.\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 183*x**2 + x**6 - 380*x**2 + 184*x**2 wrt x?\nAnswer: 120*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14685, -29306, -43899, -58464?\nAnswer: -73001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1970468 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c = 7*f + 34, 55*f + c - 201 = 49*f - 228 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 440? (a) 0 (b) -2 (c) 2\/9 (d) -9 (e) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*s + s + 110. Let c = s - -552\/5. Let n be (0 - -1)*(1 - 4). Is c at most as big as n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10081 - -18042. What are the prime factors of g?\nAnswer: 19, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -116 + 24*w - 113 + 227 + 141*w**2 - 24*w to v + r*w**2 + h*w and give r.\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13*17.6.\nAnswer: 228.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*q**5 - 1434*q**4 + 2176*q**3 + 5766*q**2 + 2160*q = 0. What is q?\nAnswer: -360, -1, -1\/2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -28*m + 110. Let w be d(9). Is w at most as big as -144?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13504 (base 7) to base 10\nAnswer: -3679","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 200*g - 406*g = -208*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16 - 32. Let a be (-130)\/45*1\/((-4)\/(-291)). Let c = a + 202. Find the common denominator of s and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-5)\/(-3))\/((-10)\/(-18)). Is 2.9 > y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h = m + 14, -m - 21150 = -2*h - 21142 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13)\/((-182)\/4)*-7.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**2 + 12*m - 89. What is the tens digit of q(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 32.6 + -30. Let m = a + -3. Suppose 4*i - 6 - 10 = 0. Put 2\/3, m, i in decreasing order.\nAnswer: i, 2\/3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4203*r - 441 = -4154*r for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 - 2*b**2 + 3*b + 2. Let i be g(-3). What is the remainder when 69 is divided by 2 + i + 12 + 2?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (24804\/336)\/39 + 14\/(-8)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*j + 259 = 61. Let x = -3 - -6. Let h be 87600\/j*(x + -1503). What is h rounded to the nearest one million?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 58 - 58.07. Put c, 2, 1 in increasing order.\nAnswer: c, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (942 - 35*m - 942)*(11 - 2 + 2).\nAnswer: -385*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 43651\/15078 - -7\/718. Let a = v + -7\/3. What is the smallest value in a, 0.5, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 3*d + 5. Suppose d*b = 109 - 119. Suppose -4*f + 9*f = c - 7, 2*f - 8 = -5*c. What is the smallest value in b, -4, c?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -349.04 + 6.\nAnswer: -343.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 51200 (base 6) to base 11\nAnswer: 50a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**2 - 1542*d + 4. Let r(g) = -3*g. Determine r(w(s)).\nAnswer: 3*s**2 + 4626*s - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -17844*x + 1837937. Calculate u(103).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((-3)\/18)*2\/(-3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -22.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 + -11. Suppose 0 = z*c + c. Suppose -5*h - 5*n - 10 = c, 3*h - n - 22 = 3*n. Solve -h*v + 0*v = 2 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4510 and 53570.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 - 11*n**2 - 13*n + 17. Let h be a(12). Find the third derivative of -10*t**h - 2*t**2 + 14*t**6 - 14*t**2 + 10*t**5 wrt t.\nAnswer: 1680*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -c**4 + 151*c**3 - 1298*c**2 + 2840*c = 0.\nAnswer: 0, 4, 5, 142","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23\/(-138) + 4539\/18 is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1521, 1586, 1751, 2064, 2573?\nAnswer: 3326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-41)\/(1640\/(-100))*1*8\/50\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/j**(-2\/49))\/j)\/j*j*j)**(-22)*(j*((j**(13\/7)\/j)\/j)\/j)\/j**(16\/7) assuming j is positive.\nAnswer: j**(-1241\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/3, -114, 5, -25 in descending order.\nAnswer: 5, -5\/3, -25, -114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 3*g = d - 5, -4*g = 0. Solve -2*o = 2*n - 18, -5*o + 2*n + d = -3*n for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (788\/(-24))\/((-3)\/(-6))*-3. Let j = z - 117. Is j a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the second derivative of -15*r - 1\/39*r**3 + 0*r**2 - 1\/78*r**4 + 0. Factor c(h).\nAnswer: -2*h*(h + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the third derivative of 4*s**7\/105 - s**6\/60 - s**5\/120 + s**4\/192 - 2*s**2. Solve v(q) = 0.\nAnswer: -1\/4, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14*l**3 - 77*l**3 + 218*l**3 + (0*l + l + l)*(-5*l**2 + 0*l**2 + 3*l**2) + 3*l**2 - 3*l**2 + 2*l**3 + (1 - 2 + l**2 - 3)*(-2*l - l + 4*l).\nAnswer: 126*l**3 - 4*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111538 is divided by 37178.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (18 - (-870)\/(-45))*3\/14\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 2*f**2 + 7*f - 7. Let z be s(7). Let j = z - 650. Is 8 a factor of 2\/(-7) + j\/(-21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 6 - 7 = -v, a - 5*v + 17 = 0. Suppose 371 = 2*g - 3*y, -3*g + a*y + 402 + 159 = 0. What is the least common multiple of g and 6?\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 522410.4m?\nAnswer: 522410400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 4:49 PM?\nAnswer: 3:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 16 = 4. Let v be (-4)\/(-10) + 52\/20. Suppose c*a = v*a. Solve 4*w + 8 = -4*o, -3*w = o + 2 - a for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) -0.4 (b) -0.2 (c) 1.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 847369150 to the nearest integer?\nAnswer: 946","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1656500 less than 1239784?\nAnswer: 2896284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in three eighths of a tonne?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -50479 + 83889. What are the prime factors of x?\nAnswer: 2, 5, 13, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((9 - 25 - 11)*(3*x**2 + 9 - 9) - 9 + 9 + 5*x**2)*(-1 - 3*x**2 + 1).\nAnswer: 228*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31 is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 304 and 456?\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -38*o**5 + 135*o**2 - 4*o. Let b(x) = 114*x**5 - 404*x**2 + 11*x. Let d(z) = -4*b(z) - 11*s(z). What is the third derivative of d(h) wrt h?\nAnswer: -2280*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 17*h**2 + 52*h - 11. Let y be a(-6). Calculate the greatest common divisor of y and 187.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*m*x + 7*m - 1080158*x + 213253 wrt x?\nAnswer: 2*m - 1080158","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -e + -36?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the third derivative of m**5\/60 - 2*m**4\/3 - 4*m**3\/3 - 862*m**2 + 2*m. Give g(15).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-9)\/(-6))\/(-3)*0. Suppose w = f - 0*f. Solve 8*k - 3*k = f for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18) + 2 + (-1*sqrt(8)\/sqrt(4) - sqrt(2) - sqrt(2)) - (sqrt(98) + -1)*1)**2.\nAnswer: -42*sqrt(2) + 107","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 + 14*z**2 - 3*z - 14. Let k = 681 - 694. What are the prime factors of h(k)?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 73270 and 73270.\nAnswer: 73270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-42)\/(-18) - (12\/9 + -1). Suppose -5*x - 3*r + 20 = -x, x + o*r = 5. Suppose -5*u + x*n = n - 276, -16 = 4*n. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of (-288)\/18*(1 + -2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 - -713.68.\nAnswer: 713.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 274324043?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -66176 by 4.\nAnswer: -16544","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2168 and 2196997.\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 2 - 3 = 0. Suppose -25 = -5*o + v, -14*o - 5*v + 37 = -12*o. Let f(r) = -33*r + 203. Let m be f(o). Sort i, -4, m.\nAnswer: -4, i, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*n**2 - 2*n**4 + 0 + 3 - 8*n + 5*n**2 - 2 to c*n**2 + u*n**3 + r*n + m + a*n**4 and give r.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4478 - 2278. Suppose t = 5*u + n - 1782, -2*u = -4*n - 1606. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128*c + 197*c + 170*c = -3107 for c.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 846 - 1598 = f - 4*y - 848, -94 = -12*f + 2*y for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 663380 = 41*y + 173061. Is 264 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*s)*(-282 - 25 - 71 + (-2 + 3 - 3)*(-1 - 1 + 1)).\nAnswer: -752*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 k when four letters picked without replacement from {j: 3, k: 11}.\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 34 = -2*z, -2*z + 125 = 3*z + 2*k. Let u = 135 + -124. Suppose -9*y - 214 = -u*y. Calculate the remainder when y is divided by z.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.852 - 0.85202431. What is d rounded to five decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*14\/(-105)*3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1*(2\/2 + -4) + -1. Suppose 0*m + 4 = 2*m. Suppose 3*d + 0*z + 4*z = 36, d - 22 = m*z. What is the greatest common factor of p and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + p + 8, -4*p + 8 + 8 = 0. Let t be (-7 - (-3 - 0)) + i\/2. What is the least common multiple of 1 and (-7)\/(-2 + t\/(-1))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8055*f**5 - 29*f - 20.\nAnswer: 161100*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 10:59 AM?\nAnswer: 12:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 5*g - 2*g. Suppose 0 = 3*c + 58 - 64. What is the greatest common factor of g and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*w + w - 5*v + 40, 4*w = -v + 23. Suppose w*i + s + 20 + 252 = 0, -4*i = -3*s + 210. Let l be (-3)\/4 - 1*i\/8. Solve -l*p = -p + 25 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -216 = x - 43. Let i = 527\/3 + x. Factor 2\/3*k**2 + 8\/3*k + i.\nAnswer: 2*(k + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18 - 8. Let v(t) = 0*t + 2*t - 2 - 13. List the prime factors of v(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 2)*(-1 + 1 + 2*y)*(2363 + 2507 + 603 - 1160).\nAnswer: -17252*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*u**4 - 40*u**2 + 2*u?\nAnswer: 24*u**2 - 80","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + 15 - 3. Let l be 6\/8 + r\/(-4). Let p be 3 + l\/5 - 3. Sort 0.5, p, -3.\nAnswer: -3, p, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (4 - 3 - 4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + f = 93. List the prime factors of f.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 10 = -k. Suppose 0 = -k*p + p - 3*q + 15, 0 = 5*q - 15. Let s be -1*(-4)\/(8\/p). Solve 2*t + 3 = -v, s*v - 4 = -1 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, -10, 2, -4\/5, -333?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000072859 to 5 decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 52 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13107361?\nAnswer: 37, 354253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -65 divided by -26470?\nAnswer: 13\/5294","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 422241 rounded to the nearest 10000?\nAnswer: 420000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 34*k**3 - 5*k**2 - 2*k + 5. Let n(j) = 17*j**3 - 2*j**2 - j + 2. Let l(a) = 2*d(a) - 5*n(a). What are the prime factors of l(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2780 and 540.\nAnswer: 75060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -225.256 + 0.256. Let i = v + 220. What is the closest to 2\/23 in 0.3, i, -4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 e when two letters picked without replacement from hkkghgkeksktteegtkk.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -431213.517 to the nearest one hundred.\nAnswer: -431200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 712219?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kokkkooooooooo. What is prob of sequence koko?\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = a - 4289996, -a - 3*b + 5560297 = 1270285. Round a to the nearest 100000.\nAnswer: 4300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 4:08 PM?\nAnswer: 9:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 21 + -18 + (0 - -2 - 0)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -265 - -274. Let k(v) = 5*v + 8. Let b be k(6). Suppose -2 = -5*n + b. Is n <= f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 193.57 times 0.0025?\nAnswer: 0.483925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes before 8:21 AM?\nAnswer: 3:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five eighths of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * -15.188.\nAnswer: -6.0752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002205 to 5 dps.\nAnswer: 0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -145b85 - -1?\nAnswer: -145b84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -242, -472, -712, -956, -1198, -1432, -1652?\nAnswer: -1852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3745, 7212, 10677, 14140, 17601?\nAnswer: 21060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 2*q + 28 = -5*b, -5*q - 47 = 3*b. Let w be b\/(-3) + (3 + 16 - -4). Let a = w + -29. Put -1, 3, a, 4 in decreasing order.\nAnswer: 4, 3, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.47 + 13.03. Round z to 0 decimal places.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 714 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -928\/5 - 926\/5*a + 2\/5*a**2 = 0. What is a?\nAnswer: -1, 464","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2\/18943 + -681974\/246259. Find the common denominator of w and (161\/(-154))\/((-1)\/(-2)).\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5 - (-3 - (-9)\/3). Suppose 0*z = z - 2. Let r be z\/(-7) + 25\/35. Which is the second smallest value? (a) d (b) r (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/6 - (-75)\/9. Suppose -f = 2*x + 18. Let i = x - -32. Solve 4*s + i - 3 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 229 - 184. Suppose 0 = -h - n - 1, h = 2*n - 1 + 3. Let f be h + (2*y)\/5. What is the highest common factor of f and 180?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -i + 2*u - 20, 0 = 5*u - 15. Let w be (112\/70)\/(2\/i). Let y be w + 3 - -4 - 1. Solve h + h = -y*l - 4, 0 = 3*h + l + 2 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 107310?\nAnswer: 2, 3, 5, 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -63 + -234 + 239 + (7 + 2 - 0 - 2).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*i + 248404 = 14*i. Is 31 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -1\/4 - 3\/4*a + 3\/4*a**4 + 1\/2*a**3 + 1\/4*a**5 - 1\/2*a**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 9*z - 11. Let x be p(8). Let r = -38 + 54. Suppose -5*a + x = r. What are the prime factors of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 2*a. Let d(p) = -8*p**2 + 4*p**2 + 3*p**2. What is d(b(m))?\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -10*(-8)\/(-240) - (-14)\/6. Let y be 2*-5*4\/(-10). Find the first derivative of 6 + 9 + v - y - d wrt v.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(243)\/(-3*sqrt(225) + sqrt(225) + sqrt(225) - sqrt(225)))\/((sqrt(2304)*2)\/sqrt(4)).\nAnswer: -sqrt(3)\/160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5228.\nAnswer: 2, 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -72 or -3\/13?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 803, 1582, 2365, 3152, 3943, 4738?\nAnswer: 5537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 177 and 3363.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 3*p**2 + 9. Let h(s) = 2*s**2 + 4. Suppose -3*v + 37 = 2*r + 74, -v - 8 = 5*r. What is v*h(y) + 6*d(y)?\nAnswer: -8*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 514620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 2*g + 12 = -0, 5*k = 2*g + 9. Suppose 0 = 2*h + k*h. Solve h = -4*v + 6 + 6 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/(-189)*(3\/(-3))\/((-19)\/171).\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + -3)\/((-77)\/(-14)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 515?\nAnswer: 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10408, -20798, -31142, -41416, -51596?\nAnswer: -61658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -256*a**3 - a**2 + 591*a wrt a.\nAnswer: -1536*a - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes after 7:10 AM?\nAnswer: 6:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/7 greater than 3732703?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11139 - 11139.062. Which is smaller: 0.122 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4948992.9*4.\nAnswer: -19795971.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 15, 2, 194 in decreasing order.\nAnswer: 194, 15, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the first derivative of 2\/5*o**5 + 13*o**4 + 112*o**3 + 116 - 338*o - 26*o**2. Factor k(d).\nAnswer: 2*(d - 1)*(d + 1)*(d + 13)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*z + 0*z + 10*z - 5*z to the form k + i*z and give i.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 2*n - 25 = 4*n, n = 3*h - 14. Suppose -9 = 5*y - h*m - 36, -4*y - 4 = 4*m. Solve 4 = -3*l - 4*p, l + 5*p + 28 = y*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - y**4 - 1 + 74 - 72 + 5*y**4 + 3*y**4 - 1 + 1 + 3*y**4 + (2*y**3 + y - y)*(-1 + 2*y + 1) to c*y**4 + p + x*y**2 + l*y**3 + w*y and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 + j**2 - j - 1. Let b(z) = 25*z**3 - 3*z**2 + 4*z + 3. What is b(i) + 3*g(i)?\nAnswer: 22*i**3 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1614953273?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*j + 6*j**3 + 4*j + (-j + 4*j - 5*j)*(-4*j**2 + j**2 + 4*j**2) + 2*j**3 - j**2 + j**2)*(-4*j + 2*j**2 + 4*j).\nAnswer: 12*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one quarter of a millimeter?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*m + 12*f - 448 = 14*f, f = 2*m - 55. Solve -245 = m*b + 9*b for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 - (0 - (-1 + 13)). Let w = 18 - h. Suppose 4*j = -0*j - 2*n + 56, -n = 4*j - 52. Solve 0 = -3*r - 5*k + j, -w*r + 7 = -2*r + 4*k for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18390 and 95015?\nAnswer: 570090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + -2 - -3 - 0. Solve -o = v + 2 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r = 3*r. Suppose 4*t - 8*t + 412 = r. Let p = 174 - t. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1752 divide 29132256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -7 + 85 + 13 + -11. Let f = 10 - -6. Calculate the greatest common divisor of f and d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10336 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1381, -3, 617, 4, 5 in descending order.\nAnswer: 1381, 617, 5, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4048, 8062, 12056, 16024, 19960, 23858, 27712?\nAnswer: 31516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 16337 (base 8) to base 4\nAnswer: 1303133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**3 + 13536*c**2 + 11478480*c + 45697600.\nAnswer: 4*(c + 4)*(c + 1690)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 9, s: 2, x: 2, f: 1}. What is prob of picking 1 s and 1 q?\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -24970806 divided by 413?\nAnswer: -60462","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1079925 and 211871.\nAnswer: 2057","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1007 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -305 - -1?\nAnswer: -304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 5406, 5987, 6568?\n\"Answer: 581*a + 4825","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-7\/2)\/(v*v\/(v\/v**(-35)*v))*v**(1\/23)\/(v**(-11\/8)\/v*v))**(4\/9) assuming v is positive.\nAnswer: v**(673\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-546)\/(-364)*2\/(-24)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, 3.4, 2519 in increasing order.\nAnswer: 0, 2, 3.4, 2519","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a century in years?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 5, -3, -1 in increasing order.\nAnswer: -3, -1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1077 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 140 a factor of 630000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * 70.69585.\nAnswer: 353.47925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*n - 5. Find the first derivative of 9*a**3 - 8*a**3 + 18 + 13*a**3 + 28*a**n wrt a.\nAnswer: 126*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the third derivative of -o**4\/3 - 7*o**3\/6 - o**2. Let r = 183 - 189. Let z(f) = -f - 1. Give r*z(n) + a(n).\nAnswer: -2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 39, 91, 127, 105, -17, -281, -729?\nAnswer: -1403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3\/(-1))\/(-768)*(-24)\/(-18). Which is bigger: 1 or r?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 + 33 - -21 - 40?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.060978669 to five dps.\nAnswer: 0.06098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*k = -99 - 545. Let o be ((-15)\/k)\/((-3)\/2). Is o at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1080606, -2161237, -3241870, -4322505?\n\"Answer: -c**2 - 1080628*c + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**2 - f - 5. Let v be m(5). Suppose 3*h + 4*q = 8*q - 37, q - 45 = 4*h. Let x = h + v. What is the smallest common multiple of 1 and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -630113 + 630083.15704. Let s = -3.156932 + x. Let d = s + 33. What is d rounded to five decimal places?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 169*i - 1859. Give p(11).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 8.529 and 1003?\nAnswer: 994.471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 25327751 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 - 3 - -3)*-3. Suppose 59 = -2*g - 5*c - 186, 310 = -r*g + 4*c. What are the prime factors of 3\/(2*(-15)\/g)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3666 + (-2)\/40*5*4?\nAnswer: 5, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 1\/106, 1, -1\/4, -2.53 in decreasing order.\nAnswer: 1, 0.3, 1\/106, -1\/4, -2.53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - -2. Let r = -11.86 - 0.14. Let k = r - -7. What is the second smallest value in k, f, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.7424277 rounded to 1 dp?\nAnswer: -7.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 170 - 21035*v**3 - 170.\nAnswer: -21035*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 116*p + 8471. Let i be n(-73). Let r(k) = 2*k + 2. Let h(u) = u + 2. Determine i*h(a) - 2*r(a).\nAnswer: -a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10010100111 (base 2) to base 10.\nAnswer: -1191","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6\/(6\/977) - 4.\nAnswer: 7, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 x when two letters picked without replacement from {x: 7, q: 1, j: 2, g: 2}?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 1:47 PM?\nAnswer: 9:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 2*d - 3 - 1, 3*y = -5*d + 32. Suppose -30 = -3*c - 2*c + 5*h, 0 = -5*c + 3*h + 38. Let j = c - y. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.08 + 25.92. Let f = o + -25.8. Let i = 0.05 - 0.45. Put -5, f, i in descending order.\nAnswer: f, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 + 1 - (-2 - -3). Let b be (18\/(-32))\/((-2)\/72). Let f = 20 - b. Which is smaller: u or f?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -98*m + 638*m - 160*m - 156*m to the form o*m + i and give o.\nAnswer: 224","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 15*v - 8. Let g(q) = q. Determine d(z) - 6*g(z).\nAnswer: 9*z - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13 - -3. Let a(o) = o + 18. Calculate the remainder when 96\/7 - (-2)\/7 is divided by a(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/118, 3, 17.7, -0.0602 in increasing order.\nAnswer: -0.0602, -3\/118, 3, 17.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 925, 2063, 3227, 4429, 5681, 6995, 8383, 9857?\nAnswer: 11429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1)\/(-3))\/(70\/2667). Let y = 13 - p. Which is smaller: -1 or y?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 40 - 25. Let k = -27045764.00000192 - -27045779. Let y = k - t. Round y to 7 dps.\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*-1*sqrt(396))\/((sqrt(12) + sqrt(24)\/sqrt(2) - sqrt(12))*-5))\/(sqrt(6)\/sqrt(50) - sqrt(27)*6).\nAnswer: -5*sqrt(11)\/89","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 - 4*q)*(-208 + 208 + 9*q)*(4 - 2 - 5 + (3 - 4 + 0)*(-1 + 0 - 1))*(3*q + 4*q - 4*q) + 0*q - 3*q**3 + 0*q as x*q**2 + h*q + g + n*q**3 and give n.\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*f - 329 + 42. Let n = f - 24. What is the remainder when 133 is divided by n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:23 AM and 4:33 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 2\/11 (c) 3 (d) -3 (e) 1.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -41 - 20342?\nAnswer: -20423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/11 (b) 4\/3 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3192 - 1500. Is p a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 775257?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * 15960\nAnswer: -3192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/3 (b) -1 (c) 16344 (d) -7 (e) 9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 8 = 4*v, -5*y + 0 + 6 = -3*v. Which is the closest to -1\/2? (a) v (b) -3\/2 (c) -0.5 (d) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2787?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -798.891 - -16.741. Round d to the nearest one hundred.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -246 + 283. Suppose d + 383 = 2*g. Is g a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17406 - 15793 + 32088 - 2*n to the form p*n + q and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**2 - 6*h + 7. Let z be j(5). Let w(a) = 9*a**2 - 1 - z*a**2 + a + a. Does 18 divide w(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*i - 18*i - 2*i)*(4 + 3*i**3 - 4) - i**2 + 6*i**4 + i**2.\nAnswer: -33*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -6175000 rounded to the nearest 100000?\nAnswer: -6200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 115672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**2 - 8*n + 8. Let m be 7\/(-4)*(-5 + 1) + 0. Let v be l(m). Solve -v + 13 = -4*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10 + 14. Suppose -f = 4*q - 3*f - 58, -53 = -b*q + f. Let c = q - -33. Calculate the greatest common divisor of 9 and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -747 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0016306 rounded to five dps?\nAnswer: 0.00163","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 3*b = -56, -5*b + 10*b + 15 = 0. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -537\/100 - -21\/4. Let a = 1516\/75 - k. Calculate the common denominator of (-1 - -1) + 118\/(-20) and a.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74*v - 74 - 141 + 215.\nAnswer: -74*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 102069811 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 376 + 39*u - 376 - 512 + 512 + 12*u + (-3 - 2 + 3)*(u - 4 + 4) - 2*u + 3*u + 3*u to the form g + h*u and give h.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - -4. Let b(t) = -t**2 + 9*t - 4. Let s be b(8). Suppose -5*c + 2*w - s*w = -453, -i*c = 5*w - 359. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2815701 times -210?\nAnswer: -591297210","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 282, 280, 278, 276, 274, 272?\n\"Answer: -2*h + 284","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02115148 to five decimal places.\nAnswer: -0.02115","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 4*o + 26, -1 = 3*s + 2*o + 3. Let y(z) = z**2 + 5*z - 2*z + 0*z**s + 1 - 5. Suppose -2*r - 2*r - 16 = 0. Calculate y(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 758156907?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/8 of a century?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + 158a?\nAnswer: 158b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 9996*t - 37. Is w(6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, 52, 27, 1, 4.\nAnswer: -3, -2, 1, 4, 27, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (-32 - -36) + (-1 - 1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (1*sqrt(95)*-2*2)\/(1*sqrt(720)*6))**2.\nAnswer: sqrt(19)\/9 + 343\/324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 60 = 4*f. Let u be 90342\/14580 - (-2)\/20. Let r = u - 584\/27. Which is smaller: r or f?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((-14)\/(-12) + (-3)\/6)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5437 is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -26286 - -26292. Let p = 96\/5 + -19. What is the biggest value in t, p, 3\/5, -4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1786641889?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -406?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 26245 to the power of 1\/2, to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 49336318219 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7982101286 to the power of 1\/6, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 23484 and 29222?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1348910 and -0.021728.\nAnswer: 1348909.978272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 - 56*a**2 + 1196*a + 74804. What is w(-50)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of -53*b**3 - 3*b**2\/2 + 6489*b - 5996. Find the first derivative of o(t) wrt t.\nAnswer: -318*t - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112 is divided by 28?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the first derivative of 35*z**4\/2 - z**3\/3 + 9*z**2\/2 + 32*z - 2. Let h be u(-4). What is h rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 166.5974 kilograms?\nAnswer: 166597.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 320675.\nAnswer: 5, 101, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cxf when three letters picked without replacement from ixcfxcfffxfxfixixfxx.\nAnswer: 14\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -21210122 (base 3) in base 13?\nAnswer: -2786","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 2*n, 4*n + 17 = 55*s - 58*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 3*v**2 - 4*v**2 + 28 - v**2 + 3*v**2 - 21*v. Let t be s(20). Let h(b) = -b**3 + 8*b**2 + 2*b - 2. What is h(t)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/2)\/(5\/(-10)). Suppose -i*c = 3*g + 82, 5*c + 36 = 5*g - 144. Let s = c - -76. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4457f4 (base 16) to base 8.\nAnswer: 21053764","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2317 is divided by 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 223 + -194. Let q = 2.6 - 2.7. What is the second biggest value in q, -1\/3, t?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x**3 + 139*x**2 - 47*x**2 + 8199*x - 46*x**2 - 54*x**2.\nAnswer: x**3 - 8*x**2 + 8199*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 3*c**2 + 10. Give r(3).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -4, -70234 in decreasing order.\nAnswer: -1, -4, -70234","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-100)\/8)\/((-1)\/2). Let j(r) = 2*r**2 + 8*r - 100. Let b be j(-10). Calculate the greatest common divisor of b and n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((-4 + sqrt(320))*5 - sqrt(320)) + sqrt(320) + (sqrt(320) - (4 + sqrt(320)))*4)*1)**2.\nAnswer: -2880*sqrt(5) + 9296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-253)\/77 - (-4)\/(-8)*-6.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that a**2\/4 + 86713*a + 7519144369 = 0.\nAnswer: -173426","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 112237 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -2*q**3 - 47*q**2 - 71*q - 1. Calculate the remainder when 541 is divided by z(-22).\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 524 + -521. Let p(l) = 6*l**2 + l + 2. Let j be p(-2). What is the greatest common divisor of g and j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(133) - (sqrt(133) + 3*2*sqrt(133)))\/(5*sqrt(7)*1))**2 + (-3*sqrt(133))\/sqrt(7) + ((sqrt(95)*-1)\/sqrt(5) - sqrt(19))**2)*-4.\nAnswer: -10336\/25 + 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25804.\nAnswer: 2, 6451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (23 - 8)*(-3)\/(-9). Find the third derivative of 10*x**f + 25*x**2 + 28*x**2 - 57*x**2 wrt x.\nAnswer: 600*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 4 + 2)*((-1 + 2 + 0)*(0*p - 4*p + 5*p) + 5*p + p + 0*p).\nAnswer: 7*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.132 - -0.132. Is 2\/9 > p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 45 - 67. Is s\/143 - (-4866)\/26 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 2\/5 (c) -17 (d) -2\/13 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.4 and -0.138.\nAnswer: 0.3312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1517?\nAnswer: 37, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -4*m + 2. Let v be s(1). Let o be 16\/50*6 + v. Let q = 0.76 + 0.24. What is the third biggest value in q, o, 5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -240*h + 321*h = 7371. List the prime factors of h.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12221210221010211 - -2?\nAnswer: -12221210221010202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -57 + 227. Suppose -2*t + g = -4*w, t - 53 = w + 34. Suppose 3*o - t = 91. Does 20 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9 + 8)*(-14)\/21\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x**2 - 133*x + 141*x - 420 + 293 - 4*x**2 + 0*x**2 + 3*x**2 + (0 + 0 + 2*x)*(4*x - 3*x - 2*x).\nAnswer: -4*x**2 + 8*x - 127","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*(4 - 3)\/(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -34*h - 238. Let t be r(-7). Let s be 44 - 38 - (-345)\/(-58). Does t = s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -796\/1443 + 10\/111. Is o greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -4 + 94\/18.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 3:58 PM?\nAnswer: 6:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29, -15, 1, 19?\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.23, -1\/3, -2\/31?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9.94 + -10. Let f = i + -11.94. Let n = -16 - f. What is the closest to 0.1 in -1\/6, n, -2?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 16 + 10 = 0. Put -4, 2, o, 0 in increasing order.\nAnswer: -4, o, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 m when two letters picked without replacement from lcllmmmdddn.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-nine fifths of a litre?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -4*d**4\/7 - 1108*d**3\/7 + 1128*d**2\/7 + 4432*d\/7 - 4448\/7 = 0?\nAnswer: -278, -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 2*o**3 - 5590822*o**2 - 11181650*o - 5590826 = 0.\nAnswer: -1, 2795413","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 90, 1808, -0.35, 1 in decreasing order.\nAnswer: 1808, 90, 4, 1, -0.35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + 2 = -292. Let d = t + -49. Is 13 a factor of (100\/(-6))\/(d + (-2)\/9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/a**(1\/2))*a**34\/a)\/((a*a**21)\/a)**(-49) assuming a is positive.\nAnswer: a**(2125\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7541?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 - 12*t**2 - 58598*t + 644692. What is u(11)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2099*h + 3 = 2100*h. Put h, 30, 4 in decreasing order.\nAnswer: 30, 4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 25231?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - -10. What is the units digit of 21\/(-2)*(-10 + z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 AM and 12:02 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -116 + 117. What is the tens digit of 34440\/735 + (0 - a\/(-7))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i - i**2 - 3*i + 49 - 48. Let p be 2 - (3 - 2 - 2). Suppose r = -r + p*f - 7, 0 = -r + 4*f - 1. Determine a(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1695405 and 165?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.04362*1.1\nAnswer: -0.047982","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/9 and 35\/7347.\nAnswer: 22041","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5430851 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -23417.982 + 23418. Put 0.6, y, -1, -2 in decreasing order.\nAnswer: 0.6, y, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 212\/(-32) + 3 - -4?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -547 + 472. Let q be z\/126 - (-4)\/24. Let r = 0.2 - 0. Which is the second smallest value? (a) 2 (b) q (c) -0.3 (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 188767 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 20, -l + 6 = k + l. Let t be (0 + 3)*(-10)\/(-6). Let m(j) = t + 0*j + 2*j - 2 - 2*j**2 - 2*j**3. Determine m(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 + 5*i**2 + 5*i + 5. Calculate s(7).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 162 = -5*t + 32*d + 5, 235*t - 54 = 237*t - 4*d for t.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*q - 9. Differentiate -q*p**2 - 6*p - 3 + 6*p with respect to p.\nAnswer: -8*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*k + 13 = 22 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.02 times -202\nAnswer: 4.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 - 44) + (279 - 273)?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + 1205?\nAnswer: 1208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*t**2\/3 + 296*t\/3 + 224\/3 = 0. Calculate t.\nAnswer: -14, -4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1678022 and 269?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -55354 - -123053. What is the thousands digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -634, 2, -14, -15 in ascending order.\nAnswer: -634, -15, -14, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 1407*d + 8522. Determine q(-6).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3019117 (base 11) to base 9\nAnswer: 11041065","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -404 + 171. Let p = -3 - t. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1011 is divided by 127.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 - 3) + 2 + 3. Suppose 7*f = v*f - 15. Suppose 3 = -5*d - 2. Sort d, f, 0 in decreasing order.\nAnswer: 0, d, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5541 + -35?\nAnswer: 5502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -4*f**3 - 4*f**2 + 4*f. Let l(b) = 9*b**3 + 9*b**2 - 9*b. Give 7*a(u) + 3*l(u).\nAnswer: -u**3 - u**2 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -3*p + 65. Let j be y(10). Let r be 3\/j - 72\/252. Let l be (2 - 1)*4\/(-18). What is the closest to l in r, -2, 1\/7?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110010 - 111011000010101011?\nAnswer: -111011000011011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 3544?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 449a41 (base 13) to base 14.\nAnswer: 302a0c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-8)\/14)\/(-2)*14. Suppose i*l + 8 = 0, 4*l + 819008 = 3*n - 0*l. What is n rounded to the nearest ten thousand?\nAnswer: 270000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*g - 39 + 27 + 9 + 19.\nAnswer: -7*g + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010.795 minutes in microseconds?\nAnswer: 60647700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2 - 18*m - 19. Let q be d(-15). Suppose -5*k = -j - 31, j - k - 3*k = -q. Let x(a) = -2 + 4*a + 1 + 2*a + a**2. Calculate x(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 766 is divided by 256?\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {e: 4, o: 7, a: 2}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-6)\/5)\/((-21)\/70). What is the highest common divisor of 1 and x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the second derivative of p**3\/3 - 9*p**2\/2 + 111*p. Let t(g) = -g + 1. Determine -a(l) - 4*t(l).\nAnswer: 2*l + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -2*(6*-3*(-4*sqrt(68))**2 + -3).\nAnswer: 39179","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -54*s**2 - 74*s**2 + 13*s**2. Let j(o) = -16*o. What is r(j(n))?\nAnswer: -29440*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 137144 = 34*p - 447384. Does 11 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 - 14*g**2 + 13*g - 12. Let t be y(10). Let x = -285\/2 + 172. Calculate the common denominator of x and (4\/22)\/(24\/t).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -131132 (base 4) to base 12.\nAnswer: -1112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -498 - -497.56. Is t >= -0.13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -157*u + 25675015*u**2 + 157*u.\nAnswer: 25675015*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(-2))\/g*g*g\/(g**(-4)*g) assuming g is positive.\nAnswer: g**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a - 23 + 67 - 29. Let d be l(15). Solve 4*v + 0*s + 5 = 3*s, d = -v + s - 1 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 10*(-3 - 7\/(-2)). Calculate the highest common factor of 25 and k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*f + 22*f - 3*i = 25, 15 = 3*f + 4*i. Solve 4*z + f*p + 44 = 51, -1 = -z - p for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a century in months?\nAnswer: 8100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + -110202100002?\nAnswer: -110202100021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v. Let l(r) = -r. Let m(f) = -5*b(f) + 4*l(f). Let q be m(2). Suppose -q*n + 3*n - 2 = 0. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 6*m + 24. Let i(f) = f**3 - 8*f**2 + 2*f + 1. Let r be i(m). List the prime factors of 2\/(8\/r)*(-18 - -6).\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p**(-4\/11)\/p*p)*((p*p**(2\/43))\/p)\/p*p)\/(((p*p**6)\/p)\/p**(3\/13)) assuming p is positive.\nAnswer: p**(-26804\/6149)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 48781 = -4*x, 299*x - 300*x - 4*f + 12191 = 0. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8974112 divided by -56\nAnswer: -160252","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.76 - -0.16. Let n = h + 0.6. What is the closest to n in 3\/5, 1\/3, 3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s - 1. Let g be b(4). Suppose -4*j + 3 = g*r, j + 0*r = -5*r - 12. Suppose 3*d - 14 = -5*u, 4 + 4 = 3*d - u. Solve 0 = -4*l + d*l - j for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/(-32 + 19))\/(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -5 - 34. Let u = x + 16. Solve 1 = u*t + 7 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 463023.4 years in months?\nAnswer: 5556280.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -14853, -14841, -14839, -14847?\n\"Answer: -5*l**2 + 27*l - 14875","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8226941372 and 52.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 2*o**3 - 56*o**2 + 350*o + 397. Give s(17).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve i = -4*v - 31, 0 = 2*v - 8389015*i + 8388996*i - 199 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -5*n + 4. Let c(d) = -4*d + 3. Let s(g) = -6*c(g) + 5*q(g). Let i be s(3). Let a(p) = p + 3. Let b be a(-3). Which is bigger: b or i?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = b + 48. Let h(y) = y**2 - 15*y - 11. Is h(b) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 9*m**3 + m**2 + m - 1. Suppose -1 + 3 = h. Suppose -h*w + 3 = w. List the prime factors of g(w).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4598055.\nAnswer: 3, 5, 7, 11, 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 3*g. Let x(q) = -7*q**2 - 91. Determine x(v(d)).\nAnswer: -63*d**2 - 91","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 0 + 0)*(4 - 1 + 0)*(4 - 2 - 3)*(-p + p - 2*p)*(-546 + 120 + 12) as z*p + n and give z.\nAnswer: 4968","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -2*k - 3. Determine m(3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -148 - -139. Let a(x) = -x**2 - 10*x - 6. Let i be a(y). Suppose -2 = -v - 0*v. Solve j = 5*q - 4, 5*j - i*q + 0 = v for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - 0. Let h(l) = l**2 - 3*l + 3. Let z be h(p). What are the prime factors of z\/(-4)*-2*18?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + 4*q + 252, -5*q - 379 = -3*y + 6*y. Let p = y + 295. Does 10 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -17889161*c - 12284684 wrt c.\nAnswer: -17889161","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14.4 - 14. Let u = 0.047925 - 288.017925. Let l = u + 288. Which is the nearest to l? (a) 3 (b) 1\/2 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1*(1 - 0)\/6. Let u = -91852\/7 - -12962. Let w = -160 - u. Which is the second smallest value? (a) -2\/5 (b) w (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.5, 1\/28, 17, 5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-875)\/280)\/(5\/(-4))\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(0 - -20))\/((-58)\/116)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 108 - 108. Solve -5*i + 0 + 5 = j for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 515621 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 4) to base 13.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85*l**3 - 235*l**3 + 19*l**3.\nAnswer: -301*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.033*20\nAnswer: -0.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.37 + -4.37. What is the second biggest value in 1\/2, a, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 6449\/75886?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 7*q**2 + q - 1. Let h be p(2). Let f = -68655 + 68974. What is the greatest common divisor of f and h?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 - 34*h**2 - 36*h - 71. Give i(-33).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 172 a factor of 1552988?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 62103 and 1524?\nAnswer: 381","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2 - 11*b - 18. Let r(f) = -5*f**2 + 45*f + 72. Let v(d) = 2*r(d) + 9*x(d). Let c be v(-4). Suppose 2*j + c*j = 152. List the prime factors of j.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*s**4 - 6 + 18*s**4 - 2*s - 8*s**3 + 28*s**4 + 2*s**2 - 53*s**4 + 4 to l*s**2 + m*s**3 + u*s + r*s**4 + b and give m.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 486 + 339 = 11*s. Suppose s*h = 84*h - 3240. Does 6 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -203132 + -2140124?\nAnswer: -2343311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/177)\/((-15)\/((-90)\/8))*4?\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a - 2*s - 4 + 22, 3*a - s = 11. Suppose -2*u + 14 = -2*x, -20 = -4*u + 5*x + 13. Find the first derivative of -3*q**2 + 0 + a*q**u + 1 wrt q.\nAnswer: 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -8*c**4\/3 - 20062*c**3\/3 - 1035904*c**2\/3 + 260230*c\/3 = 0.\nAnswer: -2455, -53, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 2*k - 24. Let g(m) = 3*m**2 + m - 3. Let l be g(-3). Suppose 4*j - 7 - l = 0. What is the smallest common multiple of j and k?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 40*g - 359 - 308 + 27 for g.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/50 and -83\/50?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 54 + 11 = 0. Suppose 5*x - 5*h - b = 0, 3*h = -h - 4. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -6, -2, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 139, 73, -4 in ascending order.\nAnswer: -4, 73, 139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -427*j - 51. Let z be w(7). Let o = z + 5599. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 11) to base 15\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 669 - 688. Put -1\/4, 1\/2, -0.5, h in descending order.\nAnswer: 1\/2, -1\/4, -0.5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-28)*((510\/(-100))\/(12\/(-16)) + -7)?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*s**2 + 5*s**2 + 4*s**2)*(-3*s - 2*s + 2*s) to h + u*s**2 + x*s**3 + t*s and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -764, 767, 4892, 12907, 26108?\n\"Answer: 216*f**3 + f**2 + 16*f - 997","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 22 = 16. Suppose -3*k - 4*p + 28 = 0, -i*k = -0*k - 4*p - 68. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 10*q + q**2 + 1 - 2*q - 13. Let u be p(-10). What is the highest common divisor of u and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -10 and 1.44?\nAnswer: 11.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1057920 a multiple of 240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2027248 to the power of 1\/4, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tkstatatkktctsyykky. Give prob of picking 1 c, 1 s, and 2 a.\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 3*t - 51 = 0, -3*b - 5*t = 19 + 30. What is the third smallest value in -8\/9, 1\/3, b?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -11533, 1, 11 in decreasing order.\nAnswer: 11, 1, -11533","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 10682, 10895, 11118, 11351, 11594?\n\"Answer: 5*o**2 + 198*o + 10479","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 12:06 AM?\nAnswer: 6:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 - -8. Suppose -5*v = -4*x - 15, f*x = -v - 0 + 3. Suppose x = 4*s + 20, 4*z = -2*s + s + 19. What is the remainder when 9 is divided by z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1\/12 - -7\/12. Let v = 2 - 2. Let d = v - -2. What is the second biggest value in 0, c, d?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qjqffcqcdfccqcf. Give prob of sequence qc.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -0*x - 44. Find the second derivative of -21*s**5 - 5*s - 5*s + x*s**5 wrt s.\nAnswer: -200*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 34 + 45 = 0. Calculate the remainder when b is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 + -650.38\nAnswer: -649.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:08 PM and 4:24 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the second derivative of -p**4\/12 + p**3\/2 + 12*p**2 + p. Let s be (-23)\/(-4) - (-8)\/(288\/9). Let j be w(s). Is j >= 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 90\/(-15) + -84*6\/(-81). Let h = -1\/74 + 56\/37. Which is the closest to 2\/5? (a) p (b) h (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/98 and 69\/48610940?\nAnswer: 48610940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 + -3 + (28 - 13) - (-1 + -1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2108\/1581*(3\/(-46))\/(-1)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1716*o**2*y**4 - o**2 - 3*o*y - 4*y**2 wrt y.\nAnswer: -41184*o**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 195 and 17160.\nAnswer: 17160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((-1*sqrt(17) + 5 - (0 + sqrt(17) + sqrt(17) + sqrt(17) + -1)) + 5 + sqrt(68) + 2 + -3))**2.\nAnswer: -640*sqrt(17) + 2688","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2042311632?\nAnswer: 2, 3, 2767, 15377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b0b602 (base 12) to base 16\nAnswer: 2a11a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16928 and 103132?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1226 (base 13) in base 8?\nAnswer: 5007","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5\/11, 5.\nAnswer: -2, -5\/11, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 18688992?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -5 + 1 + 0 - l. Suppose 3*d + 5*b = -84 + 77, -d = 4*b - 7. Let j be ((-42)\/d + -5)*18. Give i(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2394709961 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/776844 and -47\/863160?\nAnswer: 7768440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 346 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -4*t - 786. Let j(a) = -6719*a**2. Give l(j(z)).\nAnswer: 26876*z**2 - 786","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s + 1. Let t(w) = 6*w + 15. Let o(b) = -6*h(b) + t(b). Let i(f) be the second derivative of -f**3\/6 - f**2\/2 - 3*f - 121. Give 9*i(d) + o(d).\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 + (-2)\/(2\/(-3)). Let c be ((-16)\/(-10))\/(2\/d). Let o(t) be the second derivative of -t**3\/6 + 3*t**2\/2 - 5*t + 1. What is o(c)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**3 - 7*o**2 - 6*o + 3. Let g(d) be the first derivative of 4*d**3\/3 + 5*d**2\/2 + 11*d + 19. Calculate the remainder when g(-3) is divided by m(8).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 983*k**5 - 28*k**2 + 7*k.\nAnswer: 58980*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**4\/4 + 59*c**3\/2 + 1165*c**2\/4 - 321*c.\nAnswer: c*(c - 1)*(c + 12)*(c + 107)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 6) in base 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16017650?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)\/(-1*sqrt(24)\/sqrt(2)))**2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-3*sqrt(85)*2 + sqrt(85) + (sqrt(85) - (-1*sqrt(85)*5 - sqrt(85))))\/(sqrt(25)\/(sqrt(45)\/sqrt(81))).\nAnswer: -2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15730401 is divided by 19021?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 525438 and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*m - 3*m + 0*m)*(-114*m + 114*m + 4*m**2 + 2)*(0*m + 2*m + 2*m) as q*m**2 + v + n*m**3 + d*m + h*m**4 and give q.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 - -5796259?\nAnswer: 5796261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 36*p**3 + 5*p**2 - 6*p - 3. What is the hundreds digit of t(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes before 10:37 PM?\nAnswer: 12:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -6*g**3 - 34*g**2 + 40*g - 180. Let q(a) = -2*a**3 - 12*a**2 + 14*a - 59. Give 17*q(k) - 6*u(k).\nAnswer: 2*k**3 - 2*k + 77","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 31284415 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/18 and -11\/24.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 682*r - 1560*r + 4390 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + v. Suppose -2*m + 3*m - 4*w - 20 = v, 3*m - 4*w = 100. Suppose 2*b = -2*b + m. Solve 0 = 3*z - 4*z - 5*t + 14, 0 = -4*z + 2*t - b for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 3*c = 10, 0 = -5*f + c - 2 - 5. Let h(q) be the third derivative of 5*q**4\/24 - 33*q**2 + 29. Calculate h(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -0.6 (b) 5 (c) -2\/737\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6161 divided by -2855?\nAnswer: -6161\/2855","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 56837 by 3991.\nAnswer: 56837\/3991","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 58 - 53. What is the lowest common multiple of z and (2\/(-6))\/(3\/(-63))?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, f: 3}. Give prob of sequence rffr.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2696 is divided by 31.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -7*a**3 + 21*a**2 - 67*a - 177. Is t(-38) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 88 + 32 = 0. Calculate the smallest common multiple of q and 40.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from {k: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*u + 18*u - 5*u - 12 + 12.\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -7466000 rounded to the nearest 1000000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-44)\/(-1520)*(549\/27 + -2) and 19\/10.\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1242100 (base 5) to base 14\nAnswer: -8daa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 285323 is divided by 1903.\nAnswer: 1776","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68309773 is divided by 19777?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -944\/38419 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 342*g**2 + 246226 - 246226 - 15*g**2 - 9 + 9 + (-3 + 3 + g)*(0*g - g - g) - 3*g**2 + 2*g**2 + 2*g**2 to the form n + j*g + b*g**2 and give b.\nAnswer: 326","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11504 - 11504.45362. What is m rounded to two decimal places?\nAnswer: -0.45","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1874, -7494, -16858, -29966, -46818?\nAnswer: -67414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = a + 173, 0*w = 2*a + 5*w + 376. Let s = a + 891. Let n = -2392 - s. Round n to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -6*u**2. Let r(c) = 8*c + 5. Let n(g) = -9*g - 6. Let v(p) = 5*n(p) + 6*r(p). Give v(h(w)).\nAnswer: -18*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (54\/24*5)\/(720\/(-432)).\nAnswer: -27\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6 and 23316?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sssn when four letters picked without replacement from nssssssssssnsnnsss?\nAnswer: 91\/765","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**3 - 13*z + 14. Let m(t) = 2*t**3 - 14*t + 14. Give 3*k(o) - 2*m(o).\nAnswer: -o**3 - 11*o + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 325\/390*63\/15*30\/28*12\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 25*m**3 + 3 + 96781*m + 19*m**2 - 96781*m - 6*m**6 wrt m.\nAnswer: -720*m**3 + 150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2743*o - 1567*o + 5890*o - 1580*o + 11*o**3.\nAnswer: 11*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6795\/7 - -971. Which is the nearest to l? (a) 1\/5 (b) 0 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = 5*s - 3 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/20 of a gram?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -1 + (-1 - -2) - -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.96971 - -0.03029. Put k, 5, 780 in descending order.\nAnswer: 780, 5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1486?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 580, 85, 3, 6 in descending order.\nAnswer: 580, 85, 6, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-99)\/((-8613)\/725))\/(2\/(-6)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 320*h - 23097 = 19099 + 12313 - 34989 for h.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -98*n**2 - 10*n - 47. Let i(o) = 148*o**2 + 14*o + 68. Calculate 5*i(q) + 7*p(q).\nAnswer: 54*q**2 + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17916 is divided by 58?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from faacngnaawfg. What is prob of picking 1 c and 1 a?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a century in months?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 85484 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 38 and 3078?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57*w**3 - 93*w**3 - 93*w**3 - 106*w**3 + 373*w**3.\nAnswer: 24*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 953*c**3 + 10834*c**2 - 178005385*c?\nAnswer: 5718*c + 21668","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -935, -714, -347, 166, 825, 1630, 2581?\nAnswer: 3678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11821359*v*z**6 - 2*v*z**4 + 36990296*v*z**2 wrt z.\nAnswer: 1418563080*v*z**3 - 48*v*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1\/(-2))\/((-4)\/(-1088)). Let n be ((-7)\/(-5))\/(f\/(-85)). Does n = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 947?\nAnswer: 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -82 - -85.62. Let n = u + -0.02. Let a = -6.6 + n. Are -3 and a equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:54 AM and 6:21 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1765, 3544, 5321, 7096, 8869, 10640, 12409?\n\"Answer: -x**2 + 1782*x - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107601 is divided by 5734.\nAnswer: 4389","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 19668, 19049, 18430, 17811, 17192, 16573?\n\"Answer: -619*b + 20287","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 2*h + 12. Suppose -3*m + 30 + h = 0. List the prime factors of m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 474, 59, -5.\nAnswer: -5, -3, 59, 474","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 58 divided by -2077.\nAnswer: -58\/2077","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 952, 1897, 2798, 3637, 4396?\nAnswer: 5057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4f + 7?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 159792 to the power of 1\/3, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -234454, -468909, -703364, -937819, -1172274, -1406729?\nAnswer: -1641184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18 + 29. Let i = 75 - 54. What is the remainder when i is divided by y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12424, 12425, 12426, 12427, 12428?\nAnswer: 12429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qdqdattaadtdqqt. Give prob of picking 1 t and 1 d.\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 45106 - 6750 = h, 0 = -5*z + 3*h + 38352. Suppose 0 = -11*a + 4638 + z. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 8893c61 + 0?\nAnswer: 8893c61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 101202021 (base 3) in base 11?\nAnswer: 5985","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 - ((-847)\/121 + (-154)\/(-8))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 28365912 and 304542.\nAnswer: 198561384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1251396 divided by -11587.\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of 2*y**6\/45 + y**5\/120 + y**4\/6 + 37*y**2 - 7*y - 3. Let o(a) be the third derivative of s(a). Give o(-1).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -87743 and -50.\nAnswer: 4387150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 162062.9ml to litres.\nAnswer: 162.0629","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*l + 30*l + 78*l + 1 + 34*l - 3 in the form y + o*l and give o.\nAnswer: 157","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*i + 11*i = 14*i. Factor i*w - 1\/5*w**3 + 0 + 1\/5*w**2 + 1\/5*w**5 - 1\/5*w**4.\nAnswer: w**2*(w - 1)**2*(w + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - (43 + -26 + 41).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 9*a**2 + 153*a + 597. Let h be m(-6). Sort h, 26, -5, 2 in ascending order.\nAnswer: -5, 2, h, 26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2076 - -2054. Suppose r - 20 - 22 = 0. List the prime factors of 16\/(2 + r\/a).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 11*j - 22353. Let h(q) = -5*q. What is h(i(v))?\nAnswer: -55*v + 111765","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1251 and 3573?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/12 + 14441\/84 - 4. Suppose 0 = 146*v - b*v + 35860. Is v a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-3))\/((-2)\/3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 20 = -t. Suppose 12*y - 4*y = 0. Suppose y = -d + t*a + 91, -6*a = -4*d - a + 394. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 + 13118.\nAnswer: 13117.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1870, 3886, 5842, 7708, 9454, 11050, 12466, 13672?\n\"Answer: -5*b**3 + 2051*b - 176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180)\/sqrt(3)*6)\/(3*sqrt(48)).\nAnswer: sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fieiafefii. What is prob of picking 1 a, 1 f, and 2 e?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 2*s**3 - 2*s**2 - 4*s - 5. Let y(v) = v**3 - 2*v**2 - 3*v - 4. Calculate 4*j(r) - 5*y(r).\nAnswer: 3*r**3 + 2*r**2 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 125\/96 and -29\/72?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 146 or 53?\nAnswer: 53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1\/4, 5\/61, -2\/13 in ascending order.\nAnswer: -2, -2\/13, 5\/61, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 111\/920 and 133\/2484.\nAnswer: 24840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/47? (a) -3 (b) -7.1 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 272 = -2*y, 9*h - 403 = -3*y + 5*h. Suppose 4*a - y = -6*f + 3*f, -2*a - 159 = -3*f. Round f to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.0185828918 rounded to 1 decimal place?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of n**6\/360 - n**4\/8 + 2*n**3\/3 + 1. Let f(v) be the third derivative of h(v). Differentiate f(d) wrt d.\nAnswer: 2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7e + 5728?\nAnswer: 57a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 7, e: 1, q: 5}. Give prob of picking 1 e and 1 q.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -10*o - 89. Let u(j) = -10*j - 87. Determine 3*f(r) - 4*u(r).\nAnswer: 10*r + 81","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 11 = -3*f + 2, 18 = x + 2*f. Solve 0 = 4*u - x, 0 = -4*i - 5*u + 4 - 2 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -56*l**2*p - 52*l**2 - 4*l*p**2 - l*p - 2*l + 2*p**2 + 1 wrt p.\nAnswer: -56*l**2 - 8*l*p - l + 4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 101 + -96. What is the second derivative of 40*f - 44*f**y + 20*f - 91*f wrt f?\nAnswer: -880*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14*8\/140)\/((-1)\/5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/13, 6, 185, 1\/6?\nAnswer: 185","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/9*6 - -1. Let h be (a\/9)\/((-4)\/132). What is the highest common divisor of h and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 196993337 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-26)\/3)\/(14\/(-105)) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times 1365094?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -34120051 (base 6) in base 3?\nAnswer: -1221200021011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7000bb - -5?\nAnswer: 700104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 - 14*m + 1. Suppose 3*k - 10*k + 14 = 0. Let f(r) be the first derivative of r**2 - 1. Determine k*h(w) + 14*f(w).\nAnswer: -2*w**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 42*u - 3 - 2.\nAnswer: 42*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5261*x + 15 = -5256*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_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: Collect the terms in -40*o**3 + 43*o - 62*o**3 + 42*o - 123*o + 49*o.\nAnswer: -102*o**3 + 11*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eh when two letters picked without replacement from {d: 1, e: 5, m: 5, s: 1, h: 2, b: 6}.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1043 + -900. Which is the second biggest value? (a) -1 (b) p (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4639986 divided by 2.\nAnswer: 2319993","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*b**2 + 2*b**3 + 5*b**2)*(0*b + b - 3*b) + (b - 1 + 1)*(-2115*b - 73*b**3 + 2115*b) as w*b**4 + i*b**2 + f + j*b**3 + y*b and give w.\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*10\/(-5)*1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 125.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -56*r - 7. Let n(u) = -u**2 + 11*u - 6. Let c be n(11). Let z be k(c). Suppose 5*a - 416 = z. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 26565 + 3?\nAnswer: 26601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**4 + 2*v**5 + 2*v**4)*(-2 + 3 + 2) - v**3 - v**5 + v**3 + 147 - 22*v**5 - 147 + 2 - 3*v**3 + 3*v**3 + 2*v**5.\nAnswer: -15*v**5 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -265296*j + 2122361. Determine a(8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -107\/3 + 35. Let k = -10.08 + 10. Is y at most as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 160 divide 3331040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11131 (base 4) to base 7.\nAnswer: -1006","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 112 and 168?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z = -9*z - 72. Let j = 185\/77 + -13\/7. What is the third smallest value in z, j, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -59646 rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -5*j - 4. What is the units digit of x(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 343238728?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4115, -17269, -39517, -70859, -111295, -160825, -219449?\nAnswer: -287167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8\/27 in 3\/2, -1\/3, -3\/4, 1\/6, 0?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 569 divide 1509688053?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 709*c - 311*c - 466 - 2497 with respect to c.\nAnswer: 398","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000473753623 to 7 decimal places.\nAnswer: -0.0000474","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -585.748 * 10\nAnswer: -5857.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 745 = -63. Calculate the remainder when y is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3903 by 3.\nAnswer: 1301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 29 - 183. List the prime factors of t.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*o + 3*o - 4*o)*(-3 - 1 + 3) + 141 + 157 + 144 - 1673*o + 4974*o - 443 as x*o + m and give x.\nAnswer: 3299","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(1*6))\/((-75)\/75)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 11*j**2 - 9*j - 7. Let x be r(-1). Let n be (2 - 1)\/(2\/8). Sort -4, x, n, 1 in descending order.\nAnswer: x, n, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f + 10. Let d be (54\/(-12))\/((-1)\/2). Let x be o(d). Solve q = x + 4 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 61509?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ey when two letters picked without replacement from eeyte.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -46.8 + 35. Let x = n + 0.8. Let m = x - -7. What is the third smallest value in m, 0.3, -2\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - -1. Let f = 35 + -35.2. Which is the nearest to f? (a) 1\/8 (b) -0.1 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (10 - 9) + -4 - -8\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7930 or 7885?\nAnswer: 7885","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -2*h**3 - h**2 + h - 1. Let l(t) = -t**3 + 11*t**2 - 29*t - 10. Let j(q) = l(q) - x(q). Calculate the remainder when 89 is divided by j(-14).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = 2*b, 6*y + 13*y - 25*y + 9*y + 2*b + 22 = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 29.62 + -32.62. What is the closest to -4 in -2\/13, z, -0.06?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*o - 3*o**4 + 5*o**3 - 10*o**3 + 4*o**4 + 4*o**2 - 6*o**2 + 4*o**2 - 2 in the form z*o**4 + x*o**3 + f*o**2 + v + w*o and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**2 + 9*c + 11. Let b be r(10). Let p = b + 7. Suppose -3*s - 3*n = -45, -2*s + 33 = s - 3*n. Calculate the remainder when s is divided by p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the third derivative of 0*d**3 + 13\/12*d**5 + d**2 + 4 + 71\/12*d**4 + 0*d. What is the second derivative of w(a) wrt a?\nAnswer: 130","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of d**3*g**2*j + 4*d**3*g**2*z + d**3*g*j**2 - d**2*g**2*j - 3*d*g**2*j**2 + 14*d*j**2*z + 2*g*j wrt j?\nAnswer: 2*d**3*g - 6*d*g**2 + 28*d*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the third derivative of -u**5\/60 + 2083*u**4\/24 - 4385*u**3\/3 + 3*u**2 + 52. Find the first derivative of r(m) wrt m.\nAnswer: -2*m + 2083","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*z + 6*z + 130. Let a = 26 - z. Suppose -w = -a*w - 3*w. Solve -k + 3*k = w for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13\/35 + -6\/35. Put 8\/7, -5, p in descending order.\nAnswer: 8\/7, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g, 8*r - 5*g - 118 = 6*r. What are the prime factors of r?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2998 + -2998.1251. Let q = d - -0.0251. What is the second biggest value in -1.1, 1, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 7*a = 270. Does 27 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -53d (base 16) in base 6?\nAnswer: -10113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2 - 3*g - 2. Let x be o(-2). Let v be (x\/10 + -2)*-5. Solve q = v*q - 25 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1594172.81032 + 16.81032. Let p = m - -1594156.3700045. Let f = p + -0.37. What is f rounded to six dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 7*n**2. List the prime factors of m(-2).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 472 > 470?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 2*s = s + 104, 270 = 3*j + 5*s. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 151*l**2 - 363213 + 363213.\nAnswer: 151*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -64.1631693 rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in twenty-five eighths of a kilogram?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 3*s**2 + 18*s + 48. Let y be a(-6). What is the greatest common factor of y and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 121873 is divided by 626?\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6219.\nAnswer: 3, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 0*p = -3*r + 65899, -5*p = -3*r + 65879. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(6*sqrt(44) + -2 - (3*(3 + sqrt(11))*-2)**2)*-3.\nAnswer: 3672*sqrt(11) + 12996","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.0888+634.75670298\nAnswer: 634.66790298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 5) to base 14.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (704 - 237 + 755)*(3*a**4 + 7*a**3 - 7*a**3).\nAnswer: 3666*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 431*y + 2542 = -427*y, 5*y = 5*m - 6280. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 72276 + 18?\nAnswer: 72305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3784 at most as big as 3719?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**0)\/h*(h\/(h\/h**(-2\/3)))\/h*((h\/(h**(-2\/5)*h))\/h)**(-2) assuming h is positive.\nAnswer: h**(-7\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.0481 + -253.9519. Is 0 not equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(77)\/((sqrt(63)*-6 - sqrt(7)) + sqrt(7) + sqrt(7))*6.\nAnswer: -6*sqrt(11)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-3)\/(-27))\/(5\/60). Let o = 39 - 119\/3. What is the closest to 1 in p, o, 1\/3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -106985, -213932, -320891, -427868, -534869, -641900, -748967?\n\"Answer: -q**3 - 106940*q - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9.16 - -0.76. Let y = -9 - b. Let x = y - -0.5. What is the third biggest value in -3, -2\/5, x?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/4 - (-14)\/(-20). Let q = -4 - -2. Let n = -15\/16 - -27\/80. Which is the second biggest value? (a) n (b) q (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**3 + 8*v**2 + 6*v - 7. Let d be f(-7). Suppose 0 = 6*t - d*t - 252. Is t a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16 - 12. Let h be 16\/15 - d\/6. Are h and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2057840 is divided by 44.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -29*x - 66. Let g be f(-9). Let l = g - 120. List the prime factors of l.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-76 - 737 + 4098)*(4*i - 4*i + i).\nAnswer: 3285*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -808563989*q**2 + 561091*q + 211?\nAnswer: -1617127978","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-330)\/80 + -2*3\/(-48)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 4*q + 17, 3*s + 5*q - 17 = -0*q. Suppose 0 = i - 4*m - 26, 4*i - 4*m = 63 - 19. Suppose -r + i = r. Put s, 2, r in decreasing order.\nAnswer: r, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-3)\/(-27))\/((-303)\/9). Which is smaller: -1 or n?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00081592 rounded to six dps?\nAnswer: -0.000816","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8 (base 16) to base 15.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/62 and ((-685)\/420 + 129\/86)*2\/1.\nAnswer: 1302","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5875 and 625.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the second derivative of t**4\/12 + 5*t**3\/6 + 5*t**2\/2 - 3*t. Let d be p(-5). Suppose d*w + k - 331 = 0, 3*k - 34 = 2*w - 180. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eoc when three letters picked without replacement from {e: 3, c: 1, o: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 49284*g**3 - 184704*g**2 - 48944*g - 3136 = 0. Calculate g.\nAnswer: -14\/111, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 44*h**2*s*x + 114*h**2*s - 9*h**2*x + h**2 + h*x + 2*h - 32*s*x + 265*s - 6*x + 6 wrt h.\nAnswer: 88*s*x + 228*s - 18*x + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4862045\/12533 - -3208793599\/41509296. Let a = -10710\/23 + q. Calculate the common denominator of (23\/(-20))\/(6\/45*6) and a.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the third derivative of n**4\/24 + 238*n**2 + 2*n. Let q(p) be the first derivative of -31*p**3\/3 + 2. Give w(q(k)).\nAnswer: -31*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3761425.52 rounded to the nearest 100000?\nAnswer: 3800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 16*s**3 - 2369*s + 30 + 78 + 2368*s wrt s?\nAnswer: 48*s**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(125) + sqrt(125)*2) + sqrt(125))**2*1 - (0 + 1 + sqrt(125) + sqrt(125) + -2*sqrt(125)*2)**2.\nAnswer: 20*sqrt(5) + 20624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1541?\nAnswer: 23, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(108) + 0)*-5 - (4 + sqrt(108) + 3))**2.\nAnswer: 504*sqrt(3) + 3937","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -316105 - 117191 = -59*u. What is the hundreds digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-45)\/40*4\/6?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 108277*i - 15448.\nAnswer: 108277","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2053391 and 74124?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 AM and 5:52 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-5\/2)\/w)**(1\/12)\/((w*w\/w**(-14)*w)\/(w*w**(-23))) assuming w is positive.\nAnswer: w**(-941\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*r**2 + 9*r**2 - 92*r + 10*r**2 + 92*r.\nAnswer: 12*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9934582, -9934648, -9934766, -9934942, -9935182, -9935492, -9935878?\nAnswer: -9936346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(132)*-4)\/(sqrt(300)*-2).\nAnswer: -12*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 60\/24*(-4)\/(-5). Suppose -1242 = -2*o - 2*f, s*o - 7*o = -2*f - 3077. Let h = o - 4927\/8. Which is the second smallest value? (a) 5 (b) h (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10750\/23 + 96796\/207. Let c be 76\/90 + 2\/(-5). Factor 5\/9*y**2 + 0 - c*y**3 + 1\/9*y**4 - n*y.\nAnswer: y*(y - 2)*(y - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*g**2 - 11*g**2 - 8*g - 32*g + 11*g to r*g + w + y*g**2 and give y.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {k: 4, f: 2, p: 1}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 32 and 49901328?\nAnswer: 99802656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nacannonq. What is prob of sequence qo?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**2 - 44*y - 177. Give f(-39).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -5*n**5\/2 + 25*n**4\/2 - 20*n**3 + 10*n**2 = 0?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -295334*c**2 + 3070*c - 1535. Let f(h) = 385*h**2 - 4*h + 2. Let d(v) = -2*b(v) - 1535*f(v). Let g(u) = -23*u. What is d(g(z))?\nAnswer: -162403*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0 (b) -1\/4 (c) -2 (d) -23 (e) -1\/11 (f) 4 (g) -30\/101\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, q: 3}. Give prob of sequence qq.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.7 times 5.18546\nAnswer: -3.629822","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 1155 divide 9058546?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 + 2*o**2 + 7*o - 220. Let a(m) = 2*m**3 - 5*m**2 - 15*m + 440. Let p(x) = -3*a(x) - 7*n(x). What is the hundreds digit of p(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -29*k**2*n**3 + k**2 + 17*k*n + 136*k - 5*n**3 - 31*n**2 wrt n.\nAnswer: -174*k**2*n - 30*n - 62","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -5*d**2. Suppose 2*a + o - 6 = 0, -10 = -2*a + 2*o - 5*o. Let m be (3 + 0)\/(15\/20). Let i(j) = -m*j**a + 4*j**2 - 2*j**2 + 4*j**2. What is r(i(q))?\nAnswer: -20*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pxphvpdhdh. Give prob of picking 1 x, 1 d, and 1 p.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m - 5. Let p be t(-7). List the prime factors of p\/3 + (-160)\/(-12).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3526 + -2?\nAnswer: 3524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(384)\/sqrt(8) + -1)**2.\nAnswer: -16*sqrt(3) + 98","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 - -b8a3aa7?\nAnswer: b8a3aa8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**0)**(6\/17)*(o**(1\/2)\/o)**(-32) assuming o is positive.\nAnswer: o**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, y: 6, m: 2, w: 1}. What is prob of sequence mm?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/(-5) + 84\/15. Suppose c*d = d. Let p be 3*(d - (3 - 20)). What is the greatest common factor of p and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 50430, 102280, 154132, 205986?\nAnswer: 257842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3190 and 116.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2662, -10650, -23954, -42568, -66486?\nAnswer: -95702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1243, 1258, 1273, 1288, 1303?\n\"Answer: 15*m + 1228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + p - 33, -36 = 6*k - k + 4*p. Let h(j) = j**3 + 8*j**2 + 4. Let i be h(k). Solve -2*u + 4 = -4, -16 = -i*l - u for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + b - 715 = 0, -4*b + 34 = 3*q - 412. Suppose 5*k - 4*a - 147 = q, 0 = 2*k - 5*a - 119. What is the remainder when k is divided by 16?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -402836*h - 336567 wrt h.\nAnswer: -402836","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -171527 and 0.01904.\nAnswer: -3265.87408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 60 = 34. What is the closest to -2 in 0.4, a, 5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -368*b**2 + 57*b**2 + 170*b**2 - 1 + 5 + 55*b + 2*b**4 - 57*b as d*b**2 + u*b**3 + c*b + i*b**4 + v and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 85.8*0.6671\nAnswer: 57.23718","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-63)\/(-147))\/(5 - (-344)\/(-70)). Let v be (-14 + 1)*1\/(-3). Let 0 + 4*h**2 - 1\/3*h**f + 2*h**4 - 4\/3*h - v*h**3 = 0. What is h?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*6*(sqrt(108) - sqrt(15)\/sqrt(5)*1).\nAnswer: -30*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1532416.\nAnswer: 2, 41, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 79 - 77. Let h(j) = j - 2 + a*j + 6*j - 2*j. Determine h(-2).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, -14, -69 in decreasing order.\nAnswer: 2, -1, -14, -69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the second derivative of b**4\/12 - 14*b. Let i(y) = 31*y. What is i(l(n))?\nAnswer: 31*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -s + 2*v + 3, 4*s + 5*v = -33. Let r(u) = -83*u + 4. Does 10 divide r(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*b**3 + 64*b**2 + 1331*b wrt b?\nAnswer: -42*b + 128","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 + 50 + 2*s**2 - 35 - s**2 + 5. Determine j(0).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 4*j**2 - 21*j - 14. Let o be h(6). Suppose b - 99 = -o*u, 5*u - 115 = b - 4*b. What is the greatest common divisor of 208 and u?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 2*p + 778. Let v(k) = 4*k. Calculate v(g(z)).\nAnswer: 8*z + 3112","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 171 = -4*p - 2*y, 3*y = -9. Suppose -9*z + p = -3*z. Calculate the greatest common divisor of 21 and z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 3\/2, -1 in decreasing order.\nAnswer: 3\/2, -0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand d + 0*d - 4*d + (3*d - 4*d + 3*d)*(15 - 3 - 4) - 396 + 253*d + 396.\nAnswer: 266*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 280 = 11*w. Is 12 a factor of (138 - 2)\/(16\/w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 275*o = 255*o + 146 + 114 for o.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1790 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 3*x**3 + 35*x**2 - 65*x - 1. Let a be f(2). Solve 5*z + a = 8 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -45, -18, 27, 90, 171, 270?\nAnswer: 387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, 0.21, -90, -4, -9540?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of s**6 - 8*s**3\/3 + 3. Find the third derivative of l(u) wrt u.\nAnswer: 360*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a + 9. Let v be r(0). Let s be -2 - (-6)\/v*18. Solve 16 = -5*w + 3*w + 4*j, -s = 5*w + 5*j for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3*4\/3)\/(-2). Suppose -5*x - m*o = -0*o + 1694, 0 = 5*x + 5*o + 1685. Is x\/(-5)*17\/4 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65 = -5*s - 3*n, -5*s + 2*n + 56 = -34. Calculate the greatest common factor of 48 and s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -43.32 + 45.5224. Let o = n + -2.2. What is o rounded to 3 decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -30*i**3 - 6305*i**2 - 31800*i - 5125.\nAnswer: -5*(i + 5)*(i + 205)*(6*i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(384) + (sqrt(384) - sqrt(384)*3) + sqrt(24))\/(sqrt(972) + sqrt(972)*-3).\nAnswer: sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes before 2:44 PM?\nAnswer: 5:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 13 - 3. Let k(g) = 0 - g**2 - l*g**3 - 1 + 4*g**3 + g. Let p(j) = -3*j + 11. Let w be p(3). Determine k(w).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 13*w - 4. Let x be q(3). Suppose -327 = -4*k - 5*p, -2*p - 63 - x = -k. Let f be (-2 - -2*2) + k. Round f to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1629 (b) 3 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -44*r**2 - 4*r - 10. Let l be p(-6). What is l rounded to the nearest 100?\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22 - -21. Let q(p) = -5*p**2 - p - 2. Let b be q(h). Let x = 12 + b. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 321*i**3 + 317*i**3 - 1578*i**3 + 308*i**3 + 314*i**3 + 319*i**3.\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (43\/387)\/((-1)\/(-1)).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21840?\nAnswer: 2, 3, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 149433 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 268881 to the power of 1\/3, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 666 - 689.96. Let n = 837.26 + z. Let a = n - 770. What is a rounded to zero decimal places?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2\/3 - 8048*b\/3 + 5364.\nAnswer: (b - 8046)*(b - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 z when three letters picked without replacement from {z: 1, c: 1, y: 1, t: 2, i: 1, x: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 - 5*v - 55. Let p be x(10). Let l be (6 - 9) + (-60)\/p. Solve l*q = 14*q - 20 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2384 divided by -4\nAnswer: -596","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7742 - 5494. What are the prime factors of m?\nAnswer: 2, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -50 - -2. Let r be (15 - -6)*b\/(-14). Suppose 0 = 2*h + 5*p - 67, 46 + r = 5*h - 4*p. What is the greatest common factor of h and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1b - -1807266?\nAnswer: 1807285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -20*j**2 - 977*j + 110. Calculate b(-49).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2479, -5022, -7587, -10186, -12831?\nAnswer: -15534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 8*g - 3 + 4)*(-27 + 7 - 11)*(2*g**2 - 4*g**2 + 0*g**2).\nAnswer: 496*g**3 + 62*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.613 and -0.03982.\nAnswer: -0.65282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/675648 and -31\/65688?\nAnswer: 4729536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes after 9:55 AM?\nAnswer: 10:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 2 = 9. Let o(m) = 4*m**2 - 3*m + 13. Let s be 2 - -1*(-2 + 0). Let i(g) = g - g**2 + 0*g**2 + s*g**2 - 4. Determine r*i(k) + 2*o(k).\nAnswer: k**2 + k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 67 + -62. Suppose 2*l + 3*c = 59594, -2*l - 3*c = -p*l + 89406. What is l rounded to the nearest 1000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 753?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 327, 1332, 2995, 5316?\n\"Answer: 329*u**2 + 18*u - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 711106070?\nAnswer: 2, 5, 71110607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 102043998\/12177 + (-2)\/33 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 42, 60, 102, 180, 306, 492?\n\"Answer: 2*s**3 + 4*s + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(117)*2 + -5.\nAnswer: -5 + 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 80 + -65. Suppose 0 = 3*h + w, -2*v + 4*h - 5*h = -37. Is 11 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -3*s**2 + s**2 + s - 4*s**2 - 2 + 0*s**3 + s**3. What are the prime factors of j(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(-2) - (8 + -2)\/(-12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -12\/5, 1\/3, 0.1, 0.3404, 24, 0?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 34*z**2 - z - 1. What is the tens digit of n(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 233252200 to the power of 1\/6, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 + 20*4)\/(-5). Let v = -123526 - -3705301\/30. Let o = s - v. What is the common denominator of o and 36?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 579 not equal to 295?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 62 - 5*g + 5*g - 7*g**2 + 8*g**2.\nAnswer: g**2 - 60","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -272449.8 - -13.\nAnswer: -272436.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 3*y = 1904, -y = 2*m + 3*y - 1906. What is the first derivative of 81 - m*k**2 + 1991*k**2 - 993*k**2 wrt k?\nAnswer: 98*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5344*j**2 + 4667*j**2 - 7984*j**2 + 0*j + 0*j as l*j**2 + u*j + p and give l.\nAnswer: 2027","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -114209388 from 0.7.\nAnswer: 114209388.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/(-9)*-6*1. Let f = 39 - 37. Let c(h) = 2*h**2 - h + 0*h**2 - h + 3*h**2 - f. Calculate c(i).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -4 (b) 0.3 (c) -818\/259\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 p when three letters picked without replacement from {p: 3, w: 2, s: 3, a: 10}?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107537 is divided by 58.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 168*c**5*d*y**3 + 21*c**3*y**3 - 215*c**2*d*y**3 - 6*c*d*y + 2*d*y**2 wrt c.\nAnswer: 10080*c**2*d*y**3 + 126*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-7)*(-140)\/(-40).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the third derivative of -p**6\/120 - p**5\/15 - p**4\/24 + p**3\/6 + 3*p**2. Let z be a(-4). Put 0, -5, z in ascending order.\nAnswer: -5, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (44\/(-8))\/(((-28)\/(-112))\/((425\/10)\/(-17)))\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -h**3\/3 + 475*h**2\/3 - 58406*h\/3 + 681200\/3 = 0.\nAnswer: 13, 200, 262","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -1 - 191*x + 180*x - 29 + 0*x**2 + x**2. Calculate the remainder when 38 is divided by w(14).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**4 - 8*z**3 - 84*z**2 - 72*z + 162.\nAnswer: 2*(z - 9)*(z - 1)*(z + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(5) - (sqrt(5) + 1))*1 + sqrt(605)*2 + 1 + -5)*5)**2.\nAnswer: -5500*sqrt(5) + 61125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(245) + -4 + sqrt(245) + -6*1*sqrt(245))**2.\nAnswer: 224*sqrt(5) + 3936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 12*x**3 + 17*x**2 - 38*x + 60. Let b(o) = 17*o**3 + 27*o**2 - 56*o + 89. Let g(d) = -5*b(d) + 7*j(d). Determine g(-17).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 - -767?\nAnswer: 770","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*x + 16. Is 15 a factor of (4\/x)\/((-2)\/(-123))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26356 - 41*l**2 - 26233 + 52591.\nAnswer: -41*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o - 4*y + 94 = -3*o, 5*y = 5. What is the common denominator of -57\/20 and (-3)\/(-9)*(-117)\/o?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5513 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:15 PM and 4:06 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 86 + -53. Let c be (o - (-1 + 1 - 1)) + 2. What is the highest common factor of c and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1))**6\/(((n*n**4*n)\/n)\/n)**(-30) assuming n is positive.\nAnswer: n**114","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1048 = 39*x - 44. Suppose 1260 = 5*t - 2*f, t - 4*t = -5*f - 756. Calculate the greatest common divisor of x and t.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -180 at most -178?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1293 is divided by 162?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -6*(-2)\/(1 + 3). Suppose t - 9 - 6 = -l*f, 2*t + 3 = 5*f. Let q(g) = g**3 - 19*g**2 - 2*g + 42. Calculate the smallest common multiple of q(19) and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 6362, 23716, 52660, 93200, 145342, 209092, 284456, 371440?\n\"Answer: c**3 + 5789*c**2 - 20*c + 592","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*d**2 - 14*d**2 + 10*d**2.\nAnswer: -26*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 194*((-1100)\/368 - -3) and -9\/7.\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/3345000 and 83\/10313750.\nAnswer: 123765000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 35 - -41. Suppose -m = -4*y + 216. Suppose 4*t + 56 = 4*x, 5*x - 4*t - y = -2*t. What is the highest common factor of x and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 184*s - 49*s + 17*s - 14.\nAnswer: 152*s - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 24\/18 - (-4)\/6. Solve q = 2*m - m + 7, -2*q = i*m - 6 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/(o**(-4\/9)\/o))\/o)\/(o*o**(-15)))**(-16) assuming o is positive.\nAnswer: o**(-2224\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 0 + 87*h + 2 - 91*h. Suppose 0 = 5*y - c - 22 + 49, -3*c + 6 = 0. Let l(z) = -z**2 - 5*z + 2. Determine y*s(a) + 4*l(a).\nAnswer: -4*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 315*d**3 + 5*d**2 - 5*d**2 + 0*d**2.\nAnswer: 315*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -424904 (base 12) to base 8\nAnswer: -3771024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20712380\/41704057 - 2\/279893. Let l = 8850\/4619 - m. Which is greater: 0 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5\/14 in 1\/4, 3, 4, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 + -1)\/1 - -1. Let u be 1 + f*30\/2. Let n = u + -11. List the prime factors of n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j = -16 + 80. Let c = 2807\/6 - 466. Calculate the common denominator of -4 - 18*14\/j and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 25 = -5*w, 3*t = -0*w - 5*w + 19. Differentiate 287*d + d**t - 287*d + 8 wrt d.\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 65258?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand q**4 - 2*q**4 - 2*q**4 + 4*q**4 - 5*q**4 - 5*q**4 + (-5*q**2 + 3*q**2 + 0*q**2)*(-5*q**2 + 0*q**2 + 3*q**2) + 0*q**4 - 15*q**4 + 3*q**4.\nAnswer: -17*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 18*q**4\/5 - 12*q**3 - 336*q**2\/5 + 192*q + 768\/5 = 0.\nAnswer: -4, -2\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17060 is divided by 56.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 3\/14*16\/12\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31 and 45\/473.\nAnswer: 473","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*i + 0*i + 3*i - i - i + 3*i - i - i + 3*i + (2 - 5 + 1)*(i + 4*i - 3*i))*(-i**3 - 4*i**3 + 3*i**3) + 2 - 34*i**4 + 35*i**4 + 6.\nAnswer: 7*i**4 + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d**2\/7 - 96*d\/7 - 90\/7 = 0. What is d?\nAnswer: -15, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22 - 13*o + 22)*(-5*o**2 + 5*o**2 + o**3).\nAnswer: -13*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*l**2 + 5*l**2 + 2*l**2 - 4*l**2 - l + 15*l**4 - 1 as a*l + j*l**4 + t + h*l**3 + w*l**2 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*b**2 + 272*b + 268 = 0. What is b?\nAnswer: -67, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the third derivative of -1\/24*u**4 + 0 + 0*u + 1\/6*u**3 - 4*u**2. Calculate z(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes before 7:30 PM?\nAnswer: 7:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/15, -3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 13*l = -2847. Let x = 367 - l. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 - -86a36?\nAnswer: 86a39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3*-47*1\/3. Let h = f - -128. Suppose -3*c + 30 - 3 = 0. What is the greatest common factor of c and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**2 - u - 3. Suppose 3*j = 4*j. Suppose j*g + g - 6 = 0. Suppose -3*d + d - g = 0. Calculate r(d).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 2*s = p - 16, -17 = 4*p - 5*s. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18248 - -18330.39. Round o to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 7*c - 0*c. Find h such that 11*h + 7*h - c - 46*h**2 + 0 + 19*h**2 = 0.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2006 and 20060?\nAnswer: 20060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 639\/(-72) - (-3 + (-125)\/(-40)) - -33\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s + 3 - 4 + s)*(-7 + 4 + 1) - s + 7*s - s.\nAnswer: 7*s + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 86\/1946655 and 22\/1167993.\nAnswer: 5839965","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1*(5 + -2)*-45. Suppose 20 = -5*b + 95. What is the highest common factor of b and h?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + 2. Let z(g) = -g**3 + 7*g**2 - 9*g + 6. Calculate z(k).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*b**3 - 101*b**3 + 0*b**3.\nAnswer: -153*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -93 + 25 + -6 + (9 + -14 - (-4 - 0))?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -3*y**4\/5 - 186*y**3\/5 - 141*y**2 - 522*y\/5 = 0.\nAnswer: -58, -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 917*v - 836. Calculate y(1).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -93*(-16)\/(-96) + 18.\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -23, 7623\/8, -2?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 5*x + 4*c + 56, 2*c = 2. What is the common denominator of -19\/4 and (-812)\/48*x\/(-14)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 307096 is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, -5, 46, 2.\nAnswer: -5, -3, 2, 4, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - 30 + 143. What is the remainder when 1354 is divided by u?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13785, -27561, -41339, -55119, -68901, -82685?\nAnswer: -96471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*s - 11*s + 5*s - 10*s as h + k*s and give k.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**2 + 9*t - 86. Suppose -12 = 3*s - 0, -3*k + 3*s + 30 = 0. Let c be n(k). Solve c*l + 4*p + 0*p + 36 = 0, 3*l + 19 = -p for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*p**2 - 13*p**2 + 9*p**2 - 126*p**3 - 64*p**3.\nAnswer: -190*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 275617 or 6339219\/23?\nAnswer: 6339219\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 - t + 2*t + 49*t**2.\nAnswer: 49*t**2 + t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 484*u**3\/5 + 8932*u**2\/5 - 996*u + 684\/5 = 0. What is u?\nAnswer: -19, 3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -7*w**2 + 147*w + 3. Let k be f(21). Sort 3\/2, -4, 1, k in increasing order.\nAnswer: -4, 1, 3\/2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -641*s + 4402 + 5213 for s.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (22 - 18) + (-1 - -1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 + 22*s**2 - 9 - 14*s**2 - 12.\nAnswer: 8*s**2 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 291*j**2 + 356*j**2 - 642*j**2 - 2*j + 8*j - 6*j.\nAnswer: 5*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -28515 (base 10) in base 5?\nAnswer: -1403030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*a + 18 + 32 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -4 - 4 - 5 + m + 17 - 5. Give s(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 44764 - 20720. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((r - 4*r + 4*r)*(-4 + 2 + 0) - 4*r - 4 + 4)*(6 - 5 + 6) as q*r + u and give q.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3460.\nAnswer: 2, 5, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -39\/4 >= 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 3 = -3*p - 0*p, p + 3 = -2*t for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 12899*b**2 + 67826?\nAnswer: 25798*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.86 + -1.44. What is the second smallest value in 0.2, l, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -16.3 and -960527.\nAnswer: 15656590.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the first derivative of 3*b**5\/4 + 2*b**3 + 3*b - 8. Let d(p) be the first derivative of y(p). What is the second derivative of d(s) wrt s?\nAnswer: 90*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 190 = 2*i. Suppose -5*p - 3*t + i = 0, 0 = 2*p - 3*t + 8*t. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t + 255 = 295. Which is the second smallest value? (a) -4\/43 (b) t (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**3 + 700*w**2 - 1394*w + 696.\nAnswer: -2*(w - 348)*(w - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17 - 14. Suppose -w + 3 + b = -o, -4 = -2*o. Suppose 0 = 4*p - 4*h - 32, p - 4*h = -p + w. What is the greatest common divisor of 3 and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 15970*m - 1. Give u(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h + 1 - 1 + (-6 + 1 + 3)*(0 + 0 + 2*h))*(0 - 4 + 3).\nAnswer: 6*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1707*w = -611*w - 436*w + 1715*w - 180500 for w.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19473 + 603665\/31. Which is greater: 0 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the second derivative of w**3\/6 + 9*w - 96. Let b(s) = 15*s + 123. Give b(c(g)).\nAnswer: 15*g + 123","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -774 - -2160?\nAnswer: 1275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4 or 45244\/3?\nAnswer: 45244\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minus 11?\nAnswer: 607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand h**2 + 1170 - 369 - 615 + (-5 + 1 - 2)*(3*h**2 + h**2 - 2*h**2) - 7 + h**2 + 7 + (-1 - 2*h + 1)*(-h - 1 + 1).\nAnswer: -8*h**2 + 186","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 69\/8 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 1)*(672 - 30*p - 672) - p - 9*p + 0*p.\nAnswer: 80*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12.87 - -13. Round m to 2 dps.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*b - 25889 - 81465. Suppose -b = -29*i + 1805. What are the prime factors of i?\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*f**2 - f**2 - 8*f + 9*f in the form b*f + g + n*f**2 and give n.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -5*o - 5. Determine y so that 2\/7*y**5 + 1\/7*y**3 + 3\/7*y**o + 0 + 0*y**2 + 0*y = 0.\nAnswer: -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**2 - 3*v - 3. Let q = -30 + 28. Let h be b(q). Let w(r) = r**3 - 8*r**2 + 6*r + 9. Calculate the remainder when 4 is divided by w(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c**4 - 5*c**4 - 2*c**4)*(-2*c - 3*c + 3*c) - 2*c**5 - 2*c**4 + 2*c**4 - 1 + 1 - c**5 + (-2*c - c**5 + 2*c)*(3 - 2 + 1).\nAnswer: c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 327*g**2 + 81*g + 78. What is the units digit of l(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.29722 - -567.98278. Let y = 579 - d. Let o = 11 - y. What is o rounded to 1 dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4\/3*l**2 - 2 - 1\/3*l**3 - 1\/3*l = 0. What is l?\nAnswer: -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1911, 7571, 16991, 30171?\nAnswer: 47111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5260251 + 1301?\nAnswer: 5261552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 - 3*x**2 + 692*x + 4091. Let r be b(-6). Solve 0 = -61*v + r*v + 70 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1184411 is divided by 3772.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i + 4*i - 1 - 4*i. Let j be r(1). Let h(q) = q + 21. Let y be h(j). What is the greatest common divisor of y and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 328 = -0*v + 24*v + 16. Solve 2*z = -19 + v for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 14 = -21. Let c = a - -10. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - (-245)\/(-80)*4) + 5.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 167, -64, 2\/7, -2, 87, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**2 + 2*m - 1. Let l(i) = 5270*i**2 - 11594*i + 5797. Give -11594*g(c) - 2*l(c).\nAnswer: 1054*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 4*d + 9 = 0. Suppose o - 17 = 5*i, 4*i + 23 = -o + 4. Calculate the remainder when d\/4 - 151\/i is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/18*213\/1420?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g - 2 = 14. Suppose 0*w = 5*u - w - 604, 3*u - g*w - 361 = 0. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36331 and 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 24\/(-6) - (6 - 2). Let u be (4\/(-2))\/(z\/12). Let a(p) = -5*p**2 - 3*p**2 + 6*p**2 + u*p**2 + 10*p**3. Calculate a(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 8 = 3*n. Suppose 0 = -5*s + n*v + 75, 0*s - 28 = -3*s - v. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -20*p - 8. Give n(-3).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1461553 divided by 1461553?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1563\/(-312) - -4 - (17 - (-15 - 4048\/(-128)))?\nAnswer: -18\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**2 - 11*c - 23. Let v be m(13). Suppose 2520 = 4*i + 4*a, 0 = 2*i + 2*i + v*a - 2523. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-s + 5*s + 0*s + (-s + 0*s + 3*s)*(-3 + 3 + 2))*((1 + 4 - 3)*(3*s**2 - 2*s**2 + 0*s**2) + 1 - 1 + 3*s**2) to z*s**3 + m*s + p*s**2 + u and give z.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**2 - 17*g - 29. Let q be p(-15). Let u = 0.17 + -6.67. Let j = 6 + u. Which is the nearest to 3? (a) j (b) -2\/17 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -20 - -20. Which is the closest to g? (a) 0.3 (b) 3 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -0.3 (c) 71\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.941 - 4.941. What is the nearest to 0.06 in p, 0.3, -0.1, 2\/9?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 37142*w**2 - 14780*w. Let r(a) = -12380*a**2 + 4925*a. Let n(o) = 6*l(o) + 17*r(o). What is the second derivative of n(z) wrt z?\nAnswer: 24784","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -8*l - 411. Give o(-51).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -7, -5327 in decreasing order.\nAnswer: 4, -7, -5327","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j = -5*c - 45, -c = 3*j + 1232 - 1215 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the second derivative of 0 + 21*r + 0*r**2 - 9\/4*r**4 + 0*r**3 + 1\/5*r**5. Find the third derivative of y(l) wrt l.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 126*u - 122*u - 15747 = 185*u for u.\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2989?\nAnswer: 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8914881 divided by -8914881.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32 is divided by 20?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17 and 731?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 29 - 25. Suppose -2*n + 5 = r, -s*r + 8 = 3*n - 2*r. Solve h + 0 + 5\/2*h**n + 1\/2*h**4 + 2*h**3 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -101*k**2 + 64*k**2 - 30*k**2 in the form a + c*k**2 + d*k and give c.\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:06 PM and 5:01 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 85 and 149583?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -342 - -479. Suppose 2*s = -z - 2*z - 3, -4*z = 3*s + 2. What is the second derivative of s*q**5 + c*q**2 + q - 137*q**2 wrt q?\nAnswer: 120*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:07 AM and 9:39 AM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 2*n = -4. Suppose -2*z - 78 = -n*z. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6968 + 6968 - 4*d**2.\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-6 - 1986\/(-84)) + 96\/(-84))*(-6)\/(-11)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - 0*m + 4*m - 18, 3 = 2*n + 3*m. Let z = 120.9 + -121. Which is the biggest value? (a) n (b) z (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(14)\/sqrt(2))**2 + sqrt(7) - (sqrt(7) - sqrt(63)\/(sqrt(9) - sqrt(36)))**2) + 3 + (-2 + 2*(sqrt(126)\/sqrt(2))\/sqrt(9))**2.\nAnswer: -7*sqrt(7) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3403398758 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.062196181 and 3?\nAnswer: -0.186588543","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 7*n + 2. Let x(s) = -2*s. Give w(x(q)).\nAnswer: -14*q + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 2*h**3 + 1)*(-h + h - 2*h) + (-2*h**3 - 2*h**3 + 3*h**3)*(8*h + 5*h + 14*h) to the form x*h**3 + q + k*h + z*h**4 + v*h**2 and give z.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 2 p when four letters picked without replacement from jpjppppipjjpijj?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.001 and -3.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -441 = 3*m - 21. Let f = m - -138. Is 62 not equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7567 and 112?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -515191 * 0.093\nAnswer: -47912.763","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-14)*p)\/p**(-16) assuming p is positive.\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**2 + 7*n - 4. Let u be k(8). Let z = u + 34. Suppose 4*f - 2*f - z = 0. Calculate the greatest common divisor of 22 and f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0219559 to four dps.\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -989, -985, -981, -977?\nAnswer: -973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2516313 (base 7) to base 8\nAnswer: -1170555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -477*o**2 + 1676*o**2 - 2922*o**2 - 2104*o**2.\nAnswer: -3827*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k**2 - 640*k - 10050 = 0. What is k?\nAnswer: -15, 335","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-9))\/((-9)\/(-54)) - -2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + 2. Calculate the remainder when 59 is divided by 2 + (57\/3 - s).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*i - 17*i + 432 = 0 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 + 4751472850.3218?\nAnswer: 4751472849.8218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52) + sqrt(208)*-2)\/(sqrt(324) + -3*sqrt(324)) + 3.\nAnswer: sqrt(13)\/6 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 818 - 475. Let l = -205 + o. Is 7 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 85 and 11.\nAnswer: 935","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 2138*k**2 + 22*k + 20. Is o(-1) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3622*w + 54*w**3 - 63*w**3 - 85*w**3 - 140*w**3 + 3622*w.\nAnswer: -234*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -1 - y + 0*y**2 - 5*y**2 + 84443*y**3 + 4. Let q be t(-3). What is q rounded to the nearest one hundred thousand?\nAnswer: -2300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 27*n + 160. Let i be d(-6). Suppose 0 = -2*q - 2*q - 12. Put i, q, -20 in descending order.\nAnswer: i, q, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 167*j - 167*j - 2*j**2.\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 128099, 1, 4, 2 in descending order.\nAnswer: 128099, 4, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 331498, 664706, 997916, 1331128, 1664342?\n\"Answer: w**2 + 333205*w - 1708","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 AM and 1:24 PM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -41*n + 45*n - 10389, 8313 = 4*b + 5*n. List the prime factors of b.\nAnswer: 31, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8598d (base 15) to base 9\nAnswer: -715587","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 87043.87 litres in millilitres?\nAnswer: 87043870","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3165285.\nAnswer: 3, 5, 89, 2371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(1\/4)*u*u**(-1\/10))**(2\/21) assuming u is positive.\nAnswer: u**(11\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 613.54 * 472\nAnswer: 289590.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*j - 5*j + j + (-5*j - j + 4*j)*(2 - 1 - 3) + 0 + 0 - 2*j - j - j + 3*j)*(3 - 1 + 1) to p*j + q and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaaapapaaaaaap. Give prob of picking 3 a and 1 p.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, 9, -43, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-2))\/(88\/880)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19931384 and 1522488?\nAnswer: 6952","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 22601514, -5, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - -1. Let d(z) = -2*z + 3. Let g be d(2). Sort s, -5, g in decreasing order.\nAnswer: s, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*c - 2267*z + 2272*z - 27, 0 = -3*z + 15 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 2*k)*(-6*k**2 - 5*k**4 + 6*k**2) - 15*k**2 + 31*k**2 - 5*k**5 - 14*k**2.\nAnswer: -15*k**5 + 2*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13311*y**6 - 16917*y**2?\nAnswer: -1597320*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 573338 and 178.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 66467 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + -20 - (-6 + (-15 - -12)) - (-29 - 6).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express d - 126*d**4 - 2*d**3 + 101*d**4 - 72*d**4 in the form g*d**4 + b*d + t*d**3 + v*d**2 + m and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 29 + -27. Let u = -0.03 + -0.07. Which is the closest to 1\/4? (a) l (b) u (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2a090 (base 13) to base 4.\nAnswer: 103111221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -92 - -79.8. Let m = t - -12. Let f = -13\/2 + 7. Which is the biggest value? (a) f (b) -1\/8 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/21? (a) -2\/35291 (b) -1 (c) 0.5 (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.04, 30, 0.1?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.26383 or -19.8?\nAnswer: 0.26383","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/5 (b) 3\/7 (c) 2\/5 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - -4. Let a = -6 + 5.7. Let h be -8 - ((-5)\/15 + -7). What is the second smallest value in a, h, v?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1690184737+-0.1006\nAnswer: -1690184737.1006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -22955*v**2 - 11288*v?\nAnswer: -45910","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-34))\/(-75*111\/(63825\/(-92)))?\nAnswer: -1\/102","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 3*t - 10 = 0. Let y(p) = -p + 4. Let g be y(0). Suppose 2*h - 22 = -3*u, 0 = -g*h - 0*u + 2*u + 60. What is the remainder when h is divided by t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 200*q**2*x**2 - 10*q - 5*x**2 - 471*x + 2 wrt q.\nAnswer: 400*q*x**2 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7221 - -7220. What is the nearest to 3 in 6, k, -15?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 times 7\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 - 3*f**2 - 31*f - 70. Let q(n) = -n**2 + 3*n - 3. Let u be q(6). Calculate the lowest common multiple of l(8) and u\/(-4 - -1)*1.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 + 3*j**2 - 6*j - 4. Let u be a(-4). Suppose u*x - 27 = 1. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (5 + (sqrt(1539) - (-1*sqrt(1539) + sqrt(1539))) - 2*sqrt(1539)*-1))**2.\nAnswer: 54*sqrt(19) + 13852","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(275) - (2 + -1 + sqrt(275) + sqrt(275))) - (-3 + (sqrt(275) - 2*sqrt(275) - sqrt(275))*5))**2*1.\nAnswer: 13475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(325)*-1 + (sqrt(325) + sqrt(325)*-3)*-5 + 1)**2.\nAnswer: 120*sqrt(13) + 46801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -315*q**2 + 1. Let j be l(1). Let y = 315 + j. Solve 3*c - 5*c = -g + y, 5*c - 15 = -g for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -460235573*c*i**3 + 2200*i**3 + 2900*i with respect to c.\nAnswer: -460235573*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 169289 is divided by 84634.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 18600*7.3.\nAnswer: 135780","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1395895 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 i(r) = -10*r**2 - r - 2. Let l be i(-1). Let w = 46 - -1. Let g = l + w. Is 22 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2.9 in 0, -4, 1, 23?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*u + 6*u - 2*u - u - 4*u.\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(28) - (sqrt(7) + sqrt(7) + 0 + -2))*6)**2.\nAnswer: -864*sqrt(7) + 9216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 660\/40*54\/(-495)*-10.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 703.7 - 704. Let j = 24.6 + -11.6. Put j, 0.2, l in increasing order.\nAnswer: l, 0.2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 3 e when four letters picked without replacement from eiieiemiiieiem.\nAnswer: 20\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -339, -348, -361, -378?\n\"Answer: -2*k**2 - 3*k - 334","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**21)**(-1\/54)\/(f**(-14)*f**(-22)\/f))**(-20) assuming f is positive.\nAnswer: f**(-6590\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t and 1 i when four letters picked without replacement from mutib.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000017184528 to seven dps.\nAnswer: -0.0000172","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -57*n**4 - n**2 + 97*n - 286756 wrt n?\nAnswer: -228*n**3 - 2*n + 97","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(252)*1)\/sqrt(4)*-3 + sqrt(2268) + (sqrt(2268) - (0 + sqrt(2268))) + -4)**2.\nAnswer: -3498 + 432*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 35*k**2 + 1. Let r(f) = 175*f**2 + f + 5. Let w(m) = -m**2 + 8*m - 2. Let u be w(8). Let h(x) = u*r(x) + 11*j(x). Is h(1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 PM and 12:13 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 121 and 121.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of -2*n**3\/3 + 2*n**2 + n. Let k(m) = -m + 1. Let l(x) = f(x) - 3*k(x). Let d be l(3). Is d less than -1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-10)*(-3)\/(11\/((-220)\/(-78)))\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert c0c2 (base 13) to base 7.\nAnswer: 140216","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**4 - v**2 - v + 1. Let k(n) = -21*n**4 - 24*n**3 + n**2 + 5*n + 1. Let g(w) = -6*b(w) + 2*k(w). Factor g(u).\nAnswer: -4*(u + 1)**2*(3*u - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 148090 = 155*d + 135225 for d.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 PM and 7:46 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/(a\/(a*a*(a*a**(4\/3))\/a))))**(3\/40) assuming a is positive.\nAnswer: a**(-7\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -55*q + 154. What are the prime factors of j(-2)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -466\/9 - -52. What is the closest to -0.14 in -0.1, y, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1104 a factor of 9847680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 4 + -1*-2*(3*(sqrt(1573) + 0) - sqrt(1573)))*2.\nAnswer: 88*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fccfcfcccc. What is prob of picking 2 f?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -186704659874\/33987705 - 1\/13595082. Let g = v + 5487. What is the common denominator of g and 59\/5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 4*d = -0*d + 5*d - 2, 6*d = 3*h - 450 + 378 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -3*v + 397, 2*v + 5*i - 306 = -47. What is the greatest common divisor of v and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*x - 6917*x**2 + 8*x**3 + 6917*x**2 + (0*x**2 + 2*x**2 + 0*x**2)*(x - 2*x - 2*x) as j*x + r + i*x**2 + l*x**3 and give j.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -152*s = -86*s - 83*s + 102 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-2)*246\/(-984)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**2 + 471*p - 32540. Calculate h(84).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -109 + 125. Is 43 a factor of j*(-23)\/(-2)*(1 - 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1710 a factor of 35405550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 50, 100, 154, 212, 274?\nAnswer: 340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3\/26 - 31\/182. Let z be (-2)\/(-11) + (1 - 1). Which is the smallest value? (a) -4\/5 (b) q (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4835, -9459, -14079, -18701, -23331?\nAnswer: -27975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 12\/(-2)*(1 - 2). Suppose -2*q = -t*q + 32. Let k(r) = 27*r - 13. Is k(q) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, c: 3, z: 1, d: 1, b: 2, s: 6}. What is prob of sequence sc?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from liiiiiillllliliiill. Give prob of picking 2 l and 1 i.\nAnswer: 120\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1072662 is divided by 536272.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.06 + -0.69. Let h = m - -5.75. Let a = -7 - -12. What is the closest to -0.1 in -0.2, a, h?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9418738*t - 9476 = 9418635*t for t.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3013 + 0*f**4 + 919*f - 196 - 698 - 2*f**4 - 2392 with respect to f.\nAnswer: -8*f**3 + 919","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w + 2 + 2 - 1)*(-1 - 2 + 5).\nAnswer: -4*w + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-2133600)*-70*-40.\nAnswer: 2\/127","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -4, -4097.\nAnswer: -4097, -12, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9*a**2 + 7*a**3 - 5*a**6 + 2*a**2 - 7*a**3 wrt a.\nAnswer: -600*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1147 not equal to -1146?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4 - 10*r**2 - 194*r**4 + 4 + 195*r**4 - r + 59*r**6 wrt r?\nAnswer: 7080*r**3 + 24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -3*n - 6. Let b be z(5). Let j = b + 22. Suppose -j = 5*s + c - 11, 3*c + 8 = 4*s. Solve 5*i + 40 = 3*t + s*t, 5*i + 5*t = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -74*u**2 - 19*u + 169. Let w be t(7). Round w to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 7, j: 1, e: 1, t: 3, w: 3, r: 2}. Give prob of picking 1 w and 2 t.\nAnswer: 9\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-4))\/((-18)\/(-3861)*(-144)\/(-192)).\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -31, 10, 4, -4, 3 in decreasing order.\nAnswer: 10, 4, 3, -4, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 121*q - 125*q. Suppose -q*z - 6*z = -66. What is the highest common factor of 48 and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 491*s - 176*s + 884*s - 10*s + 861*s as d + b*s and give b.\nAnswer: 2050","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + 4. Suppose 2*g - 3 = 4*w + 63, -2*g + 54 = p*w. Calculate the remainder when g is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78*o + 70*o - 369*o + 74*o + 71*o + 73*o.\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.03 + 0.1. Let n = -0.53 - u. Let q be (-4)\/(56\/234) - (1175 - 1192). What is the nearest to n in -3, 4, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the third derivative of -u**5\/30 - 37*u**4\/24 - 5*u**3 - 92*u**2. Let y be b(-17). What is the greatest common factor of 588 and y?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 3*v**2 - 10*v - 13. Let q be g(9). Calculate the greatest common factor of 28 and q.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2\/9 - 8*o\/3 + 70\/9.\nAnswer: 2*(o - 7)*(o - 5)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 80 by 83725.\nAnswer: 16\/16745","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 11905 and 1.\nAnswer: 11905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 - -14.054.\nAnswer: 14.054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -480\/1729 + -2\/247. Let m be 2\/(-32)*-4*-1. What is the nearest to k in m, -5, 5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 129*k**4 - 3*k**2 - 598*k wrt k.\nAnswer: 1548*k**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*l - 34 = -321 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 3 (b) 2.1 (c) -4 (d) -0.06 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -532 - -855. Let t = s + -318. Which is the nearest to -1? (a) -1\/2 (b) -2 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 575 + -571. Solve -4*r = 2*a, -5*a + a = -b*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the second derivative of -5*n**3\/6 + n**2\/2 - 7*n. What is b(1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -42004521 - 1?\nAnswer: -42004522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12871?\nAnswer: 61, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the third derivative of -11*l**7\/840 + 7*l**4\/6 + 15*l**3 + 19*l**2. Let c(m) be the first derivative of i(m). Differentiate c(b) wrt b.\nAnswer: -33*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 5*q - 8. Let t(l) = 11*l**q + 3*l - 2*l - l. Calculate t(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2 and 58989264?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12.97 - -11.1. Let a = -1.87 - k. What is the nearest to a in -5, 10, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -8*v**2 - 8*v**3 + 0*v**3 - 9 - 8 - 9*v**2. Let k be 10\/(-25) - (-174)\/10. Let x(s) = -5 - 6*s**2 + 10 - 3*s**3 - 11. Give k*x(y) - 6*l(y).\nAnswer: -3*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.751529246 rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -391*f - 2441 = -75*f + 1983. Let o(g) = -g**3 - 14*g**2 + 18*g + 245. What is o(f)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7273 + 14485\/2. Calculate the common denominator of b and 55\/237.\nAnswer: 474","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/8 - ((-15444)\/288 + 53))\/(-41).\nAnswer: -1\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*u, -3*t = -0*u + 2*u + 5. Let i be ((-4)\/6)\/((-7)\/3). Which is the closest to 1\/2? (a) i (b) -0.3 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 2*n**4 - 152*n**3 + 2216*n**2 + 25536*n + 56448 = 0.\nAnswer: -4, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*i = -21*i + 168 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/(-15))\/((-42)\/(-30)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the second derivative of -j**4\/12 - 2*j**3\/3 - 3*j. Determine r(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1199.23 times -2392?\nAnswer: -2868558.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/8 - (-34)\/8. Is (0 + -7)\/(y\/(-68)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -32440278*d**2 - 3094700 with respect to d.\nAnswer: -64880556*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -474*-2*2\/6. Suppose 4*h - 373 = 3*p, -3*p - 2*p = 3*h - z. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 264074306?\nAnswer: 2, 31, 4259263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 - 39990*m**2 + 8 + 40009*m**2.\nAnswer: 19*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 685, 1332, 1993, 2668?\n\"Answer: 7*l**2 + 626*l + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -3*b + 20. List the prime factors of 452\/12 + (-6)\/b.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 7, 35, 89, 181, 323, 527?\n\"Answer: 2*i**3 + i**2 + 11*i - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2*(-9)\/(-42))\/(23\/(-23))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Is 1630169 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 h when four letters picked without replacement from hhhh?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00007252463 rounded to seven dps?\nAnswer: 0.0000725","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 212, 485, 756, 1025, 1292, 1557?\nAnswer: 1820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-76)\/(-4674)*41*42\/(-16).\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-1))**(3\/11)\/(s**(-1\/4))**28)\/(((s\/s**(2\/3))\/s)**(-35)\/(s**(-1\/5))**(-14\/11)) assuming s is positive.\nAnswer: s**(-2698\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 29\/3 of a hour?\nAnswer: 580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 246 and 1476.\nAnswer: 1476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 419*j - 139448 = 1904434. Is j a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the second derivative of o**4\/4 - o**3 + 3*o**2\/2 - 4*o. Find d such that h(d) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h - 21. Let d be w(-5). Let g(r) = 14*r - 156. Let q(c) = 5*c - 52. Let b(z) = -4*g(z) + 11*q(z). List the prime factors of b(d).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 910537748.\nAnswer: 2, 17, 13390261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 3:36 PM?\nAnswer: 7:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3633 and 0.3?\nAnswer: 1089.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**2 + 9*r + 9. Let l = 38 - 31. What is the units digit of t(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the second derivative of c**6\/360 + c**4\/12 - 47*c**3\/6 + c. Let z(k) be the third derivative of j(k). Let n(y) = 28*y. Give n(z(b)).\nAnswer: 56*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to 9\/442?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0036006 rounded to 4 decimal places?\nAnswer: -0.0036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 16 = -k, 4*l - 10387 = 4*k - 10351 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 2*q - 25. Let y be p(15). Solve 0*s - s = -y for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2016, 3093, 4160, 5211, 6240, 7241?\n\"Answer: -t**3 + t**2 + 1081*t + 935","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -25741 by 1.\nAnswer: -25741","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03175 to three decimal places.\nAnswer: -0.032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l + 3 - 3)*((-28 + 45 + 25)*(-5*l - l + 4*l) - 12*l - 44 + 41 - 4*l).\nAnswer: 100*l**2 + 3*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 + n + 19*n - 17*n.\nAnswer: 3*n - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 51*i**3 - 1100*i**2 wrt i.\nAnswer: 306","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes after 10:54 AM?\nAnswer: 6:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:15 PM and 2:26 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 - -2776\nAnswer: 2776.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.9 - 3. Let z = 0.9 - -0.1. Suppose -6 = 14*o - 12*o. Which is the biggest value? (a) k (b) o (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -25*z - 370. Let a be q(-15). Solve 0 = -3*i + a*o - 14, -5*i + 5*o - 8 = 2 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 - 4*a**2 - 11*a + 9. Is y(7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + x + 17 - 22 = 0, -2*c - 10 = -2*x for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*r**3 + 12*r**3 - 35*r**3 + 8*r**3.\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*j + 3*j**2 + 8*j - 4*j**2 - 3*j**2.\nAnswer: -4*j**2 - 5*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:34 PM and 9:54 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 309*o**3 + 40846*o + 267*o**3 - 40846*o - o**2 to the form p*o + f + g*o**3 + l*o**2 and give g.\nAnswer: 576","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3154*q**5*z - q**4*z - 2*q**3 + 3*q**2*z + 2*q**2 + 13*q*z + 3*q wrt q.\nAnswer: -189240*q**2*z - 24*q*z - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/2 (b) -3\/1129 (c) 85\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14733071?\nAnswer: 14733071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 397*l = 389*l + 2327 - 15. Calculate the remainder when l is divided by 23.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n + p - 6, 5*n - 16 = -0*p - 3*p. Suppose q + 2*m - 35 = 0, -133 = -4*q - n*m + m. Calculate the remainder when q is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127516583 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 - 8\/20)*10\/12. Which is the closest to z? (a) 2\/3 (b) -3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5)\/(-30) - (-11)\/6. Let f(m) = 7*m**2 - 1. Let x be f(1). What is the third derivative of 0*p**3 + 0*p**3 + 2*p**x - p**l wrt p?\nAnswer: 240*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 720 is divided by 22?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20069)\/2135 + (-13)\/5?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2614*r - 974*r + 3284315 - 3284315 in the form j*r + b and give j.\nAnswer: -3588","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*q + q + 3. Let h be (-550)\/(-15) - (-2)\/q. Let m = -6 + 30. What is the highest common divisor of m and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j + 64 = -0*j. Let g = -5 - j. Let n(l) = l + 2*l - 2*l - g*l. Let z(s) = 9*s. Determine n(z(i)).\nAnswer: -18*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 40303 and 205.\nAnswer: 201515","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (43\/(1075\/375))\/((-6)\/4)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x = -u + 21, x - 4*x + u = 16 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 8263 = o, 3*o = a - 2*o - 8267. What is the thousands digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 2*o - 9 = 3*k, -o - 8 = -2*k. Let g be (0 + 3)*k\/15. Let n be g\/4 + (-1320011)\/44. What is n rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18 - 2. Let n(g) = g**3 - 17*g**2 + 15*g + 22. Let p be n(z). Let f = -6\/25 - -87\/50. Put f, -4, p in decreasing order.\nAnswer: p, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1257464851 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 AM and 5:05 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) -45\/2 (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 614290?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-90)\/150)\/(1\/(-5)*1). Solve -8 = v*k + 7 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9132609055980.000027 - 9132643207994. Let a = i + 34151969. Let q = 45 + a. Round q to five decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -310*y = -287*y - 162978. Does 15 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + -131e3?\nAnswer: -131de","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + 5 + -3 + -2 + 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5658240.00001 + 5658265. Let p = s + -25. What is p rounded to 4 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5\/(-2 + 6 + -3). Solve y*x - x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 93768 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114733 is divided by 476.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 370540?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -37399, -1, 2\/9 in ascending order.\nAnswer: -37399, -1, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3822 - 3820. Let l be 1 + 7 + (-3 - 1). Solve -v - l = -u, u + 2*v - m = 5*v for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -11\/14 (b) 2\/27 (c) 219\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(720)*-1 + sqrt(720))*-5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 3) in base 16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -266 + n**2 + 115 + 118 - 2*n**2 in the form k*n + g + m*n**2 and give g.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 4*m - 2128 = 0, -2*f - 4*m + 5065 = 833. Calculate the highest common factor of f and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -636652903358 + 0.759\nAnswer: -636652903357.241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39312 is divided by 9824?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10572 and 211824?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the third derivative of -f**6\/120 + f**5\/15 - 5*f**4\/24 + 7*f**3\/6 - 27*f**2. Let m be u(3). Solve b + m = -1 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 353 (base 16) to base 6.\nAnswer: 3535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-26)\/(-4)*(-5 - 1). Do d and -39 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07890072 rounded to four decimal places?\nAnswer: -0.0789","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -216 - -5034. What is the thousands digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 653\/203 + 1154065\/1827. Let t = 1540628191\/2457360 - -1\/273040. Let r = q - t. Find the common denominator of 25\/14 and r.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 84279?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 3 + (-4 + 3 - 1)*(1 - 2 + 0) + 0 + 0 - 2)*(45 - 45 + 24*h).\nAnswer: 120*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 122 - 1?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8598 - 8535 - (3 + -2 + 21).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 1028*k**3 + 10*k**2 + 3*k - 2228. Let x(m) = -5*m**3 + 2*m**2 + m + 1. Let g(a) = 5*x(a) - y(a). Differentiate g(p) with respect to p.\nAnswer: -3159*p**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/3)\/(36\/27)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2aa299 (base 11) in base 12?\nAnswer: 1b3050","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.24 - -2.64. Let v = c - 18.4. Is -1\/5 less than or equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, -5, 2, 189, -12 in ascending order.\nAnswer: -12, -5, -1, 1, 2, 189","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -21130 (base 4) in base 9?\nAnswer: -741","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -434*w**5 - 42*w**2 + 19 - 32*w**2 + 74*w**2 + 26*w - 11*w wrt w?\nAnswer: -8680*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 335 = -3*a + 1436. Calculate the remainder when a is divided by 182.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 96 and 8096?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -45 + 29. Let f = 40 + c. What is the highest common divisor of 192 and f?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 55 + 69?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-6)*(-2)\/(-24)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express g**3 + 3*g - 513*g**2 - 4*g + 505*g**2 in the form w*g**2 + x*g + c*g**3 + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -5 + 2 + 1239\/56 + (-6)\/48. Solve -9 = 3*b, -k + z*b - 7 = 23*b for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -9 and -0.12458.\nAnswer: 1.12122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15 - 16 - g**2 - 3*g**3 + 33 + 12*g**3 to the form u*g + s*g**3 + t + m*g**2 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 810461 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 365749?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5765243083 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 >= 1223?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -7*g**2 - 3. Let h(t) = -8*t**2 - 4. Let v(q) = -3*h(q) + 4*p(q). Let d(u) = 9*u. Let a(i) = 8*i. Let s(z) = -7*a(z) + 6*d(z). Calculate s(v(k)).\nAnswer: 8*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1507579, -1507593, -1507623, -1507675, -1507755?\nAnswer: -1507869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/30*20 + 6)\/((-21)\/(-18)).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**1)**(7\/5)*(b\/b**1)**(12\/11))\/((b**(1\/3)\/(b**(-2\/11)*b*b))\/(b**(-2\/11)\/(b\/b**0))) assuming b is positive.\nAnswer: b**(281\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-five quarters of a decade in months?\nAnswer: 2550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 6946, -2134, -11216, -20300, -29386?\n\"Answer: -z**2 - 9077*z + 16024","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2034, 2245, 2590, 3069?\n\"Answer: 67*w**2 + 10*w + 1957","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.01 and 1.195?\nAnswer: -0.01195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 5*s - 3. Let y = -3 + 2. Let o(n) = -n. Let r(c) = y*b(c) - 6*o(c). Differentiate r(d) wrt d.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(((-2205)\/(-54))\/49).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 3127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**5\/2 - 5*m**4\/4 - 3*m**3\/4 + m**2\/4 + m\/4.\nAnswer: -m*(m + 1)**3*(2*m - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/91 (b) 4 (c) 5627\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 11) in base 4?\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 77765?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 3, 0, -2.\nAnswer: -2, 0, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2123102323 (base 4) in base 3?\nAnswer: 1012022112221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*l**2*s - 7*l**2*x**3 + 11*l*s*x**3 - 2*l*s*x + l wrt l.\nAnswer: 6*s - 14*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jgegjjjgpee. What is prob of picking 4 j?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -24*(-19 - 5890\/(-304)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10980 - -10980.019095. Round y to four dps.\nAnswer: 0.0191","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 268*u - 6004 = 426*u for u.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the first derivative of -b**3\/3 - b**2\/2 + b + 1. Let v(h) = -2*h**2 - 59*h + 94. Let y be v(-31). Calculate k(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.737606706 to four decimal places.\nAnswer: 7.7376","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o**2 - o**2 + 3*o**2)*(0*o + 3*o - 5*o)*(25 - 22 - 23)*(1 - 12 + 1).\nAnswer: 400*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -41, -94, -163, -254, -373, -526?\nAnswer: -719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -150 + 262. What is the highest common factor of 14 and b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 p when three letters picked without replacement from pgypydgdggd?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1071\/37 + (363888\/(-4921) - -74)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35329.\nAnswer: 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -3*r**3 - 2*r**2 - 40*r + 2. Let n(a) = -7*a**3 - 5*a**2 - 81*a + 5. Give -2*n(m) + 5*s(m).\nAnswer: -m**3 - 38*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17324449*u**2 - 8271736*u wrt u?\nAnswer: -34648898","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 268149 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18)\/(sqrt(12)\/sqrt(4)) + sqrt(6) + sqrt(6)*1*-1)\/((sqrt(363) + sqrt(363)*-2)*-2) + 5.\nAnswer: sqrt(2)\/22 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-256)\/400*1525\/(-122)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 + 11 - 35*b**2 + 3.\nAnswer: -35*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-2 + -5 + (-2*sqrt(847) + sqrt(847) - sqrt(847) - sqrt(847)) - (-3 + sqrt(847) + 0 + sqrt(847) + 2*sqrt(847)*-4))*-4.\nAnswer: -16 + 132*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 87.02666ml to litres.\nAnswer: 0.08702666","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**3\/3 - 8*j**2 + 17*j - 26\/3.\nAnswer: -(j - 1)**2*(j + 26)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -142147\/3 - -47384. Let r(m) = -m**2 - 2*m - 2. Let d be r(-2). What is the fourth smallest value in -24, -1, p, d?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -952*m - 2124 = -834*m for m.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k - s + 19 = -4*k, 0 = 4*k + s - 16. Solve -4*d + 9 = -4*x - 11, k*x = -5*d + 25 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(80) - sqrt(5)) + -2)**2.\nAnswer: 12*sqrt(5) + 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 34693553 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 30422 a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i**2 - 77954*i + 77954*i.\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8*k*r**3 - 15357*k*r**2 + 3*r**3 - r - 319958 wrt k.\nAnswer: 8*r**3 - 15357*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 1337*l**2 + 23*l + 7. Let g(o) = -668*o**2 - 7*o - 3. Let y(j) = -3*d(j) - 5*g(j). Find the second derivative of y(n) wrt n.\nAnswer: -1342","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.0544 and 3.8733.\nAnswer: 3.9277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 11781?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes before 6:00 AM?\nAnswer: 10:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 6 + 4. Let b(z) = 2*z - z**3 - 5*z**2 + 3 + 5*z - 2*z**s + 0*z. What is the units digit of b(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11001000101 (base 2) to base 5.\nAnswer: -22410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -14597, -29195, -43793, -58391?\n\"Answer: -14598*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 370\/6 - 15\/(-45)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1766 and 1.863.\nAnswer: 1767.863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34694932.\nAnswer: 2, 103, 84211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n - 2*n**2 - 3*n)*(-64*n + 4 - 49*n + 20*n).\nAnswer: 186*n**3 - 8*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*b - 7*b**2 - 32*b + 2*b.\nAnswer: -7*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 482.7386 rounded to the nearest integer?\nAnswer: 483","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -105, -482, -1103, -1962, -3053, -4370, -5907?\n\"Answer: k**3 - 128*k**2 + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26*(468\/(-13))\/(-72).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.2, -2\/7, -3\/4, 425, 5, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 3, m: 2, a: 4}. What is prob of sequence nama?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 3) in base 11?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3743.931 millimeters?\nAnswer: 3743931000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 5*d - 21 = h, 2*h - 5*d - 9 = 0. Let q(i) = h*i - 5*i - 6*i. Let s(r) = -4*r**2. What is s(q(y))?\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1757973487 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1923, -2, 0, -15, -26.\nAnswer: -26, -15, -2, 0, 1923","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1)\/(-3))\/(-1) - 156\/(-36). Factor -6 + 12*n**2 - 2*n**2 - g + 3*n**3 + 5*n - 8*n**3.\nAnswer: -5*(n - 2)*(n - 1)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 2, 0.137, -1 in increasing order.\nAnswer: -1, 0.137, 0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 + (-21)\/6*-2. Let c(j) = 9*j - 4. Let v be -2 + (-4)\/(-3)*6. Let m be c(v). Calculate the greatest common divisor of m and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 550*z**5 - 13*z - 4 wrt z.\nAnswer: 11000*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 l, and 1 t when three letters picked without replacement from {r: 4, l: 4, d: 3, t: 4}.\nAnswer: 48\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.0092 times -94.599\nAnswer: 0.8703108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -35 + 59. Solve -i = 2*a + 2*a - t, i - 5*a = -21 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 306096 and 168.\nAnswer: 306096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 24039399 smaller than 24039383?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.6 - -2.6052. Round u to three dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6127 and 748?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.4 + -0.3. Let z = 7 + -6.96. Let h = 5.04 - z. Which is the nearest to -1? (a) w (b) 3\/5 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 519041 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/d**4)\/d)\/((d**(-5\/3)\/d)\/d))**44 assuming d is positive.\nAnswer: d**(-44\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:59 AM and 6:55 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 113287.\nAnswer: 113287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -312*i = -311*i - 70. Suppose -2*z = 6*m - 2*m - i, 2*m - z = 33. Solve -13*y + 4 = -m*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d be 405*(-2 - (-24)\/9). Calculate the greatest common factor of 30 and d.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2905 = 5*m + 5*x, 0*x - 7*x + 611 = m. Calculate the greatest common factor of 1890 and m.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 244988?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (9 + -7 - (2 + 2))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-14)*k*k\/(k\/(k**(-3\/4)\/k*k*k))*k*((k\/(k\/(k*k\/(k*k\/k**8))))\/k)\/k**18 assuming k is positive.\nAnswer: k**(-91\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-15)\/10 + 2\/(-4). Suppose 13*y = -4*y. Is ((-2)\/(h + y))\/((-3)\/(-639)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8)\/3*6\/(-8). Suppose -24 + 10 = -x*k. Solve b - 2*d - 11 = -0*d, 2*b - k = -d for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -954 to the nearest one hundred.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -218314.904 + 217488. Let y = 824 + b. Let p = y - -2.8. What is p rounded to 2 decimal places?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in t + 8*t**3 - 7*t**3 - 5*t + 4*t**3.\nAnswer: 5*t**3 - 4*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -38552 - 23903. Let q be (a\/31592)\/((-30)\/40). Let d = 1\/2154 + q. Find the common denominator of d and 2\/25.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 106*g**3 - 216*g**3 + 105*g**3.\nAnswer: -5*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z**3 - 14*z**3 - 2*z**3)*(6 + 0 - 2).\nAnswer: -72*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -4 (b) -8105 (c) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 294566.36 rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(77)*6 + sqrt(77) - sqrt(77) - (sqrt(77) + (4*3*sqrt(77) - sqrt(77) - sqrt(77))))\/(-6*((-2*sqrt(66))\/sqrt(6) - (sqrt(11) + -1*sqrt(11)*4))).\nAnswer: -13*sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 5*l**5\/4 - 569*l**4\/2 - 5499*l**3\/2 - 8312*l**2 - 39983*l\/4 - 8295\/2 = 0?\nAnswer: -5, -2, -7\/5, -1, 237","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -330 - -352. Calculate the smallest common multiple of y and 892.\nAnswer: 9812","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-450)\/(-720)*7\/(-35)*2*-3\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the first derivative of 1229*k**4\/4 + 1220*k**3\/3 + 932. What is the third derivative of g(y) wrt y?\nAnswer: 7374","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the third derivative of -4217*g**5\/60 - 6704*g**2 - g. Let r(l) = 2*l**2. What is j(r(s))?\nAnswer: -16868*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 3*o + 2, 0 = 2*s + 2*o - 12 - 0. Suppose 0 = 4*j + s + 3, -2*r - 3*j = 38. Calculate the remainder when -3*(r\/4 - 25) is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 22 + 3*n**2 - 38 - 2*n**2 wrt n?\nAnswer: 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2*s - 2)*(508*s**2 + 305*s**2 - 469*s**2 + (-2*s + 2*s - 2*s)*(-s + 1 - 1)).\nAnswer: 692*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 2*r + 2*r - 5*j, -3*j = -3*r + 6 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 13752?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 - -10. Let x(w) = -w**2 + 3*w + 7. Let d be x(q). Let n(f) = -3*f + 2. Give n(d).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k*k*k**0)\/k)**(-2\/69))**33)**43 assuming k is positive.\nAnswer: k**(-946\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -3*u. Let v(n) = -3*n - 5. Let k be v(-5). Suppose x - 4*r - 16 = 0, -2*x + 9 + k = 5*r. Suppose -4*c + 4*z = -x, -6*c + c = 5*z + 5. Determine f(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w**2 + w**2 + 0*w**2)*(20 - 11 - 14).\nAnswer: 5*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from {n: 6, p: 7}.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*k + 44*k - 3080 = -51*k. Solve 36 = -13*j - k for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 5, h: 5}. Give prob of picking 1 h and 3 d.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1101111 (base 2) to base 9\nAnswer: -133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -614*j + o = -615*j - 3, -4*o - 23 = 5*j - 3*o for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(-3) - (-12)\/36. Solve j = -3*f - 3, 3*q - 2*f = -2*q - 3 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 3 + 2 = -3*z, -3*z + 2*y - 4 = 0. Let b be 338\/4 + (z\/(-4) - 1). Suppose 2*x - x - b = 0. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.104? (a) -6.3 (b) 47 (c) 0.1 (d) 16 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g + 2*g**4 - 7*g - 9*g + 3*g**2 - 3*g**2 + 2*g**4 + 2*g**3 - 2*g**3 - g**4 + (-g**2 + 0 + 0)*(2 - g**2 - 2) + 2 - 2 + 2*g**4.\nAnswer: 6*g**4 - 14*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 45190 and 1350.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f. Let a(x) = 4*x + 2. Determine -a(y) - 2*w(y).\nAnswer: -6*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**2 - 5*v - 8. Let n(r) = -r**2 - 10*r - 17. Let x(c) = -5*k(c) + 2*n(c). Does 17 divide x(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -491507 + 24?\nAnswer: -491483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 307 + -299. What is the greatest common divisor of t and 488?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22, -167, -554, -1303, -2534?\nAnswer: -4367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3852 and 350532.\nAnswer: 350532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2096?\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-43)\/(20769\/(-46)))\/(10\/(-45)).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 37.5 + -0.125778\nAnswer: 37.374222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(80) + (sqrt(80) + (-1*sqrt(80) - sqrt(80)) + sqrt(80) + 1 - sqrt(80)) + sqrt(80) + 2 + sqrt(80) + 2)*5)**2.\nAnswer: 2000*sqrt(5) + 8625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 31 in 0, -2\/5, 3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 455625029?\nAnswer: 3583, 127163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 67*f**3*i**2*l**3 + 1235214*f**3*i*l**3 - 68*f**3*i*l - f*i**2 - 31603*f*i*l**2 - 2*f*i*l - f*l + 2*l**2 wrt l.\nAnswer: 402*f**3*i**2 + 7411284*f**3*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -1\/5 (b) 2\/15 (c) -0.02 (d) 1 (e) 0.56 (f) 0.02 (g) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8 + (-1)\/(5\/20). Suppose -2*t + 6 = i, -i + 2*t - h + 18 = 0. Suppose -n = -4 - i. Does 14 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -23.4, 5\/6, 0.5, 4 in descending order.\nAnswer: 4, 5\/6, 0.5, -23.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -615 divided by -41?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes after 12:16 AM?\nAnswer: 7:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7445136 to the nearest integer?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2531903368?\nAnswer: 2, 19, 16657259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2*(-188)\/(-4)*11?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 - 3*h**2 + 6*h - 6. Let w be o(-5). Suppose 3*j - 28 = 5*f, -w = -3*j + 3*f + 10. Let m(q) = q**2 - 6*q + 8. Give m(j).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b**2 + 0*b**2 - b**4)*(-b + 0*b - b) - 35*b**3 + 35*b**3 - 19*b**5.\nAnswer: -17*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes after 7:45 PM?\nAnswer: 2:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 2*y + 8 = -6, -3*y - 10 = g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82 = -366*y + 370*y - 9*u, y + 17 = -4*u. Solve y = -14*l + 17*l - 2*o, 4*l + 5*o = -6 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -17 - 7. What is the common denominator of (-367)\/(-70) + 6\/15 and ((-15)\/p + -1)*21?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4 - 7)\/(1\/8)*-2. Suppose -3*x - 81 = 3*a - 0*a, 4*a = 2*x + b. Is (-4)\/(-10)*(-15145)\/x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 8)*(-3*j**2 - j**2 + 6*j**2)*(-1 + 1 - 2*j).\nAnswer: -32*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 389 or 387?\nAnswer: 387","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + 1 + -63 + 64 - -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 659*s - 3947. What is the smallest common multiple of 3198 and b(6)?\nAnswer: 22386","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 46269\/10? (a) -0.03 (b) -1\/2 (c) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -828, -809, -770, -705, -608, -473, -294, -65?\n\"Answer: g**3 + 4*g**2 - 833","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the first derivative of b**3\/12 + b**2\/8 - b\/2 + 18. Factor c(q).\nAnswer: (q - 1)*(q + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 338 and 3276024.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -107, 77, 265, 457?\n\"Answer: 2*s**2 + 178*s - 287","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15404.\nAnswer: 2, 3851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5250 and 1200.\nAnswer: 42000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5884 - -5949. Calculate the highest common divisor of 12545 and k.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*l - 11*l + 20*l - 2)*((0 + 1 - 2)*(5*l - 2*l - l) + 2*l + 2*l - l + (l + 2*l - 4*l)*(-1 + 1 + 2)).\nAnswer: 5*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 - 2*c - 1029. Let i(u) = -u. Determine i(p(k)).\nAnswer: -k**2 + 2*k + 1029","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -123 + -10?\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dsddsdbbdss. Give prob of picking 2 d and 1 b.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 1317?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -73 - -78. Put -3, v, 2, -2 in descending order.\nAnswer: v, 2, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 311611.\nAnswer: 317, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.1116 * -0.2\nAnswer: -0.02232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*2*sqrt(110))\/(sqrt(10) - -2*sqrt(90)).\nAnswer: -12*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 29 - -1. Let k = 17 + -5. Calculate the highest common divisor of y and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the third derivative of 0*h**3 + 0 - h**2 - 1\/60*h**5 + 0*h**4 + 0*h. Let r(p) = 4*p**2. Calculate r(y(f)).\nAnswer: 4*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51999.\nAnswer: 3, 17333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 8, i: 1, a: 1, t: 1, y: 2, c: 3}. Give prob of picking 1 i and 1 y.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 - 3)*(0*o + 2*o - o) - 3*o + 0*o + 0*o - 3*o + 2*o - 2*o + (-14 + 14 - 8*o)*(0 + 0 + 2).\nAnswer: -20*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-144)\/3132*-29*2\/(2\/9).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89738 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 56526 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2\/5 (b) -1\/5 (c) 92 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.2 (b) 2 (c) -1 (d) 5 (e) 11\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 181 is divided by 57?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/3 smaller than 58?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 33a (base 12) in base 16?\nAnswer: 1de","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 2975*q + 75. Let v be m(-37). Round v to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*f - 0. Let i(y) = 542*y**3 - y**2 - y + 1. Is i(f) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -16 + 26?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2461 and 0.06.\nAnswer: 147.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 25 = 3*p, r = p - 6. Let j be (r\/(-1))\/(-2 - -3). Let o(z) = -71*z - 2558. Let x be o(-36). Sort x, j, -7 in decreasing order.\nAnswer: j, x, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18938653?\nAnswer: 29, 653057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -61, 152, 501, 986, 1607, 2364?\n\"Answer: 68*r**2 + 9*r - 138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7340373952 to the power of 1\/10, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -33 + 33.115. Let f = j - 0.215. Which is the second smallest value? (a) 0.1 (b) 4\/7 (c) f (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 5, o: 2}. Give prob of picking 2 u and 2 o.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -291 - -309. Solve -f = 5*f + p for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -33.995 + -0.005. Let l = 38 + h. What is the biggest value in l, 3\/4, 0?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*y - 11*d + 13, -235*y = -234*y + 4*d - 2 for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 109 + -73. Let s(u) = u**2 + 4*u - 6. Let w be s(-6). What is the greatest common factor of v and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes before 1:15 AM?\nAnswer: 2:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 221?\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v = 8*v - 280. What is the common denominator of 3\/12 - 205\/v and -61\/8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40693 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1571 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2.83 or -36\/13?\nAnswer: 2.83","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 191, 397, 617, 857, 1123, 1421, 1757?\n\"Answer: k**3 + k**2 + 196*k - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 + 39 = 13*t. Suppose -5*j - 56 = -t*g, -5*j = -5*g + 20 + 55. Calculate the remainder when 35 is divided by g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(1539) - ((sqrt(1539)*-2)**2 + sqrt(1539)))*-5 + (5*sqrt(684)*-2)**2).\nAnswer: -297540","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -58 greater than -61?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7632 + 7517522\/985. Let f = m + -396\/985. Which is greater: f or -40.6?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a century in months?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 109820351 by -103.\nAnswer: -1066217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 12 + -212?\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1759872.6s in hours?\nAnswer: 488.8535","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -f6 + -1b?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 336000 - -136?\nAnswer: 336136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -59 * 101056\nAnswer: -5962304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 627398.7ml to litres.\nAnswer: 627.3987","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -10*a + 63. Does 10 divide w(-37)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 952 divide 1598408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 45125 and 114?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 - 7 = -5*m - 4*b - 4, 5*m - 5*b = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-6)\/2)\/(30\/(-11) - -1). Let b = -533\/285 + m. Suppose -2*q = 3*h + 11, 4*q - 3 = 5. Sort h, 0, b in descending order.\nAnswer: 0, b, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 2*j + 5. Let t(c) = -3*c - 5. Let y be 33\/(-9) - (-6)\/9. Let l(z) = y*t(z) - 4*a(z). Calculate l(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5165730 to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.6 - -70.6. Let v = d - 64. Let w = -17\/69 + -2\/23. Sort v, w, 0.4.\nAnswer: w, 0.4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 262805, 525842, 788881, 1051922?\nAnswer: 1314965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + 4*r + 56, r - 16 = -3*z + 14. Calculate the remainder when 40 is divided by z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8676*c - 52 + 12630*c + 52 - 3948*c.\nAnswer: 6*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 203303628?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**2 + 16*d + 3. Let w be a(17). Is (-14080)\/w - (-10)\/35 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 AM and 12:49 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38603293.\nAnswer: 43, 897751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 15241.1 and -6.78?\nAnswer: 15247.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.601 - 0.584065. Round n to 4 decimal places.\nAnswer: 0.0169","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -2*w**3 + 2*w**2 + 2. Let a be z(2). Let f(l) = -6*l + 17. Calculate the remainder when f(a) is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -53*k. Let j(u) = -20*u. Let s(q) = 8*j(q) - 3*v(q). Let l(f) = -119*f**2 - 2. Calculate l(s(y)).\nAnswer: -119*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 63 and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1240503?\nAnswer: 3, 11, 37591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -247*u**2 + 6*u - 10. Let f(l) = -249*l**2 + 4*l - 12. Let w(v) = 4*f(v) - 5*q(v). Find the second derivative of w(p) wrt p.\nAnswer: 478","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0213562 rounded to three dps?\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -106507, -106510, -106515, -106522, -106531, -106542, -106555?\n\"Answer: -f**2 - 106506","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -316 - -214. Let h = l - 254. Let g = h - -355.9717. What is g rounded to three decimal places?\nAnswer: -0.028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (((3 + sqrt(2057) + sqrt(2057))*-2 - sqrt(2057))*3 - (2 + sqrt(2057) + sqrt(2057)*-4 + 4))**2.\nAnswer: 6336*sqrt(17) + 296786","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -115553624 + 115553624 + 2*w.\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 164173 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 times -1172.7?\nAnswer: 15245.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2 - 8*v - 252. Give l(-7).\nAnswer: -147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -603628, -603503, -603378, -603253?\n\"Answer: 125*g - 603753","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**2 + 3*h + 5. Let j be i(5). Let b(g) = -g + 1. Let q(n) = 3*n - 2. Let l be 6\/(-2)*-1 + -3. Suppose -6 = -l*z + 3*z. Determine j*b(m) + z*q(m).\nAnswer: -m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(80\/32*(-48)\/10).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 368\/12328 - 69\/67.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -396161 times 386?\nAnswer: -152918146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (285\/(-620))\/(23465\/4940).\nAnswer: -3\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -27 in -2\/7, -0.5, -0.3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:03 AM and 7:05 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7316 + 7315.99979255. What is f rounded to 5 dps?\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/15478673 and 62\/57.\nAnswer: 46436019","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 3551*i + 212. Let a(w) = -50*w - 3. Let u(d) = -212*a(d) - 3*t(d). Is u(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -141, -107, -49, 45, 187, 389, 663, 1021?\nAnswer: 1475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.0146 (b) 0.04 (c) -4\/17 (d) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 715944 is divided by 1336.\nAnswer: 1184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - 5.97. Let f = r + -1.03. What is the smallest value in -2, -0.2, f?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/4 - (-222)\/24. Let p(u) = -u - 1. Let x(m) = 7*m - 8. Let k(f) = 6*p(f) + x(f). Let z be k(s). Sort z, 0.4, -2\/11 in increasing order.\nAnswer: z, -2\/11, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.08 - -0.08. Let l = 0.122 - -0.068. Let k = l + -0.18. Put k, x, 0.3 in decreasing order.\nAnswer: 0.3, k, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12907 less than or equal to 322676\/25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3579 + -2840. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + 8. Suppose -5*b - 2 = -4*n, 5*b - b - q*n + 4 = 0. Let i = 4 + -4. Put i, b, -1 in descending order.\nAnswer: i, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22180859 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:24 AM and 5:48 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 10*w + 62. Let k be s(-5). What is the highest common factor of k and 114?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 4*x - 0*g - 78, 70 = 4*x + 5*g. Suppose -3*m = -m + x. Let p be (8\/10)\/((-4)\/m). Solve 4*o = 3*o - p for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ciyyocffcyy. Give prob of picking 1 i and 1 c.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3705 and 8132.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2316387755 to the power of 1\/7, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -360 divided by 6?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 9, 2*z - 4*s + 3*s = 3109. Let m = z - 3830. Let r = m - -20498\/9. Calculate the common denominator of -15\/4 and r.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 4 = -3*v. Suppose 0 = -0*s - v*s + 12. Find the second derivative of -s*n + n + 2*n**2 + 3*n wrt n.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 883*j + 22 = 879*j - 2*u, -3*u - 28 = 5*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 2*n + 0*n - 3 = 0, s - 4*n - 5 = 0. Suppose 0 = 4*x - 4*m, -m + 2*m - s = 0. Suppose c - x = 18. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4876397, -9752795, -14629193, -19505591, -24381989?\nAnswer: -29258387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 3\/2, -3, -1\/4, 561?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -307, -559, -197, 1085, 3593?\n\"Answer: 51*l**3 + l**2 - 612*l + 253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(1\/10))**5 assuming l is positive.\nAnswer: l**(9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 + (-3)\/9*-6. Suppose -3*t + a - 12 = 0, -4*t = 4*a - x*a + 16. Let c = 35 - t. What is the greatest common factor of 13 and c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1565062.298 rounded to the nearest ten thousand?\nAnswer: 1570000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 u when four letters picked without replacement from {u: 11, d: 2}.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 49825, 49788, 49753, 49720, 49689?\n\"Answer: a**2 - 40*a + 49864","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 286 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - p = -8*c + 1315, -2*c + 514 = 2*p. Let q = -144 + c. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6637 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 - 5*j**2 - j - 7. Let k be u(-5). Suppose -5*d + 7 = -3*o, -d - 5 = 4*o + 12. What is the third smallest value in -0.5, o, k?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - 0. Suppose 4*u + 2 = -k. Let g = u - -8. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 2*f - 10 = 0, 5*f + 9 = -125*w + 127*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5883099 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -32, -128, -294, -530, -836, -1212, -1658?\n\"Answer: -35*w**2 + 9*w - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 8 = -6*j. Suppose 5*s + 123 = j*f, -5*f - s + 350 = -5*s. Does 29 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + o - 3 = -5*f, 16 = 2*f - 4*o. Let a be (48\/(-14))\/((-4)\/14). Let l = a + -8. Solve f*p - t + 9 = -l, 0 = -t + 5 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (-24)\/(-228) + 994\/304?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 + 16 - (1 + (-5 - 2))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -131 + -4222?\nAnswer: -4403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 804 a factor of 18125276?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from kobobbbbbbkbbb.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -159, -465, -921, -1527?\n\"Answer: -75*k**2 - 81*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 467 - ((-1)\/(-4) + 15\/20). Let m = 460 - d. Which is bigger: m or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 6, t: 2, d: 3, n: 4}. Give prob of picking 1 r and 1 n.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*u + 0*u - 7*u)*(-5 - 3 - 10)*(3*u**2 + 4*u**2 - 5*u**2) to l*u + t*u**3 + f*u**2 + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(567)*-1*1*-2)**2.\nAnswer: 2268","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5557526243 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - 3. Let v(s) = -s**2 - 4*s - 1. Suppose r = 4*w - 7, -3*w - 6 = 2*r + r. Let i be v(r). Solve x + i*y = o, 12 = -0*x + 4*x + 4*y for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -29*y**3 + y + 27*y**3 + 20 - 99 - 37 - 3*y**4 to the form j*y**2 + x*y + q*y**3 + r*y**4 + w and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11985 and 14664?\nAnswer: 1246440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 105 is divided by 4\/6 - (164\/(-6) - -1).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 181989853 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least 3\/216451?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(1\/13)\/(j\/(j\/(j*(j*(j\/j**(-7\/2)*j*j)\/j)\/j*j*j))) assuming j is positive.\nAnswer: j**(-219\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 - 15. Let u(o) = -1. Let b(c) = j(c) - 4*u(c). Suppose -6*z = -3*z. Let f be b(z). Which is bigger: -10 or f?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/(-12) + (-6)\/(-8). Let k be 1*(h + -1) - 2. Let o be (-5)\/k + (-4 - -2). Does -2\/5 = o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 + 393\nAnswer: 392.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pd when two letters picked without replacement from ppppppdprpp?\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 31849015291 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -29587549 divided by -5?\nAnswer: 29587549\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14 - 7) + 48 + -67?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 356, 335, 292, 221, 116, -29, -220?\n\"Answer: -p**3 - 5*p**2 + p + 361","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -295 - -293. What is the biggest value in y, -44, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((-1 + sqrt(432) + (-2*sqrt(432) - sqrt(432)))**2 - (sqrt(432) + -1)**2*1).\nAnswer: 72*sqrt(3) + 1300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 70\/21*(-3)\/(-2). Suppose 0 = -3*j + 2*x + 29, j + x - 4*x = n. What is the second derivative of -b + 8*b**2 + j*b + b**2 + 5*b wrt b?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -13*z - 6. Let k(b) = 1 - 56*b - 1 + 42*b - 7. Calculate -7*g(s) + 6*k(s).\nAnswer: 7*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - -0.9. Let d = b + -0.4. Let u = -0.5 - d. What is the second biggest value in -0.3, -2, u?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41239353*h + 41239087*h + 9842 = 0 for h.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**3 + 3084*f**2 - 161128*f - 334560.\nAnswer: 4*(f - 51)*(f + 2)*(f + 820)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 331 = 2*n - 3*k, 4*k - 269 = -257. Solve 17*j = 68 - n for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3*2\/6*2. Let k = n + 3. Let c(a) = 3*a - 11. Let u be c(4). Is k < u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 52 (base 14) to base 2.\nAnswer: 1001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 7\/4, 77, 7, -267?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.24 and 25126570?\nAnswer: 6030376.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r\/((r\/r**(-2\/3)*r*r)\/r))**(-7\/11)\/((r\/(r\/(r*r**(-1\/6)*r)*r))\/(r**(2\/11)*r)))\/((r**(2\/5))**46*r**2\/(r\/(r**(-6)\/r))) assuming r is positive.\nAnswer: r**(-1279\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3002209, -3002205, -3002199, -3002191?\nAnswer: -3002181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2 and 127.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 43 = 3*m, 2*m + 15*i + 57 = -31 - 34 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -2*z**3 + 3*z**2 + 7*z + 1. Let i be v(-2). Solve 29*n - i*n = -15*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.03, 53, 1\/4, -0.07, 3\/5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3*((-7)\/3 - -1). Let l = 108 + -103. Solve -h*m - 15 = l for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 3*p**3 - p + 1. Let j(n) = -n**2 - n. Let i(s) = 4*s**2 + 23*s + 6. Let h(u) = -i(u) - j(u). Let f be h(-7). Determine m(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 14) to base 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*k = -9*k - 20975. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(1\/6)*k)\/(k\/k**(-13)*k*k) assuming k is positive.\nAnswer: k**(-89\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.7, 2\/105, -34827?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**2 + 1. Let j(r) = 4*r**2 - 8*r - 1. Let n(l) = j(l) + 3*s(l). Let m be n(8). Find the third derivative of 3*v - 2*v**5 - 2*v - v - 3*v**m wrt v.\nAnswer: -120*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -799*y**2. Let a(m) = -2*m**2. Determine a(x(t)).\nAnswer: -1276802*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1232\/(-203) + (-6 - (-170)\/29)\/(-2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from uuuumummuumuuuumum.\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 32961472009 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -62 + 58. Put 3, 0, t, -5 in decreasing order.\nAnswer: 3, 0, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 825 is divided by 92?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 43860074?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.02852005 + 76.5.\nAnswer: 76.52852005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10\/(-250)*-10*3035?\nAnswer: 2, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 140 and 240?\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6559015623?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (256\/160)\/(1\/(-2)*-4)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (86\/(-6))\/((-1)\/48). Let a = 3422\/5 - n. Calculate the common denominator of a and -2 - 3\/((-48)\/82).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 37*j**2 - 3*j + 3. Let g(r) = 79 + 850*r**2 + 1345*r - 1413*r - 11. What is 3*g(z) - 68*y(z)?\nAnswer: 34*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -12 + -5 + 33 + -33\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 3 - 2)*(0*l + 0*l - 6*l)*(0 - l + 0) to v + t*l**2 + m*l and give t.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 8, 52, 126, 230?\n\"Answer: 15*z**2 - z - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 411768 and 336.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -390, -402, -424, -462, -522, -610?\nAnswer: -732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.813 rounded to one dp?\nAnswer: 2.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*r + 6*r + 105 = 0. Suppose 2*c = 13 + 5. Let y be -4 - -7 - r\/c. Put 0.4, y, -5 in decreasing order.\nAnswer: y, 0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2674691125.8 take away -8253?\nAnswer: -2674682872.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*4*sqrt(11))**2 + sqrt(11) + ((sqrt(704) + -3)**2 + sqrt(704) - sqrt(704) - sqrt(11)) - (-3 + 3*2*sqrt(11)*6)**2.\nAnswer: -13376 + 168*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (-4 + 3 - (-23 + 13 + 7)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1010010011001 (base 2) to base 5.\nAnswer: -132043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1 - 26*c**2 + 1 - 374*c**2 + 5 + 0 - 33*c wrt c.\nAnswer: -800","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9.662 in -0.4, -2, 2, -5, 2\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_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: Put 4, 4\/7, -2\/3 in decreasing order.\nAnswer: 4, 4\/7, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ylll. Give prob of sequence lly.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c**3 + c**3 + 7*c**3)*(-1 + 1 + c**2).\nAnswer: 11*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-3 - -1)*1)\/(16\/(-88)). Let s(r) = 2*r**2 - 12*r + 24. What is the hundreds digit of s(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 - 2*a**2 + 5*a - 2. Let m be r(-4). Let n = m - 30. Let d = 21 + n. Solve 0 = -z + 4*h + d, 3*h = -z + 3 + 5 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -11 - -2135?\nAnswer: 2124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -158*c - 73575 = -62673 for c.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 0.1 (c) -2211 (d) -5 (e) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - 1d?\nAnswer: -1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 + 0)*-1 + -2. Let i be 63\/120*32\/1960. Which is smaller: i or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1893, -4194, -6495, -8796?\nAnswer: -11097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 42*f**2 - 2. Let n be i(-1). Calculate the greatest common divisor of n and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 679928536 to the nearest integer?\nAnswer: 26075","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 42913278\nAnswer: -1\/42913278","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 11 = -2*x + 4*w, 4*x = 5*w - 1 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 5*g = g + 32, -2*w = -5*g + 33. Let o be w\/16 - 25\/(-4). Let l(s) = 2*s - 6. Give l(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -82 + -189. Let x = o - -356. What is the remainder when x is divided by 27?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*r - 23. Is -1 smaller than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -2*w - 16. Let r(j) = -2 + 2 + 1262327*j - 1262309*j. Give r(c(o)).\nAnswer: -36*o - 288","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, u: 5, v: 4, j: 1}. What is prob of picking 1 j and 1 v?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -92643656 and -1.5?\nAnswer: 92643654.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(180)*2*-4)\/(sqrt(360) + sqrt(360)*1).\nAnswer: 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f - 26 = -2*g + 4*f, -4*g + 3*f = -19. Solve 33 - 12 = -g*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 38\/10 + 20\/(-25). Find the third derivative of 7*i**3 - 7*i**c + 8*i**2 + 15*i**5 wrt i.\nAnswer: 900*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105*w - 163*w + 24*w = 3904 for w.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -51.86184668 and -46?\nAnswer: 5.86184668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 444881781?\nAnswer: 3, 16477103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 52501 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(9 - 8)*14\/6?\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -28312 + 27768.975. Let w = g - -0.025. Let h = -542.99641 - w. Round h to four decimal places.\nAnswer: 0.0036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52*190\/(-152)*(-295 - 0)?\nAnswer: 5, 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -3*g**2. Let y(t) = 1. Let f be 0 - (2 + -1 + -2). Let s(p) = f*y(p) + m(p). Find the first derivative of s(n) wrt n.\nAnswer: -6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10509 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5411874?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 5*u - 7 = 0, 3*u - 15 = -t - 3*t. Suppose 4*g + 4*f = 692, g - 52 = t*f + 129. Let x = 58 + -33. What is the highest common factor of g and x?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 + 2. Let a(v) = -4*v**3 + 3*v**2 + 2*v. Let m be a(o). Suppose 0 = -5*i - 0*i + m. Is i a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14954 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 211*d**2 + 2 - 5 - 209*d**2 + 3.\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 688, 1240, 1694, 2056, 2332, 2528, 2650, 2704?\n\"Answer: s**3 - 55*s**2 + 710*s + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -37*s**3 - 264*s - 21*s**4 + 99*s + 276*s**2 - 27*s**3 + 25*s**4 - 195*s = 0?\nAnswer: 0, 3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9089554 and 1196?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven eighths of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -12455 (base 6) to base 4\nAnswer: -131303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 63, 56, 4\/59 in descending order.\nAnswer: 63, 56, 4\/59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**2 - 9*b + 8. Let t = 12 - 24. Let a be 40\/t*12\/(-5). What is g(a)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 31842.62mm?\nAnswer: 31842620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*x**2 - 41799*x + 1676760 = 0. Calculate x.\nAnswer: -13973, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 4 = 4*g - 24, 4*g = -3*n - 8 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8 and 200?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1382\/15 + (-2)\/15. Let c = 92 - a. Suppose -u = -c*u. Sort -4, -3, u, 1.\nAnswer: -4, -3, u, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from atmumt. Give prob of sequence am.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * 657.7.\nAnswer: 197.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -86, -63, -36, -5, 30, 69?\nAnswer: 112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from zqpqppppzqppqppp?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.65349272 and 0.1.\nAnswer: -0.065349272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 2)*(4 + 0 - 2)*(-7 + 7 - 8*q**4) + (-q**2 - q**2 + 0*q**2)*(q - q + 2*q**2).\nAnswer: -20*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 545 - 541. Let g(d) be the first derivative of 0*d - 15 + a*d**2 - 28\/3*d**3. Find the second derivative of g(f) wrt f.\nAnswer: -56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 275114187 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*u**3 + u**3 + 6*u - 9*u.\nAnswer: 3*u**3 - 3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6159878449 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 491512 a multiple of 469?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + p = -2 - 19, 78 = 4*f - p. Calculate the highest common factor of 1197 and f.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p = -2*c + 18, 6*c - 7*c = -5 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the first derivative of g**7\/280 + g**4\/12 - g**3 - 4. Let f(n) be the third derivative of a(n). Differentiate f(d) wrt d.\nAnswer: 9*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 354606 + -137083. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 14*r**2 - 2*r - 34. What is the least common multiple of n(-4) and 462?\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*n = w - 21, 2513*w = -2*n + 2517*w + 8 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4\/6)\/(14\/(-21)). Let m(f) = -308*f + 7. Is 4 a factor of m(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the third derivative of o**5\/30 + 7*o**3\/6 + 7*o**2. What is the derivative of p(t) wrt t?\nAnswer: 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -111952 > -111962?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and -202.9?\nAnswer: -101.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27127234.\nAnswer: 2, 13563617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 17586029573 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -170*t + 7170. Determine h(42).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 79806614 to the power of 1\/2, to the nearest integer?\nAnswer: 8933","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: -1332 (base 4) to base 11\nAnswer: -105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-22)\/(-110) - (0 - (-13887)\/(-15)) a multiple of 76?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 2*r = -26, -13*c + 16*c + 60*r - 59*r = 15 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 - -3. Suppose -l + 5*r + 7 = -0*l, b = 3*l + r - 5. Let f = -22.25 - -25.25. What is the closest to f in -0.4, 1\/2, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*3\/(-3)*(-1)\/(-5)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (11\/(-36))\/(-36 + 411\/9) and 151\/12.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2487.2521 + 2427.2520805. Let i = z - -60. What is i rounded to 6 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/1305 and -52\/80475.\nAnswer: 241425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j + 5. Let r be v(0). Suppose -8 = 4*t, 0*t - 92 = -r*z - 4*t. What is the remainder when 91 is divided by z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 493426 is divided by 1161.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -229 (base 12) to base 2\nAnswer: -101000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s**3 + s**3 - 3*s**3)*(2 + 1 + 0)*(-9*s + 13 - 13).\nAnswer: 54*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bq when two letters picked without replacement from bqqbdqqdbqbq?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2\/5 + 54859*f\/5 + 5486.\nAnswer: -(f - 27430)*(2*f + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 + g**2 - g + 5. Let f be x(0). Suppose -d + 12 = -f*d. Let m be 1 + -2 + 4 + d. Solve 3*w + 9 = 5*u, -u + m - 1 = -2*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40179?\nAnswer: 3, 59, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 4779*h - 5228231. What is f(1094)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/((4\/28)\/1).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -435 + 2367 = -4*z. Let v = -11483 - z. What is v rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/357 and 58374\/3542 - (0 + 16)?\nAnswer: 3927","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * -5953.\nAnswer: 23812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 75 + -72. Let r(b) = -b**3 + 3*b**2 + 4*b - 10. What is the smallest common multiple of r(j) and 11?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 48011*b**3*l**2 + 146*b**3 - 3*b**2 - 4*b*l + 7*b + l**2 - 2*l - 20 with respect to l.\nAnswer: 96022*b**3*l - 4*b + 2*l - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.44, -2\/11, -8, 4\/5, 4 in increasing order.\nAnswer: -8, -0.44, -2\/11, 4\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 7, -7, -5, 1, 320?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2410 + 988. List the prime factors of (-7 + 7)\/(-2) - p.\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rfrkfffrrknrrrrjrnn. What is prob of picking 1 j, 2 f, and 1 n?\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 75293713*n**6 + n**4*p**2 + 416*n**2*p**2 + 2*n**2 - n*p**2 - 3*n*p + 16*p**2 - 129 wrt n?\nAnswer: 9035245560*n**3 + 24*n*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.51 + 8.51. Let y = 14.9 + -13.9. Which is the fourth smallest value? (a) -2\/3 (b) 3\/7 (c) y (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 16 - 2*l**3 + 4*l**3 - 18 - 2*l**3 - l**3 + 0*l**3 + (0*l**2 + 5*l**2 - 3*l**2)*(l - 1 + 1).\nAnswer: l**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + (148\/(-36) + 4)*-135.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-103044)\/4155 + (-4)\/(-30) + 1\/(-3)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in eighteen fifths of a centimeter?\nAnswer: 36000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*o - 8*o + 2 - 3 + 10*o + o**4 + 22*o to the form v*o**3 + k*o + i + j*o**2 + l*o**4 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 f when three letters picked without replacement from pptefetfctecc.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 44\/(-22)*(-70)\/(-315).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 35.5 - 33. Let k = 11.5 - m. Is k at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11128 + -11125. Let c(z) = -z**3 + 6*z**2 - 11*z + 6. Give c(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 141 (base 8) to base 7\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4097?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 213*t = 216*t - 264390000. What is t rounded to the nearest one million?\nAnswer: 88000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 5*n + 7 = 0, -10*n = -11*n + 1 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 + ((-6)\/(-18))\/((-4)\/36). Differentiate 144 - 123 + 39*g**2 + g**3 + 234 + q*g**3 wrt g.\nAnswer: 3*g**2 + 78*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.05, -2, 4\/3 in ascending order.\nAnswer: -2, -0.05, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**2 - 6*y. Suppose -38 = -0*m + 3*m + 5*v, -2*v - 20 = 2*m. Let i be r(m). Suppose i*h = 4*h - 64. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 42 * 0.861\nAnswer: 36.162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:06 PM and 12:06 AM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 AM and 10:54 AM?\nAnswer: 653","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -19*z - 301. Let i be a(-16). Solve -f - 18 = -3*l - 2*l, -14 = -i*f - 2*l for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8, -4, 4, 16, 32?\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2615621 (base 10) in base 7?\nAnswer: -31142501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4 + 47186\/6210 + 2. Let m = t - -1\/621. Which is greater: m or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 8 - 28*j - 8 to the form l + g*j and give g.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -167, 0, 1125, 3, -4, -1 in increasing order.\nAnswer: -167, -4, -2, -1, 0, 3, 1125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2173, -2176, -2179, -2182?\nAnswer: -2185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/(-3) - (1235\/(-57) + 21). What is the third biggest value in -1, -25, 0, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (665\/(-30))\/(-7) - 3. Let u(y) be the second derivative of y - h*y**4 - y**2 + 7\/6*y**3 + 0. Let s(x) = x**2 - 4*x + 1. Determine 5*s(p) + 3*u(p).\nAnswer: -p**2 + p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 175178317?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j*j*j*(j**(1\/45)*j)\/j*j*j*j)\/(j**(1\/8)\/j))\/((j\/(j\/(j*j\/j**(-1\/18))*j))\/(j**(-14\/3)\/j)) assuming j is positive.\nAnswer: j**(47\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2 - c - 4. Let b(i) = -6*i**2 - 5*i - 21. Let g(o) = -2*b(o) + 11*h(o). What is the units digit of g(9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.71 + -0.71146. What is k rounded to 4 dps?\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 37475 and 2075.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -10*25\/(-2) + -5. Is 119 >= z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:40 AM and 6:41 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 57 and 39?\nAnswer: 741","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 - 4*v**2 - v + 4. Let z be p(-3). Let a(s) = -248*s - 3. Let g be a(z). Let d = -4093 + g. What is d rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 - 4*r**2 + r - 17. What is v(4)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 i when two letters picked without replacement from miiisinsqn?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -186 - -212. What is the remainder when 48 is divided by h?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 34*t - 29*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.2 - 0.1. Let u = 11 + -10.86. Let s(v) = -5*v**3 - 24*v**2 - 9*v - 65. Let r be s(-5). Put u, r, p in descending order.\nAnswer: r, u, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -2*o**2 + 2*o - 1. Let m be g(3). Let y be -8 + -3 + 3 + -3. Which is smaller: m or y?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 135\/7 + -519\/28. Let z = 0.9 - 1. Let q = -0.2 - z. Sort q, -5, v in descending order.\nAnswer: v, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2 - 8*m - 7. Suppose 0 = x - 3*x - 4, 5*o + 32 = -x. Let n be w(o). Solve -3 = -2*d - 2*d + g, -5 = -n*g for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 483584.6cm?\nAnswer: 4835846000000","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2 + 2*m - 7. Let y be n(-5). Suppose -15*f + 18*f + 5 = 2*b, 15*b = -2*f + 13. Which is greater: y or b?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -45 divided by -45?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 50984510 to the nearest integer?\nAnswer: 371","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/4 of a century?\nAnswer: 2100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1066 + 1065.7. What is the nearest to 35 in -2, -0.04, k?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/9*1\/(-4)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -29 or -28?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 37311 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 113372 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3070473, -3070468, -3070457, -3070440, -3070417, -3070388?\nAnswer: -3070353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -185*q + 303620 = -151*q. List the prime factors of q.\nAnswer: 2, 5, 19, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 91, 98, 105?\n\"Answer: 7*b + 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 169, 339, 509, 679, 849, 1019?\n\"Answer: 170*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5647327?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w, 1 i, and 1 s when four letters picked without replacement from {i: 4, k: 1, s: 2, w: 3}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 + 18*p**2 + 16*p + 12. Is m(17) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12469 and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 71328 and 96.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 452589?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 527988 = 4*u, -u - 2*u - 396008 = 2*z. Round u to the nearest 10000.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 897 a factor of 11292688?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 8, k: 1}. What is prob of picking 4 k?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let c = -391 + 395. Solve c*m - 6*m = 2*g + 12, -3*g + 2 = -2*m for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -66321939.41 rounded to the nearest ten thousand?\nAnswer: -66320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the second derivative of -1\/24*a**4 + 3*a + 0*a**2 + 0 + 1\/12*a**3. Factor s(t).\nAnswer: -t*(t - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.0631 to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 92, -2 in increasing order.\nAnswer: -2, -1, 92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*h + x + 13, 0 = -2*h - x + 7. Calculate the remainder when ((-9)\/(-6))\/((-18)\/(-120)) is divided by h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 24*f**2 - 19*f - 30. Let x(u) = u**3 + 9*u**2 + 16*u + 37. Let c be x(-7). Is n(c) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**2\/7 - 349*t\/7 - 17568\/7.\nAnswer: -(t + 61)*(t + 288)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 178 divide 1130263154?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:33 AM and 12:19 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*h - 50 = 23*h. Let g be (-39)\/(-3 - (-15)\/h). Let a = 32 - g. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 16320 = 5*l, 2*u - 6662 = 3*l - 131. What is the tens digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 181*k*n**3*v**3 - 5*k*n*v**2 - 4*k*v**2 - n**3*v wrt v?\nAnswer: 1086*k*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from jjpjjpjp?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 129626 is divided by 1054.\nAnswer: 1038","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11 in 16, -5, -0.2, 4?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 12 = 4*z, 479*z + 6 = -6*l + 481*z for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 157\/264 and -45\/64.\nAnswer: 2112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (150\/60)\/(2*-1)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1+1711.81490318\nAnswer: 1710.81490318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 160291?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/40 and 107\/670.\nAnswer: 2680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 + (3 - -403 - 7). Let t = 404 - u. Solve t*d + 1 = 3*p - 6*p, 3*d = -2*p - 2 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2768 and 0.7.\nAnswer: 1937.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 AM and 11:58 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -87*g**3 + 2*g**2 + 147*g + 3. Suppose -11 = 10*h + 19. Let o(d) = -d**3 - d - 1. Let v(s) = h*o(s) - m(s). Find the second derivative of v(n) wrt n.\nAnswer: 540*n - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o**3 - 45847*o**2 - 137534*o - 91688 = 0. Calculate o.\nAnswer: -45844, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*i**2 - 5*i**2 - 58 - 95 + 42 to k*i + v + p*i**2 and give v.\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 775.7 - 817. Let k = -2.7 + v. Sort k, -1, 0.3 in increasing order.\nAnswer: k, -1, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 3*k + 256 - 4*k - 256. Let y(s) = -2*s. Let u(d) = -f(d) + y(d). What is u(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 + -12. Let k be (2 - 1) + (2 - 0). Let t(i) = 2*i. Let l(u) be the second derivative of 5*u**3\/6 - u**2\/2 - 2*u - 74. What is a*t(w) + k*l(w)?\nAnswer: -w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00182226433 to 5 dps.\nAnswer: -0.00182","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 5*w = -12, 1999 = 3*n + 2*w + 2028 for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*u - 58*u = -35. Put -20, u, -1, -2 in decreasing order.\nAnswer: -1, -2, u, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 377*i = 170*i + 673*i - 63376 for i.\nAnswer: 136","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from htphpbnhxtpn. What is prob of picking 1 n and 3 h?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -3c5 (base 14) to base 3\nAnswer: -1001012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 17.9966 or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 352 and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1204166 + 1167?\nAnswer: 1205344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-23)\/(-69))\/((-1)\/(-21)). Solve 2*s - y = -5 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2*-1 + (0 - 3\/3). Let z be (1 + u\/12)*4. Let y(j) = j**2 - 16*j + 16. Let a be y(15). What is the greatest common factor of a and z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**3 - 4*f**2 - 2*f - 2. Let o be u(-3). Let s = o + 8. Suppose -s*c = 2*c + 2750000. What is c rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 0.5, 9.2, -3, -9 in descending order.\nAnswer: 9.2, 0.5, -0.2, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6835 and 1334192?\nAnswer: 1367","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5841060 is divided by 584103.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17172 is divided by 8488?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3242 and -807.01?\nAnswer: 2616326.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 10033 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 135311 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1269901 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 2096*i + 12633. What is s(-6)?\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24 - -18) + (5 - 0 - (-4 + 1))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 389*j - 409. Is h(24) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -9 - -35?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 18 divided by -22810\nAnswer: -9\/11405","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.316540570462 - 10.1\nAnswer: -9.783459429538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mneenixmeem. Give prob of sequence inx.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = h - 5*p + 1, -4*h - 4*p = -20. Suppose -21*t + 18*t + 18 = 0. Suppose -m + t = h. Sort -2, 0, -5, m in ascending order.\nAnswer: -5, -2, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(-1))**(-6)\/(d**(1\/4)*d**(-7)*d)*(d**1*d*d**(2\/13))\/(((d\/d**(-4\/5))\/d*d)\/(d**(-2\/29)\/d)) assuming d is positive.\nAnswer: d**(-52517\/7540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -880 + 315 + 3*q + 302 + 308. Calculate the remainder when 161 is divided by x(4).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, q: 2, e: 4, f: 5, s: 1, u: 2}. Give prob of sequence uqsf.\nAnswer: 1\/1638","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-44)\/90 - ((-3 - 2) + (-3014)\/(-685)).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0.5, -6, 18\/1451, 0.4.\nAnswer: -6, -2, 18\/1451, 0.4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 0.085686868, 3\/4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the second derivative of -121*z**4\/12 + 16*z + 5. Let p(t) = -2*t**2. Determine p(v(j)).\nAnswer: -29282*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -3. Let t(m) = -1. Let p(x) = l(x) - 4*t(x). Let y(a) = 4 - 6*a + a**2 - 9 - 2*a**3 - 7*a**2. Let v(n) = -3*p(n) - y(n). Factor v(k).\nAnswer: 2*(k + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1\/12, -1, -32, -4 in decreasing order.\nAnswer: 4, 1\/12, -1, -4, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 11 = 3*h - 7, 5*o + 4*h + 5 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 32 - 18. What is the remainder when 95 is divided by b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -2*a**3 + 3*a**2 + a**2 - 3*a**2 + 3*a**3. Let l(h) = 6*h**3 + 4*h**2 - 8*h + 12. Let z(o) = -3*l(o) + 15*p(o). Factor z(r).\nAnswer: -3*(r - 2)**2*(r + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 234 and 39.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 977 + -976. Let s = -0.6 - -0.5. Let t = -0.5 - s. Put 0.1, t, x in descending order.\nAnswer: x, 0.1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10944 and 7562.\nAnswer: 2177856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hfhtxhhf. What is prob of picking 1 h, 1 t, and 1 f?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1685903.4 rounded to the nearest 100000?\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (-620)\/(2 + -3) - (-40)\/180*18 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -133\/1152 and 55\/1733808?\nAnswer: 41611392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b + 29. Let q be i(26). Let p be 1*q + (-3 - -8). Solve 4*w = -p + 4 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 2*h + 11, 0 = -2*k + 4*h + h. Let g be (k\/(-3))\/((-35)\/(-42)). Factor 3\/4*s**3 + 0 - 3\/4*s**g + 0*s.\nAnswer: 3*s**2*(s - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-342)\/(-1653))\/(1892\/1247)?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 221566004 to the nearest integer?\nAnswer: 605","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -16568 or -16553?\nAnswer: -16553","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18 + -10. Let z(f) = -f + 11. Let j be z(y). What is the second derivative of -4*x - x + 6*x - 3*x**j wrt x?\nAnswer: -18*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 92 and 414.\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1064 and 152354?\nAnswer: 81052328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 7150758?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 352 is divided by -25*(2\/12)\/((-1)\/6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 1330*s + 48449. Calculate z(-39).\nAnswer: -3421","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the third derivative of 0 + 0*o + 0*o**3 - 1\/9*o**4 + 13*o**2 - 1\/90*o**5. Suppose n(q) = 0. Calculate q.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -15\/736216 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 17018000 to the nearest one hundred thousand.\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 + 5*h**2 + 13*h - 36. Give a(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vszvas. Give prob of sequence zvv.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 242 - 1?\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the third derivative of -u**6\/80 - u**5\/8 + 3*u**4\/2 + 313*u**2. Factor a(f).\nAnswer: -3*f*(f - 3)*(f + 8)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/53, -1.8, -0.12993?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p = -4 - 16, -10 = -5*f - p for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**3 - 76*m**2 - 1407*m + 45. Let p be b(-32). Suppose -4*r + 2*y + 2504 = -r, 2*r - 3*y - 1676 = 0. What is the highest common divisor of r and p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 20 = -3*d. Let p be 34\/12 + d\/(-48). Let t(u) = u**3 - 2*u**2 + 3. Let r(o) = 3*o**3 - 4*o**2 + 7. What is p*r(w) - 7*t(w)?\nAnswer: 2*w**3 + 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -2*p + 1849, -4*p = 3*y - 7*y + 1468. What is the least common multiple of y and 328?\nAnswer: 2952","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/22, 0.3, 42.3, -10, -0.43 in descending order.\nAnswer: 42.3, 0.3, 3\/22, -0.43, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*c + 12*c**5 + 5 - 5 + 13*c wrt c.\nAnswer: 240*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**2 - 17*n - 22. Give f(-16).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-74256)\/(-36) + (-2 - 12\/(-9)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 42359 + -1308. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -146725\/506 less than or equal to -291?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o**2 - o**2 + 0*o**2)*(6*o - 8*o + 4*o**2 + 3*o).\nAnswer: 8*o**4 + 2*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5012, 5011, 5010?\nAnswer: 5009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 264 is divided by 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 5940*s + 363. Let l(w) = 270*w + 16. What is -2*c(q) + 45*l(q)?\nAnswer: 270*q - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -5*n - 33, 5*f + 5 = -21*n + 24*n. Let h(v) = -2*v**2 - 71*v - 5. Let r(g) = -3*g**2 - 107*g - 8. What is n*r(y) + 8*h(y)?\nAnswer: -y**2 - 33*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15 - -26. Let y = q + -9. What is the second derivative of -x**2 + 8*x + 3*x**y + 5*x**2 - 10*x**2 wrt x?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 2 z, and 1 j when four letters picked without replacement from {g: 6, z: 2, j: 5, w: 2, v: 1, p: 1}.\nAnswer: 1\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - 496 + 466 = 0 for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17533054.\nAnswer: 2, 7, 11, 257, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 447*n - 8033. Calculate d(18).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 798 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 11) to base 2\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 + (288\/(-2))\/(-2). Let j(u) = u - 9. Let m be j(7). Let a = m - -11. What is the highest common factor of n and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1043 to one decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13332 (base 4) to base 8.\nAnswer: -776","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 20 = 3*k. Let a be (8 - k)\/(6\/4). Solve 2*u - s - 5 = 0, 0 = -3*u - s - a - 3 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from scccccccccccccc. What is prob of picking 2 c?\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 10*g**3 - 7*g**2 - 7. Let l(a) = 3*a**3 - 2*a**2 - 2. Let p(b) = -b + 3. Let v be p(-3). Suppose 0 = -c + 1 + v. Calculate c*l(u) - 2*m(u).\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 6*k + a + 236 = 0, -5*k - 2*a = -397. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 584 and 64.\nAnswer: 4672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 57143 + -2?\nAnswer: 57141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 4 = -3*u, -2*z + 4*u + 2479 - 2505 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = -2*v + 2*q, 164*q - 159*q + 2870 = -220*v for v.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, v: 19}. Give prob of picking 3 v.\nAnswer: 17\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13028 to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 2*m - 12. Let s be (-17 + 8)\/(-27)*21. Let g(n) = -3*n + 18. What is s*p(v) + 5*g(v)?\nAnswer: -v + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 189604598, 189604593, 189604584, 189604571, 189604554, 189604533, 189604508?\nAnswer: 189604479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -125\/828 and -79\/552.\nAnswer: 1656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*k - 37 + 93 for k.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17 + 28. Let h be 0 + (-3 + p)\/4. Solve 2 = -5*s + h*c, c + 6 = 4*s - 5*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15078163\/39 not equal to 386619?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-119)\/(-21) + 4\/(-6). Suppose -x*g + 23 = 3*d - 34, 0 = -2*d + 3*g + 57. What is the highest common divisor of 3 and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.22 + 1.43. Let b = 0.45 - h. Which is greater: 15 or b?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 PM and 8:09 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the third derivative of -13*d**2 - 1\/6*d**4 + 0*d + 1\/15*d**5 + 0 + 0*d**3. Factor y(a).\nAnswer: 4*a*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3800, -6786, -9774, -12764, -15756, -18750, -21746?\nAnswer: -24744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 82.5 take away 2.857?\nAnswer: 79.643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 52 - 258\/5. Let v = 0.4 + -0.3. Let w = -13 - -8. Which is the nearest to v? (a) w (b) k (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6771 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 15\/1072 and -67\/1405500?\nAnswer: 376674000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 2*a**3 - 4*a**2 - 11*a - 9. What is x(6)?\nAnswer: 213","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 158, 324, 514, 740, 1014?\n\"Answer: 2*j**3 + 152*j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 63*i**3 - 8*i**2 + 13*i + 4. Let r(z) = z**3 + 2*z**2 - 3*z - 1. Calculate j(l) + 4*r(l).\nAnswer: 67*l**3 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:36 AM and 8:36 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fgggfggggf. Give prob of picking 1 g and 3 f.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 145 + -140. Suppose k*t + 9*s = 14*s + 14215, -4*t + 11396 = 4*s. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g + 3*j - 72, -5*g + 28 + 101 = -4*j. Suppose s = 5*m - g, 0*s - s + m = 5. Suppose s*d - 140 = -4*d. Does 13 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 126 and 3122?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*p - 2*p, -j - 3*p = -33. Suppose v - 5*v = -272. Calculate the remainder when j is divided by 12\/18 + v\/6.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1340281 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.43773 rounded to 2 decimal places?\nAnswer: -0.44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.6309646 litres?\nAnswer: 630.9646","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w**3 + 380*w**2 - 47506*w - 8376876 = 0. What is w?\nAnswer: -207, -134, 151","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*p - 16 = 13*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2072*n**3 - 854*n**3 - 35*n**5 + 60*n + 320*n**2 - 793*n**3 + 130*n**4 = 0 for n.\nAnswer: -1, -2\/7, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 15*i + 5. Let s be 3 - 2*(3 + 1). Let j(m) = 8*m + 3. Let c(d) = s*j(d) + 3*l(d). Let h(a) = -a**2. What is h(c(k))?\nAnswer: -25*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes before 8:37 AM?\nAnswer: 10:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6853 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + (-18 - 4) + 2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -14*j. Let o(u) = 12*u + 56. Let n(d) = 7*d + 29. Let a(q) = -7*n(q) + 4*o(q). What is y(a(b))?\nAnswer: 14*b - 294","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - 2. Which is smaller: -0.14 or f?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/150 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 4\/15 of a day?\nAnswer: 384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 433503 (base 10) in base 4?\nAnswer: 1221311133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4144297?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -35 bigger than -101\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9615, 9605, 9589, 9567, 9539?\nAnswer: 9505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**3 - 2*o**2 - o + 16. Let w(k) = -4*k - 36. Let h be w(-9). Let d be q(h). Solve -2*n = -5*j + d, -j = 7*n - 5*n + 4 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-30)\/(-2) + 0\/(-1). Let j be -2 - (4 + (-132)\/6). Suppose -u + 5*w = w - j, 5*u - 3*w - 29 = 0. Solve -2*c = -u*c - 5*h + t, 3*c = -h + 3 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1111 - 12?\nAnswer: -1200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**3\/3 - 16*t**2\/3 - 273*t + 4698.\nAnswer: (t - 27)*(t - 18)*(t + 29)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/225 and 59\/18.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6*(-40)\/60 + 13\/(-6)*-2. Let v be (0 + -1 + -2)*-1. Factor 1\/3*n + 0 - 1\/3*n**v + w*n**4 - 1\/3*n**2.\nAnswer: n*(n - 1)**2*(n + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -3*c + 75, -2*c + v + 49 = -2*v. Let u = c + 24. Does 12 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3, -285, -591, -927, -1299, -1713, -2175?\nAnswer: -2691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 710*y**2 + 95 - 95 - 712*y**2.\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(-6) + (-1785)\/126. Let u(j) = j**2 - 8*j - 14. What is the tens digit of u(g)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + -12. Let z = -22 - -13. Let l = z - q. What is the biggest value in 2, l, -1\/6?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7440 + 7501.43. Let l = 55.4 - p. Let q = 5.7 + l. Which is the third biggest value? (a) -1 (b) 3 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + -0.2. Let m = 309 + -308.7. Sort m, -3, b in decreasing order.\nAnswer: m, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -9*z. Let q(y) be the second derivative of -y**3 - 3*y + 6. Determine q(b(g)).\nAnswer: 54*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -30*d**2 - 3*d*i**3 + 240*d*i - 229244*i**3 wrt d?\nAnswer: -60*d - 3*i**3 + 240*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**15*c**(4\/13))**(-40) assuming c is positive.\nAnswer: c**(-7960\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1991 and 15191?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 2*h**3 + 2*h**2 - h. Let w be i(1). Let l = -12 - -11. Let r(c) = -4*c**3 - c**2 + 3. Let q(s) = -s**3 + 1. Calculate l*r(j) + w*q(j).\nAnswer: j**3 + j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + -3713?\nAnswer: -3712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -2 + -2 + 3 - 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-125)*(-222725)\/481086?\nAnswer: 2\/135","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*f - 6 = -36 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from qwqdqwdq.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 50827341?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -3*a**2 + 19*a - 1. Let v be w(6). Suppose t + j = -0*j + 1362, 0 = -j + v. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llll when four letters picked without replacement from {l: 3, s: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 19.5041 to 1 decimal place.\nAnswer: 19.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 2678.347 nanograms?\nAnswer: 0.002678347","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of 0 + 0*z**3 + 13\/24*z**4 + 0*z - 120*z**2 + 1\/60*z**5. What is q in g(q) = 0?\nAnswer: -13, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1153853.3 and -18944?\nAnswer: 1172797.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/(-54)*-40*(-204)\/247520?\nAnswer: -1\/78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 3*v = -6*v - 19, -15 = -5*v. Calculate the remainder when 74 is divided by f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83*s = 61*s + 1430. Calculate the least common multiple of 1573 and s.\nAnswer: 7865","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 397 = -0*d + 2*z, -653 = -5*d - z. Let j = 147 - d. What is the remainder when j is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/5 in -0.1, -0.22, 3\/5?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a kilometer in meters?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2646 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/(-12) - 39\/(-6). Solve 2*v + q = 5*k, -2*v + v - 3 = 2*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-11)\/(-4) + (-2)\/(-8). Differentiate 5*h**4 + 2 - t*h**4 - 4 wrt h.\nAnswer: 8*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - l - 9 = 0. Suppose -5*q - 2*t + 3 = 0, 2*t + 1 = 3*q + 3*t. What is the lowest common multiple of l and (-2 - q)*(-2 - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 57*v - 94*v - k + 152, -3*v = k - 16 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -177 take away 0.529993?\nAnswer: -177.529993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 33 = v, -7*n + 3*n = 3*v - 130. Solve n*w = 161 + 87 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:14 AM and 3:38 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 divided by -8.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2, 8\/21, -64\/83?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (35\/441)\/((-220)\/120 + 1)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -14*d - 10. Give p(-3).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the first derivative of -l**3\/3 + 7*l**2 - 6*l - 2. Suppose -i - 6 + 18 = 0. Does 9 divide j(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(297)*-2 - sqrt(297))\/sqrt(11))\/(sqrt(90)\/sqrt(360)).\nAnswer: -18*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 771 = 2*s - 917. Suppose -2*v + s = 2*v. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39301 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -10312 (base 4) in base 14?\nAnswer: -182","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1091 - 1087. Let s(h) = h**3 + 4*h**2 + 2*h + 6. Let l be s(-4). Sort p, l, 2 in ascending order.\nAnswer: l, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -117 * -11.\nAnswer: 1287","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.35 + 0.4. Let y = m - 6.05. Let x = -5 - y. Sort -4\/7, -0.3, x in descending order.\nAnswer: x, -0.3, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 262671789?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + -42 + -28 + 58 + (0 + 2 - -57)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the third derivative of -49*g**5\/20 + g**4\/24 - 143*g**3\/6 - 167*g**2. What is the second derivative of w(c) wrt c?\nAnswer: -294","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hi when two letters picked without replacement from {o: 3, i: 6, t: 4, h: 4, u: 3}?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**9*(l*l\/(((l**(-8)*l)\/l*l)\/l*l)*l)\/l)\/(l*l**(2\/3)\/l*l*l)**(-44))\/((l*l\/l**2)**(-2\/79)*((l**(2\/9)\/l)\/l)\/l**(-1\/4)) assuming l is positive.\nAnswer: l**(4927\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 + (-1 + -1 - -2). Let r = v - 3. Which is the second biggest value? (a) 4 (b) r (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12.98 - -4.98. Let y = 0.8 + -0.3. What is the nearest to b in 0.3, y, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -0*s - 2*s. Let o(i) = -4*i**2 + 4. Let f(w) = -w**2 - 1. Let m(l) = s*f(l) + o(l). Differentiate m(t) wrt t.\nAnswer: 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.6 + 0.4. Let v = -2071\/4 + 518. Let s = 0.04 - 0.09. What is the closest to s in -4, w, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven halves of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p - 18 = 4*p. Calculate the smallest common multiple of p and 9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2185.288 rounded to zero decimal places?\nAnswer: 2185","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 - 4*d**2 + 5*d. Let t be u(-5). Let k be 2 + -5 + t + 5. Calculate the remainder when (124\/(-5))\/(k\/(-5)) is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 10*m**2 + 169*m + 503. Calculate p(-13).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 18 divided by -1350\nAnswer: -1\/75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the second derivative of y**4\/6 - 5*y**3\/6 + 3*y**2 - 2*y - 37. Let k(i) be the first derivative of x(i). What is k(5)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 16*d - 15. Let s be y(6). Suppose 3*f + 3*z - s - 3 = 0, -3*f + 86 = z. List the prime factors of f.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-6)\/28)\/(2\/3168). Let n(t) = t**3 - 7*t**2 + t + 30. Let h be n(10). Let z = w + h. Which is greater: 2 or z?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the first derivative of -s**4\/4 - 4*s**3\/3 - 2*s**2 - 2*s - 2. Let f be ((-4)\/(-6))\/((-45)\/(-540)) + (6 - 18). Calculate i(f).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m + 3*m - m)*(-1 - 2 + 4 + (-3 + 1 + 4)*(-5 + 3 + 3))*(-5*m + 3*m + 0*m).\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/1692 and 33\/1532.\nAnswer: 648036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 393959067?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 0.8831856 milliseconds?\nAnswer: 0.00001471976","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the third derivative of -z**5\/15 - 29*z**2. Let c(h) = -8*h**2. What is d(c(k))?\nAnswer: -256*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.670447t to kilograms.\nAnswer: 670.447","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1573)*-1)**2*1.\nAnswer: 1573","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**3 + 6*d**2 - 8*d - 4. Let r be n(-7). Solve b + r*b = -12 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1059610334?\nAnswer: 2, 137, 3867191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -3066930, -6133864, -9200798?\n\"Answer: -3066934*p + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**2 + b - b - 8*b**2. Let v(h) be the second derivative of -35*h**4\/12 - 7*h - 207. Calculate v(n(q)).\nAnswer: -1715*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -9*h + 66. Let r be k(4). Suppose 11*o = r + 2764. 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 value of (4\/1250*5)\/(20\/100)?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1352?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 17*o + 38. Let j(a) = 6*a + 13. Let u(n) = 11*j(n) - 4*x(n). Let h be u(-6). Suppose 9 - 4 = 2*i + v, -4*v = h*i + 5. Solve 3 = -2*z - i for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 333, 330, 325, 318?\nAnswer: 309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 340*m - 6798. Let y be u(20). Solve 3*i - 19 = -2*r - 26, -4*i - 10 = y*r for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of k**3*t**2*w**2 + 88*k**3*t*w + 62590*k**2*t**2*w**2 - 207*k*t*w - w**2 wrt t.\nAnswer: 2*k**3*w**2 + 125180*k**2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10*1\/(-4)*1\/(-20).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4465, -4512, -4551, -4582, -4605, -4620?\nAnswer: -4627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -3260399*o**3 - 12869*o**2 - 12869*o - 12869. Let s(c) = 760*c**3 + 3*c**2 + 3*c + 3. Determine 6*r(y) + 25738*s(y).\nAnswer: -1514*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 217 + -142. Let j = 81 - k. Suppose 0 = j*m - 234 - 528. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-7))\/(506415\/3430)*16\/(352\/143)?\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 5*i - 569 = 0, -15*n + 16*n - 223 = -5*i. Let o = -167 + n. What is the greatest common divisor of o and 93?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, h: 8, a: 4, r: 1, t: 1}. What is prob of picking 3 a?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 49 + 17. What is the least common multiple of x and 6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -335*h**3 + 2*h - 330*h**3 + 669*h**3 - 5 + 3*h**2 in the form a*h + i*h**3 + t + z*h**2 and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 57 - 21 = 0. Suppose -25 = 4*v - h*v. Solve 5*g - 4 = -3*r + 9, -3*r - g = -v for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.07194 and 0.2?\nAnswer: 0.12806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21076 - -21133. Solve j*g = 67*g + 70 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8345268 is divided by 54?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*x**3\/11 - 2*x**2\/11 + 18*x\/11 + 18\/11 = 0. Calculate x.\nAnswer: -3, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 24 = 4*t, 23 = 2*f - 5*t - 0*t for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -6*f - 1. Let p be v(-1). Let y be (0 + p\/1)*11. Suppose -5*i + 0*i = -y. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - m = -6*m - 12, -4*g - 2*m = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72)*5*1)\/sqrt(4) + (3*(-1 + sqrt(98)) - (sqrt(98) - (-3*(sqrt(98) + 1 - sqrt(98)) + sqrt(98))))**2.\nAnswer: -237*sqrt(2) + 918","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 1)*(1 - 1 + 5)*(-3*m**2 + 6*m**2 + 3*m**2).\nAnswer: -30*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -65 + 2148?\nAnswer: 2083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*0.06884173.\nAnswer: -0.006884173","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -34 + 0 + 12 + 9 + -21?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 16) to base 12.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4671*l**2 + 4162*l**2 + 540*l**2.\nAnswer: 31*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.21 in -1\/2, -0.13, 0.9, -4, -9?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 22364573123 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 47, 42, 33, 20, 3, -18, -43?\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38166 is divided by 1382?\nAnswer: 852","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/6*18\/2 - 19. Let q = -11 - x. Suppose q*v = 42 + 198. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**3 + 1255*s**2 + 101920*s + 2641100.\nAnswer: 5*(s + 55)*(s + 98)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4\/6)\/(1\/3). Suppose -5 = -w*p + p. Calculate the least common multiple of p and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + 14. Let z(s) = -5*s + 3. Calculate the remainder when z(-7) is divided by y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24289 and 1135.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162) + -3 - sqrt(162))*-4 - (2*(sqrt(162) + sqrt(162) + -1))**2.\nAnswer: -2584 + 144*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((5 + -2)*53)\/((30 - 33) + -3 + 3).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 12\/(-510)*(0 - 5). What is the nearest to 0 in -2\/7, g, 3\/4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 - 17233022\nAnswer: -17233031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 + 16. Let u = 15 - a. Suppose 7*s = u*s + 44. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -3\/931?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z - 5. Let d be k(-7). Let u be 1 + 0 - (1 - 3). Suppose -d*b + u = -b. Solve 4*w = -b - 5 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44 is divided by -17*(30\/(-12) - 6\/(-4)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 287.38 + -290. Round b to 1 dp.\nAnswer: -2.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 8 = 5*y. Is -3 + 27 - (2 + y) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 723546172.\nAnswer: 2, 29, 6237467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -84*z**3 - 102 + 86*z**3 - 3*z**2 + 3*z**2 as g*z**2 + h*z + k*z**3 + m and give m.\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 54910067189 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 0 + 1 + (15 - 14).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -4, 1, -42, 5 in descending order.\nAnswer: 5, 1, 0, -4, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/5)*g*g*g**(-2))**34 assuming g is positive.\nAnswer: g**(-34\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = 2*a - 2*d, -5*a - 129271 = 3*d - 129266 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 divided by 770806?\nAnswer: -7\/770806","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -5*y**2 - 3*y - 52. Let s be d(-8). Let k = s + 406. Solve k*w - 2 = 57*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 81, 81, 83, 87?\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 1 - 6 + 3*q**3 + 1 - 2*q**2. Let n(s) = 13*s**3 - 9*s**2 - 16. Let y(f) = -9*g(f) + 2*n(f). What is the first derivative of y(a) wrt a?\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -162 + 7?\nAnswer: -155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**3 - 28*f**2 + 34*f - 27. Let j be w(28). Suppose 6237 = 8*g + j. Is g a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000114582028 to six dps.\nAnswer: 0.000115","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(144)\/sqrt(3) + sqrt(3) + 3 + -1.\nAnswer: 1 + 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w + 1546 = -x - 3*w, x = -4*w - 1510. Is (x\/4)\/((-4)\/8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*u*v**4 + 441*u*v + 257*u + 2523*v**4 - 11*v**2 - 1 wrt v?\nAnswer: 24*u*v**2 + 30276*v**2 - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 38131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 7, e: 4}. What is prob of picking 4 g?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 8671.614mg in tonnes?\nAnswer: 0.000008671614","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1234 + -454?\nAnswer: -2021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10032 (base 8) to base 13.\nAnswer: -1b51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 1.7, 1\/2, -7642, 0.4, -3 in increasing order.\nAnswer: -7642, -6, -3, 0.4, 1\/2, 1.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 19057348 at most as big as 95286743\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j - 8*j - 4*j)*(-30 + 30 + 16*j**3) + 2*j**4 - 2 + 4 - 10*j**4.\nAnswer: -232*j**4 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4 + (-1 + -17)*168\/(-16) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -25414 >= -21545?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -4598*z + 1776. Let c(g) = -g - 2. Let u(w) = -a(w) + 3*c(w). What is the derivative of u(y) wrt y?\nAnswer: 4595","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 298*n**3 - 292*n**3 + 2 + 6*n + 15*n**4 - 7*n + n**2 in the form r*n + m*n**2 + o + a*n**3 + l*n**4 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + 3, 6 = -0*d - 3*d + 5*q. Suppose o = d*o - 4. Solve n - o*n = 3 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100000011010 (base 2) in base 9?\nAnswer: 2754","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2449903 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -207\/800 + 29\/100. Let f be 40\/50*10\/36. Which is the nearest to -0.1? (a) -4 (b) h (c) 0.1 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2419 and 85444.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + (-2 - (-6 + 1)) + 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -148, -4\/3, -4\/9, 70 in decreasing order.\nAnswer: 70, -4\/9, -4\/3, -148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 82*m**2 + 9. Let s(z) = z**2 - 22*z - 13. Let b be s(23). Is w(b) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 54946\/15 - 3667. Let o be 52\/3*(-3)\/12. Let z = l - o. Which is the closest to 0.2? (a) -1 (b) z (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000005199451 to 7 dps.\nAnswer: -0.0000052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 65855013 rounded to the nearest 10000?\nAnswer: 65860000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -114674.53 - -114684.443862. Let q = 0.086558 + a. Let l = -10 + q. What is l rounded to 4 decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 (base 10) in base 4?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -311, -621, -917, -1193, -1443, -1661?\nAnswer: -1841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 9626?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 219155 and 174370?\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6848264?\nAnswer: 2, 103, 8311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 30 - 54. Let o be 354\/z + (-3)\/12. Let v = -12 - o. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 11535.59 to the nearest one thousand.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 104 (base 5) to base 8.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8.457 - -8.5. Let m = h + 0.957. Let o be (1 + 27\/(-26))*4. Which is the nearest to -2\/3? (a) m (b) o (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 783856 is divided by 10451.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105*b = -18553 + 20128 for b.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -5*a + 2*a + 7*a - 6*a. Let f(s) be the first derivative of 19*s**3 + 77. Calculate f(y(k)).\nAnswer: 228*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 2*g**2 + 3*g - 1. Let k(v) = -4*v**2 - 5*v + 2. Let h = -13 + 16. Suppose 0 = 2*l + o - 0*o - 12, 6 = h*o. Determine l*x(j) + 3*k(j).\nAnswer: -2*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 589*a**2 + 1182*a**2 - 613*a**2 - 4*a to s*a + h + g*a**2 and give g.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5094.00002979 - -5094. Round w to six decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*376\nAnswer: 376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - -2.08. Let u be (3\/2)\/(-6 - 0\/3). Let a = 2.8 + -1.8. What is the smallest value in u, k, a?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + v = -0*v + 1, -m = 4*v + 22. Let t be -18 + (-1 + m - -1). Is (-2)\/(-8) + (-735)\/t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/672 and -103\/8512.\nAnswer: 25536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - 11?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 + (11 - 1 - 61).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -2260090*n. Let u(z) = -3*z**2. What is l(u(h))?\nAnswer: 6780270*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - (0 - (8 + -3))) + -3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence upnp when four letters picked without replacement from nyvvvyvyvpvvpvyyuv.\nAnswer: 1\/36720","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a**4 + 2*a**2 - 2*a**2)*(-83 - 26 + 32).\nAnswer: -154*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a factor of 1596082?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -519877 divided by 265.\nAnswer: -9809\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/7)*j)**(-3\/26)\/(j*(((j*j**(1\/3))\/j)\/j)\/j*j*j**2)*(j**(2\/7)*j**(-5))\/(j**(-2\/3)\/j**(-2\/5)) assuming j is positive.\nAnswer: j**(-18917\/2730)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 56, 4\/5?\nAnswer: 56","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 12\/(-4) + (-31 - 8). Does -38 = s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/13077973 or 1?\nAnswer: -2\/13077973","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/2 of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 104 and 13208.\nAnswer: 13208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 725 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -702118, -1404206, -2106294?\nAnswer: -2808382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-50)\/(-9) - (-7)\/21 and (1551\/(-54))\/(-11) + 0?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-28)*(-76)\/114*4\/((-12)\/(-441)).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(4 + (-15)\/12 + -3)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1436572 divided by 408?\nAnswer: -359143\/102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/2 - (-15)\/2. Let j = 24 + -20. Let l = -4869 + 4875. Solve -4*b + o = 0, l*b - 22 = -j*c + 3*b for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 672 and 52500?\nAnswer: 420000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-3)\/((-12)\/5077))\/((-11)\/(-44)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 336\/11 (b) -1\/3 (c) 7.4 (d) -4 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2653126 is divided by 913.\nAnswer: 861","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*v + 152 = 537 + 440 for v.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the second derivative of -i**4\/4 - 112*i. Let u(t) = -105*t**2. What is u(v(y))?\nAnswer: -945*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggsggvvjghvgszgg. What is prob of picking 1 z and 1 j?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1238 - -1335. Let b = -25 + -44. Let g = j + b. Is 4 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (35 - 202)*(0 - -7)*-1. Let b = -14011\/12 + j. What is the common denominator of -83\/40 and b?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82 = -41*i + 410 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1164886, 1164892, 1164898, 1164904, 1164910?\nAnswer: 1164916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1034594296 to the power of 1\/3, to the nearest integer?\nAnswer: 1011","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.3 - 0.3. Let p = 18 + -17.72. Let z = p - 0.28. Which is the third smallest value? (a) t (b) -1 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111462 is divided by 34?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 273 - 337 = -16*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -348 + 13?\nAnswer: -335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 + 5*y**2 + 5*y. Let b be q(5). Let x = b + -39. Let t(c) = -3*c + 4. What is the remainder when t(x) is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 47 - 7. Let f = -4 + 7. Suppose f*b - 1 = 62. What is the remainder when h is divided by b?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-4 - (-6 + 5)) - (120 - 127)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -168981, -168977, -168971, -168963?\nAnswer: -168953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 276243 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -18 in 907, -2, 2\/13?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 476337 and 0.724?\nAnswer: 344867.988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -318 = 5*t + 247. Let u = t + 124. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9b (base 14) to base 8.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2994 + -2988 - (-85 - 4 - -5 - -2)?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -125142*g + 33*g**3 - 5*g**2 + 62187*g - 138*g**3 + 62955*g.\nAnswer: -105*g**3 - 5*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 18*c**2 + 2*c + 1. Let p be 43\/5 + 51\/(-85). Suppose k = -5*u + 14, p*u = 6*u - 3*k + 3. What are the prime factors of f(u)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -48 - -51 - (-2 + 12 + -3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 11*d**3 + 13*d**2 - 3*d + 13. Let s(k) = -23*k**3 - 30*k**2 + 7*k - 28. Determine 3*s(l) + 7*u(l).\nAnswer: 8*l**3 + l**2 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.253 times -5?\nAnswer: -76.265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(300)\/(sqrt(12) - (sqrt(108) + (sqrt(108)*1 - sqrt(108))) - sqrt(12)))\/(4*sqrt(20) - sqrt(15)\/sqrt(3)*2) + -4)**2 + 4.\nAnswer: 4*sqrt(5)\/9 + 6485\/324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 75 and 3405.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(96)\/(sqrt(12) + sqrt(36)\/sqrt(3)))\/sqrt(4) - ((sqrt(490) + sqrt(10))\/sqrt(5) + 1).\nAnswer: -15*sqrt(2)\/2 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 + (2 - 1))\/(1108 - 1147)?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75661 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22838.\nAnswer: 2, 19, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2434.5054 + -1.9946. Round l to the nearest 100.\nAnswer: -2400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from ffxfx?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 327236038?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 12 = -i - 2. Let v(h) be the third derivative of 0*h + 23\/3*h**3 + 0 - 31\/24*h**4 + i*h**2. What is the first derivative of v(n) wrt n?\nAnswer: -31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**2 + 3*b - 3. Let a be d(2). Let i be -1 + (-6)\/4*2. Let j be (i + (-18)\/(-4))*10. Sort j, a, -4 in increasing order.\nAnswer: -4, a, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 32264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2010263 (base 7) to base 3.\nAnswer: 110002020222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00499375396 to 6 decimal places.\nAnswer: -0.004994","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 4, 8, 2 in decreasing order.\nAnswer: 8, 4, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5443\/11 - 495. Which is the second smallest value? (a) -59 (b) -0.5 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1440 (base 6) to base 5\nAnswer: 3014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*a - 14 + 14 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000222 (base 3) in base 10?\nAnswer: -755","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*l - l - 5*l)*(-28 + 41*l - 43*l - 34) in the form o*l**2 + q + k*l and give k.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*w = 17*w - 2360. Suppose -2*g - 12 = -4*z, 7*z = 2*z + 5*g + 5. Calculate the remainder when w is divided by z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -335 or -336?\nAnswer: -336","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - s - 205 = -y, 2*s + 622 = 3*y. Is y a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 1220143.8 months?\nAnswer: 1016.7865","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*a)*(-27*a + 10*a - 20*a + 1).\nAnswer: 74*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -9*f - 1. Let p(a) be the third derivative of -11*a**4\/12 - a**3\/3 - 20*a**2. What is 5*p(i) - 12*q(i)?\nAnswer: -2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*u**4 + 38289008*u**3 + 447871458*u wrt u?\nAnswer: 24*u**2 + 229734048*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 335*z - 346*z + 5500 = -159*z - 2196 for z.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15736?\nAnswer: 2, 7, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 - (42 - (21 + -6))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -34, -46, -58, -70, -82?\n\"Answer: -12*w - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -879*h - 686*h = 97030 for h.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5.02 - 0.02. Let v = -15.2 + 14. Let d = 0.2 + v. Put o, d, -3 in increasing order.\nAnswer: -3, d, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**2. Let o(x) be the second derivative of -x**4\/2 - x**2\/2 - x + 2. Determine q(o(n)).\nAnswer: 36*n**4 + 12*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3667010?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 134 - 132. Which is the nearest to -0.2? (a) -3 (b) m (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*k**5 - 2*k**5 - 5*k + 11*k**5 wrt k.\nAnswer: 340*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 340 a factor of 97791820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - 2. Which is the nearest to -1? (a) d (b) 2\/21 (c) -0.18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -2*m. Let s(q) = 10*q**2 + 4*q. Let w(v) = v. Let r = 28 + -32. Let j(x) = r*w(x) + s(x). Determine f(j(g)).\nAnswer: -20*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7824 - 5424 = 24*n. Calculate the highest common factor of n and 1240.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7897760?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -2*(2*3\/(-9))\/(-2 - 424\/(-204))\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*z**5 - 20*z**4 + 52*z**2 wrt z?\nAnswer: -180*z**2 - 480*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -3*v - 1355, -4*v + 1218 + 2227 = 5*d. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:06 AM and 12:32 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51757 + 3293817543.\nAnswer: 3293869300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2)*(g**4 + g**4 - g**4)*(0 - 4 + 5).\nAnswer: -2*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-45*u + 14*u + 32*u - 166)*(-2*u - 34*u**3 + 78*u**3 - 40*u**3 - 4*u**2) in the form b*u**3 + a*u**2 + z + j*u**4 + n*u and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 295 is divided by 20?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 49259.6 + 2439.4\nAnswer: 51699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -66250 by -5.\nAnswer: 13250","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.12 times 19.955\nAnswer: 2.3946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -0.065093354661.\nAnswer: 4.934906645339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 532, 538, 542, 538, 520?\n\"Answer: -x**3 + 5*x**2 - 2*x + 530","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17187, 17189, 17191, 17193?\nAnswer: 17195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20203 - 2?\nAnswer: 20201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -433 by -23.\nAnswer: 433\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 264774?\nAnswer: 2, 3, 44129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -96, 1\/2, -0.3, -5 in increasing order.\nAnswer: -96, -5, -0.3, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 3*l - 9. Let j(q) = -5*q + 17. Let k(r) = 4*j(r) + 7*y(r). Let p(m) = -47*m + 1823. Let o be p(39). Calculate k(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.791 * -63147.\nAnswer: 49949.277","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -11366, -2\/11, 0.3, 2, 111?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 15, b: 3}. Give prob of picking 1 b and 3 h.\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 3*i - 3 = 0, 5*j = -4*i + 7 - 2. Let k = 5 - j. Let v = k - -3. Is v a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5974*d - 32 = 5970*d - 2*j, 3 = -d - 6*j for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand v**5 - 2*v**4 + 2*v**4 + (2 + 2*v**3 - 2)*(-5*v**2 + 3*v**2 + 0*v**2) - 6*v**5 + 52 - 52.\nAnswer: -9*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1296*v + 1302*v + 58 = 10 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 - -1130?\nAnswer: 1130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*b**5 + 17*b**4 + 791*b wrt b.\nAnswer: -80*b**3 + 204*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3762953900 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1917*t**5 - 5413*t**2 - 2481*t + 18125.\nAnswer: -38340*t**3 - 10826","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 1061*j - 15. Let o(y) = -2*y - 27. Determine o(m(t)).\nAnswer: -2122*t + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-5)*a*a\/(a**(1\/13)\/a)*a\/a**(-2)*a*(a**4\/a)\/a assuming a is positive.\nAnswer: a**(51\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -2*w**2 + 2377*w + 125093. Determine b(1239).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -93*o**2 + 40897 - 40897 to y + q*o**2 + f*o and give q.\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**2 - 7*v - 10. Let i be k(-4). Suppose c - 153 = 5*a, a = -i*c + 4*a + 278. Is c a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((70\/(-4))\/7)\/((-30)\/36). Solve 5*z - 2*m = -6, -4*m - 5 = -3*z - d for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 - 4*h**2 - 4*h. Let w be z(5). Let p = w + -3. Solve p*y + 0 = 5*c - 2, 14 = 4*y - c for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 3*r = -12, -3*r + 21 = v + r for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12356865 by 6.\nAnswer: -4118955\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*a - a + 0*a)*(4*a - 4*a - a**2) - 26*a**3 - 2*a**3 - 3*a**3 - 4 + 6*a**3 + 4 to the form t*a**2 + h*a**3 + k*a + v and give h.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 136041144653 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -97044, -194277, -291510, -388743, -485976?\nAnswer: -583209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 + 9. Solve b + 2 = -d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 5*m**3 + 35. Let v(z) = 6 - 27 - 6*z**3 - 14. Let q(u) = 5*n(u) + 4*v(u). Is q(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/6 - (-70)\/(-3). Let g = 52 + -94. Let h = p - g. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.035775 microseconds to nanoseconds.\nAnswer: 35.775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/23, -2\/5, -1, -0.082, -0.9 in descending order.\nAnswer: -0.082, -2\/23, -2\/5, -0.9, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum 278 and -2.0248.\nAnswer: 275.9752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.4 (b) 126 (c) -1.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -33*2\/(-10) + 436\/1090\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g + 2. Let n be d(-2). What are the prime factors of 46\/n - 12\/(-8)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 16) in base 13?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**2 + 6*c + 1. Let a be o(5). Let x be 164\/(-9) + a\/27. List the prime factors of ((-5)\/((-15)\/x))\/(-1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -269 - -269. Let j be ((-8)\/48*u)\/(-4). Solve -4*w + 8*w + 12 = j for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -130.9496 + 131. Let p = h + -7.9944. Let r = p - -8. Round r to two dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - o = 10. Suppose o*n - 5*u = 355, -3*n - 3*u - 19 + 256 = 0. List the prime factors of (0 + 0 - 0\/(-9)) + n.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4950430190 to the nearest 100000.\nAnswer: 4950400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6293 + 75197 = 3*u + b, 0 = b - 1. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 121973 and 2155?\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(144)\/sqrt(441))\/(sqrt(8) + (sqrt(96) + -2*sqrt(96) + sqrt(96) + sqrt(96))\/sqrt(12)))**2 + ((-1*sqrt(48))\/sqrt(3))\/(-2*sqrt(8)*-3).\nAnswer: -sqrt(2)\/6 + 1\/98","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 367979 and 8533.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 5*k - 3. Let b(h) = -44*h + 26. Suppose 0 = -14*z - 1062 + 334. Calculate z*w(x) - 6*b(x).\nAnswer: 4*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -133020 > -133040?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 305564 to the power of 1\/2, to the nearest integer?\nAnswer: 553","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 3 = -5*a + i, 5*i = -3*a + 24. Let y = -0.56 + 0.06. What is the second biggest value in y, a, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 9940*u**2 + 11963*u. Let o(z) = -33134*z**2 - 39879*z. Let q(f) = -27*g(f) - 8*o(f). Find the second derivative of q(s) wrt s.\nAnswer: -6616","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 507 + -387. What is the lowest common multiple of n and 6?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21615594 = 5*x - d - 1725590, 0 = 3*d - 12. What is x rounded to the nearest 10000?\nAnswer: -3980000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*v - 15*v**2 + 2*v**2 + 12*v**2.\nAnswer: -v**2 + 50*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2*(-1*2 + (-10646604)\/(-24) + -5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 749?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -11) + 0 + -14?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 - -1 - (1 - 323). Suppose -3 = 3*w, 2*w - 19 - 195 = -2*b. Let d = j - b. What are the prime factors of d?\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2502*s**5 + 152*s**3 + 9927*s**2 - 21.\nAnswer: 150120*s**2 + 912","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 AM and 12:23 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/15 (b) 2\/65 (c) 3 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 + 6*r**2 - 2*r - 8. Suppose l + 10 = 4. Let c be u(l). What is the second smallest value in c, -5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - k - 84, 51*f - 54*f = 5*k - 40. What is the remainder when 119 is divided by f?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 25.7 in -1, 379\/4, 0.398?\nAnswer: 0.398","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 8*t - 5. Let b(r) = -7*r + 4. Calculate 7*b(k) + 6*d(k).\nAnswer: -k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**4 + 1. Let x(t) = 7*t**4 - 7*t**2 + 5. Let l(j) = 20*s(j) - 4*x(j). Find the third derivative of l(b) wrt b.\nAnswer: -192*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6\/11? (a) 25 (b) 2 (c) 122 (d) 18 (e) -0.2 (f) 0\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 328.83219 seconds in days?\nAnswer: 0.003805928125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1393868)\/287280 - (1 - (-1 - -7)). Let l = 1\/513 + g. What is the common denominator of l and 55\/32?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-3))\/((-39)\/(-585))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -76, -129, -178, -223?\nAnswer: -264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34290 is divided by 69.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -11615.279 to the nearest 100.\nAnswer: -11600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d - 3*s + 133, -2*s + 106 = 3*d - 6*s. What is the greatest common factor of d and 3077?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.409183 and 29.\nAnswer: 11.866307","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17966 + 2327 = -3*c. What is the thousands digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -38 + 39.7. Let d = 0.3 + v. Put -0.4, 4, d in descending order.\nAnswer: 4, d, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the first derivative of -2*l**6\/3 - 88*l**5\/5 - 60*l**4 - 232*l**3\/3 - 38*l**2 + 348. Factor s(n).\nAnswer: -4*n*(n + 1)**3*(n + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -560, -1410, -2542, -3950, -5628, -7570, -9770, -12222?\nAnswer: -14920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 534 and 37745256?\nAnswer: 37745256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6*(-18)\/27 + (-1 - -7). Let m be (-32)\/80*x\/((-28)\/30). Factor 2\/7*i**5 - 2*i - m + 12\/7*i**3 + 10\/7*i**4 - 4\/7*i**2.\nAnswer: 2*(i - 1)*(i + 1)**3*(i + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4405 or 4406?\nAnswer: 4406","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from yyeyeeeeeyvelv.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-63)\/(-35) - (1116\/45 - -5).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 5*w = 6, -2*l + l + 2 = -w for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 208638 and 6432?\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2076, 1970, 1870, 1782, 1712, 1666?\n\"Answer: k**3 - 3*k**2 - 104*k + 2182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -26 + (14 - (7 + (-1 - -4)))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the third derivative of -5\/6*z**3 + 0 + 0*z - 1\/8*z**4 + 2*z**2. Differentiate s(o) with respect to o.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -2*l**3 - 6*l**2 + 9*l + 13. Let h(t) = -3*t**3 - 5*t**2 + 11*t + 14. Let a(j) = -3*h(j) + 4*i(j). Calculate a(8).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -21 + 1 + (-9)\/(-3). Let w = -47 - z. Let y = w - -583. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 185671120?\nAnswer: 2, 5, 73, 31793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -9442, -9445, -9462, -9493, -9538, -9597, -9670?\n\"Answer: -7*c**2 + 18*c - 9453","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 24 - 25 - 59593*b + 4.\nAnswer: -59593*b - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Do 4920475 and 4920484 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 451275 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:26 PM and 6:35 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s*(s\/s**5)\/s*s*s**(-3))\/(s**(2\/11)*s*s*s\/(s**3\/s*s)))\/(s**2\/(s**(-1\/4)\/s)*s**7*s**(1\/2)\/s*s) assuming s is positive.\nAnswer: s**(-701\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10 + 19. Suppose -3*u + c = 3. Suppose 0 = u*g - 3*g + 3*p + 21, 43 = 3*g - 4*p. What are the prime factors of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -728\/5 - -37551\/260. Find the common denominator of f and 27\/88.\nAnswer: 1144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 - (-8)\/(448\/(-88)). Let q = -22 - -22.4. Let l = -1.4 + q. Which is the smallest value? (a) t (b) -0.4 (c) l (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/504136 and 33\/869200.\nAnswer: 25206800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/645077 and -35\/5160616?\nAnswer: 5160616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6*j**3*q*y - 2*j**3*y + j**3 - 23*j**2 - 7*j + 14882*q**3*y - 54*y wrt q.\nAnswer: -6*j**3*y + 44646*q**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-297)\/63 - (-4)\/(-14). Let k = 1 + -1. Let o = k - a. Solve 16 = 4*x - 0*x - 4*p, o = 5*p for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 5 = -x. Let g be (3\/x)\/((-15)\/10). Let v = -0.1 + 0. What is the nearest to -1 in g, 1\/2, v?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the second derivative of -t**4\/12 + 2*t. Let h(k) be the third derivative of -k**4\/12 - 3*k**2. Determine h(v(l)).\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 0*k + k**2 - k + 4 - 5*k. Let f be x(6). Let c be 59\/5 - (-2)\/10. Solve c = f*l - l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -3*f**3 - f**2 + f + 1. Let x be c(-1). Let a be (18\/4)\/(6\/8). Differentiate -3*v**2 + 13 + a*v**3 + 3*v**x - 22 wrt v.\nAnswer: 18*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 722599032 + -5?\nAnswer: 722599028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 312666886 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 1\/3, 29, 1\/2, 3\/2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-273)\/(-1224) - 554\/4432)\/(-5*2\/(-216)).\nAnswer: 36\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 1\/435?\nAnswer: 1\/435","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.595836 - 0.596085279. Round o to 5 dps.\nAnswer: -0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**2 - 13*a - 6. Suppose -9*z + 0*z + 36 = 0. Suppose z*m - 26 = -t + 4, -69 = -4*t + m. Let i = 5 - t. Give v(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 90, 346, 768, 1356, 2110, 3030?\nAnswer: 4116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*p - p**3 + 0*p**3 + 0*p + (-2*p + 5*p - p)*(-3*p**2 + 0*p**2 + 4*p**2) to the form a*p**2 + w + j*p**3 + z*p and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 0*r = -4*r - 44, 5*m = -3*r + 58. Let t(k) = -k**3 + 6*k**2 - 4. Let f be t(4). Let s = f - m. Is s a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 6, z: 3, a: 2, d: 5, c: 1}. Give prob of sequence zz.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 2594739602?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -273110*l**5 + 5*l**2 - 3496500*l + 2 wrt l?\nAnswer: -5462200*l**3 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -3\/1100?\nAnswer: -3\/1100","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide (-4225)\/(-26)*(-24)\/(-20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2839 and 15079.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - z = 0, 237*f - 237*f + 5*z = 75 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.6 - -0.1. What is y rounded to zero dps?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*a - 16*a + 8*a - 4*a.\nAnswer: -38*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -926 + 4632\/5. Let k = 67\/2 - 32. Sort 0.09, k, n in increasing order.\nAnswer: 0.09, n, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*h**2 - 48124*h + 48124*h + 227*h**2.\nAnswer: 191*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -617 not equal to -1235\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 + 15\/(-12))\/(23\/276) + 8. Let a(k) = -k + 4. Let m(s) = -2*s + 5. Suppose 0 = w - 5*g + 1, g + 14 = -3*w + 5*g. Determine p*m(x) + w*a(x).\nAnswer: -4*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vq when two letters picked without replacement from {p: 2, h: 1, v: 1, j: 1, q: 2, d: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 56548 and 3798?\nAnswer: 422","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 519487, 519534, 519581, 519628?\nAnswer: 519675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 227 + 14?\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4128 - -6262. What is the thousands digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-12 - -7 - -9) + 8. Let i = 33 + -32.8. Put -2\/7, -1\/5, i, w in decreasing order.\nAnswer: w, i, -1\/5, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/43? (a) 0.2 (b) 5 (c) 7\/5 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7354.1 + 7026. Round f to the nearest ten.\nAnswer: -330","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + w + 0)*(-2*w - 1 + 1) - 28*w**2 - 37*w**2 - 14*w**2.\nAnswer: -81*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a millennium in centuries?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1468.218 + -20.218. Which is bigger: -2 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 169.38 - 188.4. Let w = -19 - k. Put -2, w, 2 in descending order.\nAnswer: 2, w, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.2 + 0.2. Which is the biggest value? (a) v (b) -8 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 187 - 134. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-310)\/(-8))\/(76020\/182448)?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -15*g**5\/4 - 25*g**4\/4 + 295*g**3\/4 + 205*g**2\/4 - 25*g = 0. What is g?\nAnswer: -5, -1, 0, 1\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-98)\/(-8) - (-2)\/(-8). Suppose 5*j - y - 3 = 0. Let b = j + 4. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/15, -2, 1\/4, 5, -11.81, 0 in descending order.\nAnswer: 5, 1\/4, 0, -2\/15, -2, -11.81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32323*y = 25971*y + 19052 - 101628 for y.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14957 = 68*u + 32*u + 5057 for u.\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - -3) + 2 + -1 + 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 2*q - 4. Let m(c) = 632*c**2 + 12*c - 27. Calculate m(z) - 6*o(z).\nAnswer: 632*z**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 70\/81 and -58\/9?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18.2 - 10.8. Let l = y - -27. What is the nearest to 3 in -1\/3, l, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 41 + -43. Let v be (-3 + 2)*l - 2*-1. Put v, -10, -5 in descending order.\nAnswer: v, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 534361*w**2 + 4386*w + 9.\nAnswer: (731*w + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 216 and 162.\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 311.1 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -41*m**2 + 310*m + 222. What is l(8)?\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**2 + 149*h + 125. Let m(t) = -2*t**2 + 148*t + 155. What is -4*m(k) + 5*w(k)?\nAnswer: 3*k**2 + 153*k + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.04, 0.5, 0, -8\/7, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 - (0 + 126\/(-12)*-2). Let n(t) = -351*t + 132. Is n(u) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1030143003 (base 5) to base 3\nAnswer: 11010102220212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s**2 - 5*s**2 - s**2)*(-2*s + 0*s + 0*s) - 1453*s**3 - 1118*s**3 + 4024*s**3.\nAnswer: 1459*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -17 - 49. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 0)*(-455*s + 473*s - 203*s + (-2 + 2 + 2*s)*(-1 + 2 + 1)).\nAnswer: 362*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000028903 to 7 decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 509*d - 1428 = 4*u - 203*d, 4*u - 4*d = u + 6*u - 5 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 2*o - 3*o + 10, -4*h - 30 = -3*o. Suppose -5*z = -5*x + o, 5*x - z - 27 = -1. Solve -4 = 2*k + x for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 7*y + 124 = -9*y, 254 = 2*i + 2*y. Let l = i + -124. Determine r, given that -4\/7*r**3 + 10\/7*r**l - 8\/7*r + 2\/7 = 0.\nAnswer: 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 148*u + 200*u**2 - 12*u - 136*u.\nAnswer: 200*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:20 PM and 12:21 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 3 + 17 = -2*y, 10 = -u - 4*y. Let m(b) = -b**2 + 7*b - 2. Let x be m(u). What is the second derivative of -l**2 - x*l + 5*l - 2*l**2 wrt l?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2\/8 + 441\/2.\nAnswer: -(a - 42)*(a + 42)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.026121 plus -5.428?\nAnswer: -5.454121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 322 = x. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1576?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-22)\/(-12) + 2\/(-6). Let y = 4 + -3.7. Which is the third smallest value? (a) y (b) -1\/2 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (((-13)\/(-104))\/(1\/24))\/(4\/28). What is the greatest common divisor of 3689 and f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.08265394 to five dps.\nAnswer: 0.08265","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -43 - -64. Let y(d) = -d**2 - d - 15. Let j be y(-4). Let x = j + w. Does 2 = x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3849 is divided by 3749.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxqq when four letters picked without replacement from {x: 17, q: 3}.\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.41 and -2?\nAnswer: -0.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -p + 203*p**3 - 2*p + 3 - 201*p**3 + 5*p + 7*p**2 to the form d + u*p**3 + a*p**2 + z*p and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -11 (b) 2\/7 (c) -191\/7 (d) 3 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 98238480 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 121 - 121.3. What is the smallest value in 0.2, 5, g, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8292?\nAnswer: 2, 3, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/c**(2\/11))*c*c**(-4))**(-23) assuming c is positive.\nAnswer: c**(713\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.719323ug to tonnes.\nAnswer: 0.000000000005719323","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(22)\/(sqrt(2) - (sqrt(2) - -2*sqrt(2))) - (sqrt(11) - (sqrt(704)*-1 + sqrt(704) - sqrt(704))))**2 + -5.\nAnswer: 19835\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 - 9*n**2 + 10*n - 2. Let r(j) = 2*j**2 + j + 2. Let g be r(-2). Let t be q(g). Let m = -59 + 66. What is the highest common factor of m and t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.2 - -1.2. Let x = 1.4 - g. Let p = -33.8 + 34. Sort -4, p, x in descending order.\nAnswer: x, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l = 10*l - 75. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -29 - -16. Let m = x + 10. Put 2, 0.5, m in increasing order.\nAnswer: m, 0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -774.1 + 741. Let n = 4.9 - z. Let l = n + -34. What is the second smallest value in l, -0.12, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 minus -66932684.55959?\nAnswer: 66932659.55959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70294.\nAnswer: 2, 7, 5021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 122250 - 122352 = -17*c for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-46)\/(-5) - 8)\/(4\/20)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 3*q - 8*q - 657180 = 0, -2*q + 525714 = 4*n. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + 1111011110?\nAnswer: 1111011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -97*z**3 + 95*z**3 - 62*z**3.\nAnswer: -64*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 125*g*v**2*z**2 + 2*g*v**2 + 2*g*z**2 + 2*g - v**2*z + 3*v**2 - 975*v*z wrt v?\nAnswer: 250*g*z**2 + 4*g - 2*z + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8095 is divided by 1341?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11290321?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -32000082 + -36.94078\nAnswer: -32000118.94078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -2*h. Let b = -42 + 21. Let l = 13 + b. What is the tens digit of m(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -47991000 to the nearest one million.\nAnswer: -48000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 16900812?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (1\/12)\/(2\/85) and (-291)\/(-180)*4\/(-2).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6028 and 548?\nAnswer: 6028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the second derivative of 0 + 47\/3*h**3 + 125*h + 6*h**4 + 0*h**2 + 0*h**5 + 1\/30*h**6. Find the second derivative of x(w) wrt w.\nAnswer: 12*w**2 + 144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20173534 is divided by 133599?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(4\/25)*w*w*(w*w**(-28))\/w)\/(w**(-1\/4)*(w\/((w*w**(1\/3)\/w*w)\/w*w))\/w*w) assuming w is positive.\nAnswer: w**(-7577\/300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -122. Let h(u) = -4739*u - 10460. Let j(q) = -h(q) - 2*v(q). Differentiate j(k) wrt k.\nAnswer: 4739","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2760.493 + -2746.6. Let w = 0.107 + r. Which is greater: w or 5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/60 and (-31)\/186 + (-519)\/(-165) + -3?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 155*z + 190*z + 158*z + 8431*z**2 - 503*z to v*z + w*z**2 + f and give w.\nAnswer: 8431","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 99 (b) -2 (c) 5 (d) -0.2 (e) 2\/21 (f) -23\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 52776 and 480848.\nAnswer: 4327632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*z**2 - 3 + 48*z**4 - 3*z + 3 + 1 - 46*z**4 to the form m*z**4 + t + p*z**3 + w*z**2 + u*z and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnnppnnn. What is prob of picking 1 p and 1 n?\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 2*j**2 - 63322*j - 126652 = 0?\nAnswer: -2, 31663","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3532*c + 3535*c + 4*l - 19 = 0, c - 38 = 5*l for c.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 559 divided by -161575.\nAnswer: -559\/161575","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/((-12)\/9))\/(2*8\/(-16))*19?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-1)\/(-1))\/(35\/3640)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - 1. Suppose -3*p - 2*r + 3 = 0, 0 = -p + f*r - r - 4. Let g = -178\/145 + 24\/29. Is p at least g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*y - 12*y - 122*v - 694 = -9*y + 44*v, -24 = 6*v for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + (9 + -5 - -5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*z + k - 11, -33 = z + 3*k - 45 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*t + 2 - 14 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 1484.5 to the nearest 10.\nAnswer: 1480","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(4032) + 2*sqrt(4032) + sqrt(567)\/(sqrt(9) + sqrt(36)))\/((sqrt(36) + sqrt(396)\/sqrt(44))\/sqrt(4)*2).\nAnswer: -73*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(252)*1 - sqrt(252)) + sqrt(252))\/sqrt(9) - (sqrt(35)\/((sqrt(35)*-2)\/sqrt(7) - sqrt(5)))**2.\nAnswer: -7\/9 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -1388*(14 + 123\/(-4)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1 and 1242341482753.\nAnswer: 1242341482754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 1 + 3*w + 4*w + 2 + 0. Let q(g) = -14*g - 5. Let r(n) = -7*b(n) - 4*q(n). What are the prime factors of r(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.0682, -4, -1, 13, -2402.\nAnswer: -2402, -4, -1, -0.0682, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 19 - (-1 - (-1 - 4)). Let i = -34 + h. Is i not equal to -18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 211*i + 5*q + 10 = 216*i, 12 = 5*i - 4*q for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14\/1 + 0 + 4 + -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 2*z**2 - 169*z - 128. Give i(85).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1171584891 and -1.6788.\nAnswer: 1171584889.3212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6071*y**3 - 12140*y**3 - 1217*y**2 + 6068*y**3 - 2*y.\nAnswer: -y**3 - 1217*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of l**4\/12 - l**3\/6 + 43*l**2\/2 + 2*l. Let m be b(0). Let s = m + -31. Calculate the smallest common multiple of 12 and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 296440.576878 + -1710.076458. Let u = -294728 + j. Let z = 2.5 - u. Round z to four decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -2807 + 5583 + 6*a - 2776. Let j(k) = -36*k**2 + 4*k. Calculate j(d(q)).\nAnswer: -1296*q**2 + 24*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1245*c - 1235*c = -30 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes after 12:22 PM?\nAnswer: 12:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1)\/(l\/(l*l\/(l**(-6)\/l))))\/(l**(-6)\/(l**4*l)) assuming l is positive.\nAnswer: l**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -11*b. Let p be (3 - (-15)\/(-6))*-4. Let r(l) = -6*l - 2. What is the lowest common multiple of m(-2) and r(p)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the first derivative of 2*t**3\/9 - 32*t**2\/3 + 138*t + 646. Factor o(z).\nAnswer: 2*(z - 23)*(z - 9)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*v**4 - 2*v**3 - 1444*v - 27959 wrt v.\nAnswer: -20*v**3 - 6*v**2 - 1444","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 2*t. Let k(x) = 224*x. Calculate a(k(q)).\nAnswer: 448*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 - 22 - 5*s + 4)*(-6 + 1 + 2).\nAnswer: 15*s + 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 3 k when four letters picked without replacement from ukuuuuukkkukuuuuuu?\nAnswer: 13\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*y**3 + 6426255*y**2 - 12852501*y + 6426249 = 0. Calculate y.\nAnswer: 1, 2142083","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13000662?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 minus -5238804001483?\nAnswer: 5238804001496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/17018 and -71\/8.\nAnswer: 68072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.4 - 1. Let o = -28.6 - i. Let y = o + 28.9934. Round y to three dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the third derivative of -s**7\/420 - s**5\/20 - s**4\/8 + 6*s**2. Let f(k) be the second derivative of x(k). Differentiate f(w) wrt w.\nAnswer: -12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of 1\/15*p**6 - 1\/5*p**4 - 4\/25*p**5 + 1\/5*p**2 + 8\/15*p**3 - 4\/5*p - 13. Solve u(r) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-18)\/(d\/(d**(-10\/7)*d*d)) assuming d is positive.\nAnswer: d**(-129\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -341\/45 - -39\/5. Sort -3, 2, x.\nAnswer: -3, x, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4422344035?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2\/9, -2, -12, -0.5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5)\/2*72\/(-90). Solve -5*i + 4*k + 40 = 0, -4*k - 18 = n for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 + 2 = 3*z for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19242\/(-3207)*(-13)\/3*3\/6.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 137*i = 142*i - 10 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (71 + 508 - 2096 + (-1 - 3 + 5)*(-3 + 3 + 1) + (1 + 1 + 0)*(-4 + 2 + 0))*(-f + 3 - 3) as b*f + z and give b.\nAnswer: 1520","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 - n**2 - n + 1. Let i(v) = -v**3 - 3*v**2 + 3*v + 2. Let w(t) = i(t) + 2*p(t). Let r be (2 + -7 + 1)*3\/(-2). What is the tens digit of w(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -2*u**3 - 21*u**2 + 14*u + 39. Give y(-11).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 83 - 55. Suppose 14*h = 2*h. Suppose s*c - 26*c - 318 = h. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**3 - 168*j**2 - 156*j + 328.\nAnswer: -4*(j - 1)*(j + 2)*(j + 41)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3784925 is divided by 1892459?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 565048 is divided by 28.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20258823?\nAnswer: 3, 13, 519457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 39 + 30. Let s = r + -74.6. Round s to 0 decimal places.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3266*a - 943*a + 20660 + 41057 = 12934 for a.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 6759507152 and 2.02.\nAnswer: 6759507154.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a**4 + 516*a**3 - 9468*a**2 - 1093920*a - 13483200 = 0. Calculate a.\nAnswer: -20, 106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 32368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l**3 - 3375*l**2 - 729000*l - 34627500 = 0 for l.\nAnswer: -90, 855","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 2590, 44, 2, 99 in descending order.\nAnswer: 2590, 99, 44, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 + (-4 - -2) + 5. Let i(p) = 7*p**3 + 10*p**2 - 2*p - 7. Let q(h) = 12*h**3 + 15*h**2 - 5*h - 14. Let f(l) = -5*i(l) + 3*q(l). Determine f(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 602 is divided by 202.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3244242341 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 2*g**3\/7 - 10188*g**2\/7 + 665874*g\/7 - 10950984\/7 = 0.\nAnswer: 33, 5028","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.738*-0.4.\nAnswer: 0.2952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 - -8. Suppose -12 = 2*x + 4*a, -12 = -2*x + 4*a - i*a. Let t be x\/1*5\/(30\/6). Do t and 2\/3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggie when four letters picked without replacement from {g: 5, d: 1, i: 1, e: 2}?\nAnswer: 5\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 7 = c, 17*k = 4*c + 16*k - 22 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-44)\/(-23) + (1 - 3). Let h = 87.7 - 89. Sort i, 2\/5, h.\nAnswer: h, i, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 2*v**2. Let p be -14*9\/(-30)*5. Suppose 4*u = p + 11. Let g(k) = -8 + 2*k + u. Determine g(f(w)).\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-3) - (2\/102)\/((-28)\/(-2296)).\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-81)\/(-15) + 4\/(-10). Let x be (-3)\/j + (-206)\/(-10). What is the highest common factor of x and 180?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 30342 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 - 711.\nAnswer: -712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 + -2)*(3\/(-2) - 0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3431 is divided by 101?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -961903.19 times 0.5?\nAnswer: -480951.595","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.02 and 1.1171.\nAnswer: -0.022342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/40 of a microgram?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (1368\/380)\/((-9)\/(-30))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -5*p - 203. Let l be i(-39). Is ((-148)\/(-37))\/(l\/(-894)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7067.6 + -7068. What is the second biggest value in o, 3.4, 0, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -24 + 29.3. Let h = 49.7 + -50. Let m = h + y. Which is the nearest to -0.2? (a) 1 (b) m (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vfvvfddvyff. What is prob of picking 1 v and 2 f?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8 or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -5*m**5\/3 + 308027*m**4\/3 - 739240*m**3\/3 + 246412*m**2\/3 = 0.\nAnswer: 0, 2\/5, 2, 61603","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 4*i**2 - 2*i - 8*i + 7*i + i**3 - 6. Let b be z(-4). Is 6 less than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2 - 12*x - 5. Let s be v(11). Let h be s\/32 - 23\/(-54). Which is the third biggest value? (a) -0.5 (b) h (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 961844973 to the nearest integer?\nAnswer: 987","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4043 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/7 smaller than -3\/182?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 8:41 AM?\nAnswer: 12:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 178.\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((5 - (1 + 0)) + 3)*440\/616.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(144)\/sqrt(3) + -3)**2 - 4*(sqrt(3) + 0)*-3 - (sqrt(2430)*-2)\/(sqrt(40)*3).\nAnswer: -9*sqrt(3) + 57","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 116193, 229285, 342391, 455517, 568669, 681853, 795075, 908341?\nAnswer: 1021657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 330\/99*180\/(-75)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -361, -4.\nAnswer: -361, -12, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -316755949 - 0.293959.\nAnswer: -316755949.293959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 - 77*s**2 + 972*s + 321. Determine w(-88).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -22, -30, -32, -28?\n\"Answer: 3*n**2 - 17*n - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 2*o + 2 = 5*o, 0 = o - 2. Let l be 0 - 1 - (s + -3). Let u = 14433.9 - 14435.9. What is the nearest to 0 in 0.2, l, u?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(2\/3))**(3\/16)\/(c**(3\/5)*c**(2\/7)\/c))\/((c\/((c\/c**(-8))\/c))\/c*c**(-9))**(3\/29) assuming c is positive.\nAnswer: c**(35491\/16240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1037 or -2\/3?\nAnswer: 1037","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*(l*l**(-5))\/l*l*(l**(2\/7)\/l)\/l)**(-29) assuming l is positive.\nAnswer: l**(957\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pbl when three letters picked without replacement from pppblpdw?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = 5*g + 118000000. What is g rounded to the nearest 1000000?\nAnswer: -24000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.028766 rounded to four dps?\nAnswer: -0.0288","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 91*r**2 - 8529*r + 45835. What is w(88)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.11 - -1.74. Let i = q - -0.15. Let h = -6.1 - -5.6. Which is the smallest value? (a) 0 (b) h (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of -r**3\/3 - 3*r**2 + 16*r + 5. Let y be l(-8). Solve -2*k + 3*k = y for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkgtkgk. What is prob of sequence ttt?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 j when three letters picked without replacement from jjcjjjoacjjajjcjcdoc.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i\/(i*i*i*i\/(i*i**12*i)*i))\/((i*i\/(i**(-11)\/i*i)*i)\/i))\/(i\/i**(2\/3)*i**7))**14)**3 assuming i is positive.\nAnswer: i**(-434)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes before 2:30 PM?\nAnswer: 10:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -3*r + 41, 0 = 5*r - 5*g - 10 - 5. Suppose -v + 3 = -0*v. Suppose -4*i = -4*p + 40, v*p + 2*i - 30 = r*i. List the prime factors of p.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -238 + 121. Let u = -74 - k. Let t = u + -42.992. What is t rounded to 3 dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (10\/3)\/(7 - 5)\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2712 and 1695.\nAnswer: 13560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 633, 41, 10 in descending order.\nAnswer: 633, 41, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 4 = 4*s. Let y be 4\/(s + -4) - -10. Let c = y - 11. What is the second smallest value in c, 1\/8, 5?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 964\/241 + 2 + -11.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -5*y**3 + 3*y**2 - 3*y + 13. Let q(i) = 24*i**3 - 14*i**2 + 14*i - 66. Calculate 28*k(o) + 6*q(o).\nAnswer: 4*o**3 - 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 890 = 23*i + 1741 for i.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 + 4*g**2 - 356018*g + 356018*g.\nAnswer: 4*g**2 + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.62 take away 62?\nAnswer: -57.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2*(-4)\/(8\/(-5)). Suppose 0 = v*i - i - 2212. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9.205 * -6.\nAnswer: 55.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*x**3 - x**4 + 10*x**3)*(-20*x - 18 + 35 - 17).\nAnswer: 20*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 51*w + 7. Is u(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13532 + 24540. Is 11008 < o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 1 = -5*k. Let f = 2 + -2. Suppose -3*o + 8*o - 25 = f. Put o, k, -2 in ascending order.\nAnswer: -2, k, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52700019 to the power of 1\/3, to the nearest integer?\nAnswer: 375","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s - 9. Let y be m(-15). What is the derivative of -y*l**3 + 3 - 3 + 5 wrt l?\nAnswer: -18*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 50595 and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -26 + 22. Let g be (-25152)\/84 - c\/(-7). What is g rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32e (base 15) to base 16.\nAnswer: -2cf","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes before 7:21 PM?\nAnswer: 9:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 1, 93 in decreasing order.\nAnswer: 93, 7, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12 - -16. Let c = -3 + 31. Calculate the highest common divisor of c and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yc when two letters picked without replacement from {r: 2, i: 2, c: 1, y: 2, f: 1, e: 1}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 25*b**2 + 0 - 59*b**2 + 0 as x + d*b + c*b**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4675.926 litres in millilitres?\nAnswer: 4675926","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -62 + 99*q - 144*q + 62 - 567*q in the form y*q + w and give y.\nAnswer: -612","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -315 = -h - 2*h. Let k = h + -68. Suppose -5*i = 3*g - 59, 2 - k = -3*g + i. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 2*d**2 - 9*d - 1. Suppose 3*m = 4*m + 1. Let s(z) = 3*z**2 - z. Let h be s(m). Let v be r(h). Let g(y) = y**2 + 4*y - 4. What is g(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 6*m + 5. Let g be z(4). Let r = g + -72. Let w = -5472 - -5429. Is r > w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 360562*s + 824050 wrt s?\nAnswer: 360562","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (872576\/(-81804))\/((3\/12)\/((-1)\/(8\/(-6)))).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bhb when three letters picked without replacement from hbhhbuhbhhhhbh?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the first derivative of -q**4\/4 - 5*q**3 + 7*q**2 + 81*q + 142. Is i(-19) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2 + 7*r + 9. Let o be v(-6). Suppose -q = -o*q + 4. Factor -4*n**2 - 2*n**2 + 18 - 12*n + 5*n**q + 3*n**2.\nAnswer: 2*(n - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22152447 + 20*u - 22152447.\nAnswer: 20*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00013589 rounded to six dps?\nAnswer: -0.000136","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 42, 1, -68, -13, 3, 5 in decreasing order.\nAnswer: 42, 5, 3, 1, -13, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 262 by 9208.\nAnswer: 131\/4604","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95*g = -100*g + 3*t - 511, 0 = -g - 2*t - 84. Which is bigger: g or -989\/10?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - -8 - (-3 - (-8 - -1)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -75, 33 in descending order.\nAnswer: 33, 0, -75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 8*p + 12. Suppose -3*l = x - 3, 0 = x - 3*x - 5*l + 7. Let d(b) = -b. What is x*d(f) + m(f)?\nAnswer: 2*f + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 24 = -2*o, 40*o - 37*o + 12 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 635528?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -f + 1 + 13*f + 7*f.\nAnswer: 19*f + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes before 3:46 PM?\nAnswer: 7:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) -0.01 (c) -5\/4 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 - -60. Suppose y = 2*y - 2. Suppose 0*n + 2*n + 5*v - 67 = 0, -y*n = 3*v - r. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*t - 3*t + 4*t)*(-2*t + t - 2*t).\nAnswer: 27*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -1815*c**2 + 110709*c + 134. Calculate k(61).\nAnswer: -232","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*120*(-49)\/(-78400).\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i = -20*i + 187. Suppose 23*r = 6*r - i. Let g(d) = -4*d - 1. Determine g(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/34520 and -139\/420.\nAnswer: 724920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -984, -1645, -1960, -1929?\n\"Answer: 173*r**2 - 1180*r + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1242 + -811. Suppose w - n = -3*x - 0*x, -5*w + 715 = 5*x. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 22 = -4*i, -3*q = -1 - 5. Differentiate -n**3 - 3*n**3 - i + 4*n**3 - 9*n**4 with respect to n.\nAnswer: -36*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of -27*p**2 + 0 + 0*p**4 - 7\/10*p**5 + 7\/2*p**3 + 0*p. Find the first derivative of c(t) wrt t.\nAnswer: -84*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -918 = -23*n + 531. Let i(t) = -13*t - 17*t - 18*t - 18*t + n*t. What is i(-4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -3 - 1. Is m a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-3*(sqrt(50)\/sqrt(20) - -2*sqrt(160)))\/((sqrt(98) - sqrt(98)*-2)*-3 + sqrt(98) - ((sqrt(98) + sqrt(98)*1 - sqrt(98)) + sqrt(98) + sqrt(98))*-2).\nAnswer: 51*sqrt(5)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1492421 a multiple of 73?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16 - 14. Suppose 88 = -v*w + 310. Let z = w + -773\/7. What is the nearest to 1 in 2\/9, z, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*(i\/(i*i*i**2*i))\/i*i\/(i*i**(-9)))**6*(i**(1\/3))**(-2\/23)\/(i\/i**(-1\/3))**(-1\/10) assuming i is positive.\nAnswer: i**(3462\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 PM and 8:19 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2132 and 123?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 49*l - 720525 + 9976. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3676638*h**3 + 9*h**2 - 29191 wrt h.\nAnswer: 22059828","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 232 and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*k**4 + k**4 - 4*k**4 + (2 - 5 + 2)*(2*k**4 - 4 + 4).\nAnswer: 4*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 11539480 divided by -4\nAnswer: -2884870","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -7 + 2 + 3*z - 1 - z. Let m be r(4). Is 16 a factor of (m\/(-3))\/((-8)\/204)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**2 + v - v)*(-3*v**3 + v**3 + v**3) - 41*v**5 - 32*v**5 - 132*v**5.\nAnswer: -203*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 359, 718, 1077, 1436?\n\"Answer: 359*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1841577 to the power of 1\/2, to the nearest integer?\nAnswer: 1357","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2987.\nAnswer: 29, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 51 - 1. Suppose 2*i = -3*i + 50. Calculate the greatest common factor of i and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*b + 9*b - 4*r - 20, 4*b = 4*r + 20. Let p = -9 + 11. Suppose -5*w - p*q - q + 533 = 0, 4*w - 4*q - 452 = b. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 3*d - 6*d + 12602, -5*d + 5018 = 2*q. Does 54 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 55 + 54. Let z = m - 75. What are the prime factors of z?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109 is divided by -4 - (6\/(-2) + -29).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 5*d = -2*y + 5, -9 = y + 4*d. Let v = y - -9. Let k be 2\/6 + 122\/3. Solve -3*s + 3*p = 3, -v*s - 3*p = 2*p - k for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39470878 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/4 in -26\/7, 1\/4, 0.3, -0.5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fzmm when four letters picked without replacement from fmffytqzzzmmmm.\nAnswer: 15\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*x**2 - 35*x**2 + 75*x**2.\nAnswer: 5*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the third derivative of -49*t**5\/60 + t**4\/12 + 5*t**3\/3 + t**2 - 35*t. What is the second derivative of p(k) wrt k?\nAnswer: -98","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9 and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 AM and 3:44 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10842752?\nAnswer: 2, 23, 29, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(3*10\/(-13305)). What is q rounded to the nearest ten?\nAnswer: -890","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 156759722?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 6*h**2 - 8*h + 18. Let f(x) = x**2 + x + 1. Let k(o) = 5*f(o) - g(o). List the prime factors of k(9).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 times 136\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y - 5*k + 9, 5*y - 15 = -k - 0. Suppose 2*n + y*n = 25. What is the units digit of (n + -4)*-3 - -172?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2397*n*p**2*z - p**2*z + 2047*z with respect to n.\nAnswer: -2397*p**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1.42083 and -434.\nAnswer: -432.57917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -53 - 60 + 2*x + 2*x**2 - 2*x + 112 + 2*x - 51*x**3 + 44*x**3. Let z = -12 + 14. Let w(o) = -o**3 - o**2 - o. Calculate z*w(p) + b(p).\nAnswer: -9*p**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4873, 8215, 11557, 14899, 18241?\nAnswer: 21583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 5*a = 115, i + 10*a + 26 = 16*a. Let v(y) = -y**3 - y**2 - y + 1. Let z be v(2). Let s = i - z. What is the highest common factor of s and 87?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -292*w = -760*w + 440*w - 1372 for w.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1*5\/20*-12. Factor w**4 + 4*w + 3*w**2 + 6*w**3 - 4 - 2*w**h - 8*w**3 + 0*w.\nAnswer: (w - 2)**2*(w - 1)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1756 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2*-14855\nAnswer: -29710","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 695*n = 725*n + 660 for n.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*6)\/((-192)\/128)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2, 17, -5, 3875 in decreasing order.\nAnswer: 3875, 17, 1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 35*b - 1583. Let t be s(56). What is the greatest common divisor of 13 and t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s = -s. Let b(m) = -2*m**2 + 7*m**3 + s*m - m**3 + 3*m - 1 - m. Give b(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1594 and -908.2.\nAnswer: 685.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together 90858.74 and -4.\nAnswer: 90854.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4 - 2 - (0 - 1). Let x(p) = -6*p. Let c(h) = -7*h. Let f(m) = b*c(m) + 6*x(m). Give f(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -124\/7 - -18. Let d be 14\/(-4)*(6 + 0). Let j be (-2)\/7 + (-13)\/d. What is the nearest to c in 0.3, -0.1, j?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 323 is divided by 61.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + 4. Let o = 15 - k. Let d = 13 - 13. Solve -o = 2*v - d*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -82 - -96 - (2 + 14) - (41 - -6).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -86*h + 161. Give r(5).\nAnswer: -269","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -389 - -388. Which is the closest to m? (a) -59 (b) 0.3 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -36*k**3 - 216*k**2 - 188*k - 21. What is o(-5)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8\/28 - 2350766\/(-7). Let c = a + -93023110\/277. Let g = c + 26049\/6094. What is the common denominator of g and -95\/22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = 3*a + 4 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22 and 154?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -243*p**3 + 249*p**2 - 10*p. Let q(k) = 244*k**3 - 249*k**2 + 12*k. Let i(d) = 6*l(d) + 5*q(d). Find the third derivative of i(m) wrt m.\nAnswer: -1428","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**4 - 90288*v**3 - 541656*v**2 - 1083264*v - 722160.\nAnswer: -3*(v + 2)**3*(v + 30090)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1172, -4682, -10532, -18722, -29252, -42122?\n\"Answer: -1170*t**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -5a8018 (base 13) to base 9\nAnswer: -4051455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/38 and 7\/12?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**2 - 4*p + 5. Let u be b(-5). Suppose u = w - 0*w - 1. Suppose -5*h - 8 - 6 = -v, 2*h - 2*v + 4 = 0. Put h, w, 5 in ascending order.\nAnswer: h, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in -0.04, 15, -0.3?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/2 - 195\/(-143). Suppose 2\/11*p**2 + 2\/11*p - m = 0. What is p?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 7068, 7127, 7152, 7125, 7028, 6843?\n\"Answer: -3*j**3 + j**2 + 77*j + 6993","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**2 + 1. Let j(q) = 100112*q**2. What is i(j(u))?\nAnswer: 10022412544*u**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -714, -761, -838, -945, -1082?\nAnswer: -1249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2*2\/4 + -24. Let b = -62 + 35. Let n = q - b. Let y(r) = r**3 - 4*r**2 + 2*r + 1. Calculate y(n).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4975211789.\nAnswer: 17, 41, 61, 117017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000009842 to seven decimal places.\nAnswer: -0.0000098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 + -15. Let a be 6\/(-4) + 5\/(-10). Sort a, -3, s in descending order.\nAnswer: a, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bxxxbsxqxbxqqb. Give prob of sequence qqq.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22 + 17 - 12)*(4*f - 4*f + 2*f)*(2 + 0 - 3) - f + 3 - 3.\nAnswer: -55*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, h: 4}. What is prob of picking 1 z and 2 h?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-12)\/36*(4 + 2))\/((-8)\/72). Solve -3 = -x, 2*x - r = 4*l - 4 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10516961*t - 3505658*t - 3505668*t - 3505648*t.\nAnswer: -13*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**3\/5 + 30776*r**2\/5 + 2285638*r\/5 + 42334956\/5.\nAnswer: -2*(r - 15462)*(r + 37)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 7*y**3 + 19*y**2 - 5*y + 5. Let q(s) be the third derivative of -s**6\/30 - s**5\/6 + s**4\/8 - s**3\/2 - 2*s**2 + 584*s + 1. Calculate -3*c(b) - 5*q(b).\nAnswer: -b**3 - 7*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2211584 is divided by 30.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 3\/2, 5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 minus 288947870?\nAnswer: -288947870.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 23318, 46810, 70300, 93788, 117274?\n\"Answer: -b**2 + 23495*b - 176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.3 + 0.96. Let f = n + -0.26. What is the third smallest value in 4, 0.1, f?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -22878*l - 251082. What is m(-11)?\nAnswer: 576","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -153583*b**2*m*x - 34*b**2*m - b**2 - 18*b*m - 126*m*x + 93*m - 4 with respect to x.\nAnswer: -153583*b**2*m - 126*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1233221220 (base 4) to base 2\nAnswer: 1101111101001101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -38 + 64. Suppose 5*j + 1 - c = 0. Solve j*m - 6 + 1 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.2 + -0.3. Let p = -0.074 + -0.026. What is the biggest value in 4, p, q?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 - -11.32. Let s = -5.42 - -5.3. Let p = s + x. Which is the biggest value? (a) -2\/7 (b) -0.5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 31*a**2 + 2*a + 391. Let s(q) = q**2 + 1. Let o(i) = 6*s(i) - v(i). Differentiate o(u) wrt u.\nAnswer: -50*u - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.5 (b) 19 (c) -3 (d) 18.6 (e) 2\/125\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -8*d + 74. Let m be o(9). Suppose -82*f + 3812 = -80*f + 2*w, -1909 = -f - m*w. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 330 and 14205?\nAnswer: 312510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 59181*s - 59181*s - 13693*s**3 + s**3 - s + s + 2*s**2 - 2*s**2 - s**3 + (s + 0*s + 0*s)*(3*s**2 - 2*s**2 - 3*s**2).\nAnswer: -13695*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*r - 1853 = -28*r. Suppose 0 = r*d - 108*d - 13. Solve -4*h - g + d = 0, 0*h = -2*h - 5*g + 11 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -76\/9 and -73\/45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 1343126656?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3870 by 10.\nAnswer: -387","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -6 + 40\/5 - 4. Let r be (2 + 4 + c)*(-1)\/(-34). What is the third biggest value in 4, -1\/2, 5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of -r**2\/2 - r - 7. Let q be y(-5). Suppose 0 = -5*w + 14 - q. Solve w*j + 4 + 2 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*a + 12*a = -12 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1\/4, 18\/1631, -2?\nAnswer: 18\/1631","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 57 - 307. Is 118*(-6 - q\/4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13027.\nAnswer: 7, 1861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -45*v + 27*v + 18 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -f + 2. Let z(p) = p**2 - p - 3. Let h be z(0). Which is the biggest value? (a) 0 (b) h (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-22)\/(-33))\/((-28)\/6)*156\/(-52).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 141 is divided by 44.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -334 - -336. Which is the third biggest value? (a) -10 (b) n (c) -58\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (264\/(-40) - -8)*10\/(-2). What is the remainder when (-9156)\/(-98) + 3\/f is divided by 27?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 83?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -302*f - 319*f - 3 + 606*f. Let i(s) = 136*s + 28. What is 3*i(c) + 28*q(c)?\nAnswer: -12*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gxx when three letters picked without replacement from mhmmxhsxmlmlg?\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-76)\/20)\/(7\/(-35)). Let m(h) = -h**2 + 24*h + 43. Is 31 a factor of m(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 295*j**2 + 205*j - 53. Does 22 divide l(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -242, 5738 in decreasing order.\nAnswer: 5738, 2, -242","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -561.47 to the nearest ten.\nAnswer: -560","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3165.5 kilometers?\nAnswer: 3165500000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 284, 482, 676, 866?\n\"Answer: -2*i**2 + 204*i + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 - (8 + -7)*(-2)\/1. Which is greater: g or 2\/25?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1815462 and 3498?\nAnswer: 1815462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*p**6 + 62362*p**5 + 370297*p**2.\nAnswer: -240*p**3 + 3741720*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 587300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b = 5*i - 30, 8*b - 20 = 3*b - 5*i for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 179438594?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 698 = -2*l, -2*f + 7*f + 2*l = 868. Suppose 13*m + 31 - f = 0. Is 3 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7070?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 126\/30*25\/15*(-8)\/8.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 124, -4, 5, -16 in descending order.\nAnswer: 124, 5, -4, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9778099?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, l: 1, x: 4, g: 2, v: 5, c: 2}. What is prob of sequence pcv?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1797.6 - -1801.6. Let v = 103\/4 - 26. Sort -0.4, o, v in decreasing order.\nAnswer: o, v, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 53 - 14*o - 53 to v + d*o and give d.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 3*r - 24 + 7, 3*y + r = 3. Let n = -2 + y. Which is smaller: n or 3\/5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 4*t = -28, -2*g + 2*t - 26 = -3*t for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 11) to base 14\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v**2 - 148*v + 292 = 0. Calculate v.\nAnswer: 2, 146","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 163 + -63. Let d = u + -94. Suppose d*m = 2*m - 3*t + 5, -4*t = 20. Solve -m*i + 5 = 0, -i = 2*h + 2*i - 13 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (483 - 1884 + 6081 + 5654 - 5 + 3 + 4 - 3 - 1 + 2 - 1 + 2 + 0 + (-2 + 2 + 2)*(-6 + 1 + 4))*(-1 + 1 + 2*a) as l + d*a and give d.\nAnswer: 20666","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22 and 2090.\nAnswer: 2090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.1 - 0.1. Let o = 0.12 - 0.058. Let x = o + -0.562. Which is the biggest value? (a) x (b) -2\/13 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vbo when three letters picked without replacement from {v: 2, o: 6, b: 1, k: 7, u: 1}.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1217 + -797. Is 12 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 s when two letters picked without replacement from sgtggetegedewdseggtd?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -29.18 - 12.168179\nAnswer: -41.348179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + (sqrt(2299) - (sqrt(2299) - (sqrt(2299) - (1 + 2*sqrt(2299))))) + (-2 + sqrt(2299))*5 + sqrt(2299) + -1)*-4)**2.\nAnswer: -14080*sqrt(19) + 920624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.9558 + 0.0442. Which is the nearest to 1\/4? (a) v (b) -6 (c) 2\/15 (d) 13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.12, -2\/3, 11, 5, 1\/5 in increasing order.\nAnswer: -2\/3, -0.12, 1\/5, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3162 - 9469 - 2*k**2 + 3164 + 3143.\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c + 3*y + 1, -6*c + 5*y = -2*c - 9. Let s be 0*c*3\/6. Let a(x) = x**2 + 7. Determine a(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*k + 1550 - 5486 = 0. What is the hundreds digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-24))**9 assuming p is positive.\nAnswer: p**(-216)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10225534 + -2.\nAnswer: -10225536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 14457407 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2396*p + 3794. Determine h(-2).\nAnswer: -998","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 74 - 314. Let o be 2\/5*c\/(-96). Solve -7 = f + 4*y, y + y - o = -5*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 divided by -2?\nAnswer: -338","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3 - 3)*(1 - 4 + 1)*(6 + 16*m - 25*m - 4).\nAnswer: -18*m + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-245)\/28*((-350)\/(-125))\/7\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 + -2 - (79 + -90)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -91 less than 0.161?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -3*s + 61. Let l(i) = -i + 20. Let h = 2852 + -2844. Determine h*l(r) - 3*y(r).\nAnswer: r - 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1250243 is divided by 10082?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 2*a = 2*h - 7, 3*h + 1 = -5*a. Suppose 5*s = -5*u + s + 119, 2*s = -h*u + 73. Solve 2*q + 2*t = -0*q, -5*q = -4*t - u for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 5*q + 8, -3*k + 1050*q = 1053*q. Let i(z) be the first derivative of 2\/11*z**k - 1 + 2\/33*z**3 - 6\/11*z. Factor i(x).\nAnswer: 2*(x - 1)*(x + 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(1\/2))**(-48))**(-42) assuming q is positive.\nAnswer: q**1008","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4 - 58\/10)\/(15\/(-100)). Suppose -k*p + 958 = 94. Does 8 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 597.7631 days in hours?\nAnswer: 14346.3144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 4*q - 6. Let r be m(7). Suppose 0*d = -2*d + 3*f + r, d = -2*f + 11. Let c = d - -7. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, 229, 867, 2121, 4195, 7293, 11619?\nAnswer: 17377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**2 - 10*h - 10. Let p be x(-8). Suppose -p = a - 3, -4*a - 22 = -2*i. List the prime factors of i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -12a + 1?\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 52 and 108.\nAnswer: 1404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*p**4 + 4*p - 15*p**4 + 3 + 8*p**4 to r*p**3 + m*p**2 + x*p + h + w*p**4 and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*s - s - 3*s)*(1 - 2 + 3 + (-1 + 5 - 5)*(-3 + 4 - 2))*(762*s**3 + 758*s**3 - 1383*s**3) to the form v*s + w*s**3 + q*s**4 + m + g*s**2 and give q.\nAnswer: -411","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 10*z**4 - 10*z**3 - 6*z**2 - 9*z + 7. Let j(f) = f**4 - f**3 - f**2 - f + 1. Let d(v) = -14*j(v) + 2*y(v). Find the third derivative of d(t) wrt t.\nAnswer: 144*t - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1729847?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2138131.64 < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1372990684 to the power of 1\/2, to the nearest integer?\nAnswer: 37054","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 - 110 = -8*b. Suppose -52 - 44 = -4*m + 4*c, 5*m - 4*c = 121. Let r = b - m. Solve 0*i - i - 4 = 5*v, -4*v + 3*i + 12 = r for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52556787\/5 at most as big as 10511356?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*y + 17*y + 17*y - y**2 + 829 - 62*y.\nAnswer: -y**2 - 5*y + 829","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 0, 5*s + 11 - 3 = 2*d. Suppose 4*k + 4*x = 0, -4 - d = 4*x. Solve 2*r - 2 = 5*v + 6, -v = -k*r + 8 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -3*(sqrt(5103) + 2) + 2)**2.\nAnswer: 972*sqrt(7) + 45963","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 3*i - 5*i - 34 = 0, l = 3*i + 21. Suppose 4*s = 9*s - 4*a - 695, a = -4*s + 535. What is the lowest common multiple of l*(s\/(-6))\/(-5) and 15?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-2*(0 + sqrt(180)))**2 + 0.\nAnswer: 720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18615717?\nAnswer: 3, 23, 31, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*c**3 + 10*c**4 + 2*c**4 - c**2 - 5*c**4 - c + 3 - 2 as t*c**2 + b*c**4 + x*c**3 + d + r*c and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -260*a + 466 + 3434 = 0 for a.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 18959372 divided by -1?\nAnswer: -18959372","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44622 + 12342 = -205*t - 333*t for t.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + -35 + (-8 - -1) + 15 + -1.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -16\/9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7 and 90671?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 49 + -44. What are the prime factors of 183*4\/(n + -1)?\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.334 times 2.2\nAnswer: 5.1348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -36 + 44. Suppose 10 = 2*c - r. Solve -6*y = 2*s - y - 27, 0 = -s + 2*y - c for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -631 - -18?\nAnswer: -615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:55 PM and 11:32 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -184 + 189. Suppose 2*o + 5*y + 7 = -4, 5*y + 5 = -n*o. Solve -o*p - 4*h = -3*h + 4, -20 = p - 4*h for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*6*-5*(-1 + (-3 + sqrt(3)*-1)**2).\nAnswer: 1080*sqrt(3) + 1980","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 + -6.7. Let m = -0.1 - -1.1. Let g = m - 1.5. Put y, g, 3 in ascending order.\nAnswer: g, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5471970 divided by 15.\nAnswer: 364798","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Solve -103*r - 6309 = -3837 for r.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 35 = 31. What is the remainder when 13 is divided by j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -1\/6 (c) 0.1 (d) -24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.02 + -235.02. Let z = -2.52049 - -237.40749. Let a = g + z. What is a rounded to two dps?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -538 >= 17.9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 999299.7 weeks in microseconds?\nAnswer: 604376458560000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 3*l**2 - 7*l + 4. Let r be i(4). Suppose -t - r + 8 = 0. Let n = t + 16. Solve -3*o + 4 + 8 = n for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 3*a**3 + 54*a**2 - 4*a - 63. Give t(-18).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(117)*3 + sqrt(117) - ((sqrt(117) - 3*sqrt(117) - sqrt(117)) + sqrt(117))*2)\/((3*sqrt(225)*4 - sqrt(225))*-6).\nAnswer: sqrt(13)\/330","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**2\/11 - 170*x\/11 + 86\/11.\nAnswer: -2*(x + 43)*(2*x - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -24786216 by 7566.\nAnswer: -3276","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1*(-6 + 40572\/6764). Let b = u - 82874\/8455. Find the common denominator of b and 113\/60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -5*o**3 + 3*o**2 + 1771*o - 8304. Calculate k(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1170 is divided by 202.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 41 + 5. Suppose -3*n + 1920 = -3*h, 5*h + 590 = n - s. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*c**3*f**2 - 799*c**3*f - 2546*c**3 + 3*c**2*f**2 wrt f.\nAnswer: 4*c**3*f - 799*c**3 + 6*c**2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 + -25. Let t = 23 + x. Is 8 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -365 - -379. Suppose n - 3 = v. What is the greatest common divisor of 5 and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -10*g. Let w(k) = 28*k. Let j(x) = -16*a(x) - 5*w(x). Let t(c) = -c. Determine t(j(u)).\nAnswer: -20*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 99 and 1714.\nAnswer: 169686","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 7 = -2*z. What is the third biggest value in z, 4\/7, -0.3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, q: 2, i: 2}. What is prob of sequence iq?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -544*h + 4 = -543*h - d, 0 = -d - 2 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 182863 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 22 = 5*d. Suppose 2*z - 4 = d. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*-55.\nAnswer: 5.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(((2*sqrt(120)*4)\/sqrt(2))\/((-1*sqrt(12)*-2 + sqrt(12))*-1))**2.\nAnswer: 1600\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -69521*-3\nAnswer: 208563","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -379, -378, -377?\n\"Answer: j - 380","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 9*z - 207. Let p be u(24). Solve p*v + 8 = -1 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 - 9\/3)*1. Let r be 117\/6 + (-1)\/w. Is (-4)\/(-10) + 1172\/r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -327*d*x**2 + d*x - 108*d - 6999*x**2 + x + 5709 wrt x?\nAnswer: -654*d - 13998","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -49455 divided by 3\nAnswer: -16485","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rlm when three letters picked without replacement from mwdddmmmmlmrddw?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 711041 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11, -96, -237, -434, -687, -996, -1361?\nAnswer: -1782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5140876 is divided by 72401.\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9817032?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 1 = 5*c - 41, 4*w = 0. Let i = 4 + 12. Let p = -11 + i. Solve 0 = -m - p*u + 19, -4*m = -0*m + 3*u - c for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*h**5 + 848498*h**3 - 2*h**2 + 2588*h - 1744.\nAnswer: -140*h**3 + 5090988*h - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2265 + a + 2265 + 7*a**3.\nAnswer: 7*a**3 + a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = p + 3*p. Suppose -4*s = -c + 23, 25*c - 8 = 21*c - 5*s. Solve 2*b - 5*r = p, 0 = 4*b - c*r + 2*r + 3 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -3*c**3 - 12*c**2 + 5*c + 20. Let a(b) = b**3 + 4*b**2 - 2*b - 7. Let u(g) = -8*a(g) - 3*s(g). Determine u(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 19.96 and 38373.\nAnswer: 38392.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**2 - 3*k + 12. Let c = 9 + -14. Let l be x(c). Suppose -5*m = 2*z + 550000, -l*m + z = -0*m + 220000. What is m rounded to the nearest 10000?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-2*(-3 + (-5 + -2*(1 + sqrt(117)))**2).\nAnswer: -1028 - 168*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes before 6:10 PM?\nAnswer: 7:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 126734400?\nAnswer: 2, 3, 5, 13, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/81 and -76\/755403.\nAnswer: 20395881","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 7915 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, x: 4, y: 3, e: 5}. What is prob of picking 1 y and 3 e?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 6*y**3 + 8)*(-2*y + y + 0*y)*(2 - 2 - 2).\nAnswer: 12*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0013741 to five dps.\nAnswer: -0.00137","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 7, y: 7}. What is prob of sequence yyy?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*b**2 + 64*b - 7*b**2 - 286*b)*((-3*b + 20*b + 12*b)*(b**2 + 0 + 0) + (-5 + 3 + 3)*(-b**3 + b**3 - 2*b**3) + 3*b - b**3 - 3*b).\nAnswer: 52*b**5 - 5772*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 141 is divided by 61?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.424 in -11, 0.1, -5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1596\/5 - -320. Let y = -828 - -824. Put y, 3\/7, d, -6 in decreasing order.\nAnswer: d, 3\/7, y, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -2*d**2 + 6*d - 4. Let k(y) = 4*y**2 - 11*y + 8. Let h = -2658 - -2664. Give h*k(t) + 11*l(t).\nAnswer: 2*t**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 3 - 3 + 11*r - 17*r. Let m(q) = -3*q. Calculate m(y(p)).\nAnswer: 18*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4037 + 34.9858543436.\nAnswer: 34.5821543436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + 7. What is the highest common divisor of i and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (18\/15)\/(6\/15). Suppose -5*q + 0*a + 114 = 4*a, 0 = -v*q - 5*a + 71. Let p = -3 - -8. Solve 0 = p*l + q + 3 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13679798?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 1 + (2 - 0) - 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 885 - 3*w + 5*w - 974.\nAnswer: 2*w - 89","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 867672, 867671, 867670, 867669, 867668?\nAnswer: 867667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 78 and 130.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -7, 5\/4, 0, -1\/21?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28, 288, 716, 1306, 2052, 2948, 3988, 5166?\nAnswer: 6476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u*u\/(u*u**(4\/7)*u))\/u)\/u)\/((u\/(u**(1\/9)\/u))\/u))\/((u*u**(2\/51)\/u)\/((u**(3\/4)\/u)\/u)) assuming u is positive.\nAnswer: u**(-20347\/4284)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -140*v**4 + 10*v**2 + 3*v - 159160?\nAnswer: -560*v**3 + 20*v + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-22)\/(-66) - (1 + 4\/(-3)). Which is the smallest value? (a) 12 (b) -5 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 8 + 1)*(4 - 3*k - 4)*(-7 + 1 + 18) + (-k - 2*k + 2*k)*(1 - 2 + 4).\nAnswer: -183*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of i**4 + 161*i**3 + 2658*i + 4 wrt i?\nAnswer: 12*i**2 + 966*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhchchcchh. Give prob of picking 3 c.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 3*f**2 + 12*f. Let l be u(-6). What is the hundreds digit of l\/(-126) + (-1)\/14*-13318?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 189089?\nAnswer: 173, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 + 5*r**2 - 5*r + 4. Let b be (0 - (-3 + 6)) + 5. Suppose -b*n + 6 = -0*n. What are the prime factors of v(n)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*n**2 - 146*n + 146*n.\nAnswer: -40*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -105, -61, 13, 117?\n\"Answer: 15*y**2 - y - 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 976 is divided by 89.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.865886 milligrams to micrograms.\nAnswer: 6865.886","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -197*p + 211. Determine m(3).\nAnswer: -380","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 6*x. Let z(q) be the second derivative of -5*q**4\/6 - 126*q. Calculate f(z(l)).\nAnswer: -60*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 240 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-15)\/20 + 6\/8)\/(-1). Suppose 0 = -c + 3, f = -3*k + 2*k + 2*c + 881. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2299) + 4 + sqrt(304) + 2)*1.\nAnswer: 6 + 15*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -44 - -48. Suppose -b + 3 + 4 = -2*g, 5*b + a*g = 7. Solve -b*l = l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 142 = -5*m. Let x be (1\/15)\/(99\/m + 4). Sort -0.5, -17, x, 3 in decreasing order.\nAnswer: 3, x, -0.5, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4*(-3)\/15 + 42\/10. What is the remainder when 74 is divided by 17 - (12\/y + (-2)\/5)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 950817 and 266?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -157*b + 152*b + 375 = 0. What is the greatest common divisor of b and 325?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -8*x - 26. Let c be w(-5). Let m(p) = -12*p - 9*p + 28*p - c*p. Let q(y) = y. Determine m(q(b)).\nAnswer: -7*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**3 + 7*x**2 - x + 7. Let p be s(7). Let q = p + 10. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sxx when three letters picked without replacement from yxxxxzzxszzxzzz?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 + 9 + 0\/1. Let f(d) = 7*d**3 - d**2 + 9*d - 7. Let c(y) = y**3 + y**2 + y. Let r(q) = -6*c(q) + f(q). Is r(j) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-212*s**4 + 23572*s - 23572*s)*(4*s - s - s).\nAnswer: -424*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the third derivative of z**6\/40 - z**5\/15 + z**4\/4 - z**3\/2 + z**2. Does 5 divide f(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 223 = -p, -19*t + 16*t - 5*p = 315. What are the prime factors of 60\/t - 6914\/(-11)?\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 5*c = 26. Let l = c - -16. Solve 0*w + l*w = 15 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -8*j + 2. Let u(z) = 15*z - 3. Let l(b) = -5*m(b) - 3*u(b). Let a = -1 + 2. Let o = 2 - a. Give l(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the third derivative of 7*r**6\/120 - r**4\/4 + 5*r**2. What is the second derivative of t(f) wrt f?\nAnswer: 42*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 3030?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (8 + -11 + -5 + -1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 11 - (2 - (6 + -2)). Let g = -13 + q. Let d = 1083\/7 - 155. Is d at most g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.44723cm in nanometers?\nAnswer: 34472300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -5*f + 4*f. Suppose -f = 2*v - 4*v. Let m = v + -2. Solve -7*i + 3*i + 2*z = -8, m*i + z + 4 = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2424 by -808.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 584 and 65*(618\/(-39) + 16)?\nAnswer: 2920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*j**4 - 736*j**3 - 908*j**2 - 200*j = 0.\nAnswer: -25, -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -2*r**2. Let b(a) be the first derivative of -1 + 0*a**2 + 0*a + 1\/3*a**3. Calculate b(o(s)).\nAnswer: 4*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -3373 (base 10) to base 7\nAnswer: -12556","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -911 + 1227. Calculate the remainder when p is divided by 95.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 317878435?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 s when two letters picked without replacement from vvpsvdvffpvpcpdvccc.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = 4*s - 3*h, s + 27 = -2*h + 6*h. Which is greater: s or -0.1113?\nAnswer: -0.1113","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*g + 2*d = 46, 357*g + 356*g - 5*d - 51 = 714*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -291175974 and -0.2?\nAnswer: 58235194.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 76 and 722.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 4*x + 5. Let l(y) = y + 1. Let r(n) = -k(n) + 3*l(n). Give r(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 453600348 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 196 is divided by 103.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-37)\/(3256\/198)*304\/(-1083). Factor 14\/19*o + k + 2\/19*o**2.\nAnswer: 2*(o + 1)*(o + 6)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (1 + -3)\/(3\/(-27)) is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/((-224)\/76) + -1. Let m = -5\/9 + 167\/252. Let s = m - h. Is s < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1001 (base 2) in base 9?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 43*p + 44*p = -14, 4*p + 16 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 4 + 7*y + 3.\nAnswer: 7*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 62*l + 1. Let o be p(1). Suppose -69*a + 55*a - 588 = 0. What is the units digit of ((-84)\/o)\/(8\/a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*c + 28*c + 13*c = 73216. What are the prime factors of c?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 3*p + 4 = 0, 1221*z - 5*p + 10 = 1226*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1413 divided by -1155.\nAnswer: -471\/385","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -46.5 - -46. Which is the biggest value? (a) u (b) -2 (c) -4 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -3*o. Let g(w) = -w**2 - 114*w. Determine g(m(b)).\nAnswer: -9*b**2 + 342*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 17, r: 1}. Give prob of picking 3 p.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -12 + 14 + 75 - 327*q + 120 + 17 with respect to q.\nAnswer: -327","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (f + f - 4*f)*(14 + 30 + 178 + 84) as d*f + u and give d.\nAnswer: -612","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1, -19, -0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -20102 - 75?\nAnswer: -20177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 + 2*u**2 + 2*u + 2408. What is the units digit of c(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -111\/2338 and -23\/42.\nAnswer: 7014","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:13 PM and 5:20 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 5*l - 8*l + 9*l)*(l**3 + l**3 - 3*l**3 + (l**2 - l**2 + 2*l**3)*(5 + 1 - 4) - 1 - 13*l**3 + 1).\nAnswer: 40*l**4 - 60*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 47333.3 to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -123 - -148. Is 29388\/10 - (-5)\/m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 AM and 9:04 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 5*k = 333, 5*k + 16 - 11 = 0. Is -163 >= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-6)*h**1\/h)\/(h**0*h)**43*(h*h**(-2)*h*h**5)**14 assuming h is positive.\nAnswer: h**21","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, -3, -0.109?\nAnswer: -0.109","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (21 - 16)*(0 + 2). Find the common denominator of (v\/(-25))\/(100\/105) and (-2)\/(-12) - (-565)\/450.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -2*c**4\/7 - 6100*c**3\/7 - 969696*c**2 - 3226722048*c\/7 - 540575299584\/7 = 0.\nAnswer: -888, -386","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.69423 + 0.7. What is t rounded to 3 dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**2 + 11. Let l be q(-3). Let t(v) = -v**2 + v + 4. Let h(w) = -5. Let r(s) = -1. Let c(x) = -h(x) + 4*r(x). Give l*t(m) - 10*c(m).\nAnswer: -2*m**2 + 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4601157?\nAnswer: 3, 11, 139429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00006937 rounded to 5 dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -5839*o**4 + 1 - 5852*o**4 + 11690*o**4 - 3094*o**2 + 1 as q*o**3 + t*o + s*o**4 + b + m*o**2 and give m.\nAnswer: -3094","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -24*q - 2. Let d(z) = -24*z - 2. What is -2*d(p) + 3*m(p)?\nAnswer: -24*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d + d + 0*d)*(-53*d**3 + 10*d**3 - 109*d**3).\nAnswer: 304*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -3*y. Suppose 2*c = -4 + 8. Suppose 0 = -s - c*s + 6. Let g(z) = -15 + 8 + 7 + 2*z**s. Calculate t(g(u)).\nAnswer: -6*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -19.2363714 rounded to one dp?\nAnswer: -19.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -56, -60, -72, -98, -144, -216, -320?\nAnswer: -462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 5*y - 6 = 0, y = 36*w - 33*w - 12 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 45757 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -522 + 447. Let t be (-1 - -2)\/((-2)\/(-8)). Let k be 290\/15 - t\/(-6). Calculate the greatest common divisor of p and k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 1, 33 = -3*a + 3*n + 12. Let x(k) = k + 8. Let w be x(a). Factor -1\/5*j**w + 0 - 1\/5*j.\nAnswer: -j*(j + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3*3\/(-18)*10. Solve -q*h = -3*h - 4 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j - 1. Let p be v(0). Let g(s) = -6 + 4*s + 3 - 3*s. Let a(h) = -h + 4. Let w(k) = 2*a(k) + 3*g(k). Calculate w(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7496 - -7495.93334. What is i rounded to 2 dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9296, 9297, 9298?\nAnswer: 9299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkppkkllpk. What is prob of sequence llp?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 34 + -20. Suppose -2*w + 121 = 2*w + 5*k, -2*k = -w + q. Does 8 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 23417*t**2 - 16705*t.\nAnswer: 46834","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**0)**3\/(f**(2\/15)*f\/(f**3\/f))*(f**(1\/7)\/(f**6*f*f))\/(f**(-2\/7)\/(f\/(f\/(f\/f**4)))) assuming f is positive.\nAnswer: f**(-704\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 987*h**2 + 14823*h + 270.\nAnswer: 3*(h + 15)*(329*h + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three fifths of a millimeter?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 32676 and 57816681?\nAnswer: 1167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -32*x - 82. Let p be s(-5). What is the highest common factor of 858 and p?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -464 + -693. Let o = 1972 + d. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 652839213?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 65 and 104.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -3\/17, -20\/3, -2?\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = 20, t - 10*u = -7*u - 15 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2478300042.\nAnswer: 2, 3, 461, 895987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1f45 (base 16) to base 7.\nAnswer: -32224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -72\/7*a**2 + 108\/7 - 148\/7*a**4 + 356\/7*a**3 + 18\/7*a**5 - 486\/7*a = 0. What is a?\nAnswer: -1, 2\/9, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*-4 + 600\/50. Solve -12 = 14*h - x*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvz when three letters picked without replacement from zxxxoov?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are -20623 and -41243\/2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.3 - -1.3. Let s = -2 + b. Let f = -2 - s. Which is smaller: f or 0.1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10807735 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9.85 + -0.15. Let v = s - -9.7. Let j = 85 + -81. Which is the nearest to v? (a) 5 (b) -4 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes before 10:12 PM?\nAnswer: 9:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 258389?\nAnswer: 258389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.7172 - -3.2172. Put -7, 8\/5, m in decreasing order.\nAnswer: 8\/5, m, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - (-256)\/(-84))*-9.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 2*a - 10. Let i be m(14). Let x(n) = 2*n - 34. Let d be x(i). Let f(o) = 2*o**2 - o + 4. What is the tens digit of f(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*n = -2264 - 4626. Let l = n + 1130. What is the remainder when l is divided by 89?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 88254 and 264762?\nAnswer: 264762","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the third derivative of -z**6\/120 + z**5\/60 - z**4\/24 - 2*z**3 - z**2 - 22931*z. Let i(g) = g + 4. Let m be i(-4). Determine w(m).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5406 divided by 51\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11.69 + -11. Which is greater: 0 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 224 + -37. Let f = x - 189. Is 5.6 greater than or equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 171 = 5*s, -3*p = -s - 0*s + 19. Calculate the remainder when s is divided by (-2676)\/(-156) - 2\/13.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 6*m = m - 5, -f + 2*m = -2. Let v be f\/((-2)\/(6 - 4)). Suppose v = 2*p - 0*p - 24. What is the smallest common multiple of 20 and p?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 154381033 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -86*w. Let k(u) = -8*u. Give j(k(q)).\nAnswer: 688*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24035 and 93445.\nAnswer: 40835465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 857\nAnswer: -2\/857","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 352\/57 - 130\/19. Which is the nearest to -1? (a) z (b) 18 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5310229913 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p**3\/2 - 2547*p**2 - 95757*p\/2 - 45333 = 0.\nAnswer: -1679, -18, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(17)*-1*6 - (sqrt(34)\/(sqrt(2)*-1))**2).\nAnswer: -6*sqrt(17) - 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**2 - 5*s - 14. Let m be v(7). Solve m = -7*f + 4*f + 15 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15180 and 166700.\nAnswer: 126525300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 - 288981.4?\nAnswer: -288981.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 64 - 61. Find the common denominator of (-76)\/(-22) + -1 + 2 and 1\/v - (19 - 19).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/28 and 145\/6468?\nAnswer: 6468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1810*x - 95 = -5*w + 1805*x, 2*w - 30 = -3*x. Calculate the lowest common multiple of w and (-3)\/(3\/(-2)) - -10.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 - -14. Let h = 11 - v. Solve 0 = -g + h*g + 12 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -111*f**4 + 179*f?\nAnswer: -1332*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6125.529ms to minutes.\nAnswer: 0.10209215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -235 + 237. Solve 7 = -r - 4*j, r = -2*j + 7*j + v for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5098012\/9 or -566446?\nAnswer: -5098012\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 16*o**3 - 2*o**2 + 2*o - 1. Let k be l(1). Let u(n) = n + 33. Let x be u(-21). Solve -x = -f + 4*t, f = -5*t - 0 - k for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-105)\/(-25) - (-4)\/5. Suppose -5*b + 3 = s - 2*s, 2*b = p*s - 54. Let l be (-20)\/(-18)*s\/20. Is 0 less than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 230 - 11424321?\nAnswer: -11424041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -91952, -91948, -91944, -91940, -91936?\n\"Answer: 4*w - 91956","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 192 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 669 - -490?\nAnswer: b29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1672 - -5014. Let d = y + -2936. Round d to the nearest 100.\nAnswer: 3800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1206, -1205, -1204, -1203?\n\"Answer: n - 1207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.5 in 0.06, 2\/15, 0.4?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 4*z**2. Let m(f) = -f**2 + 24*f. Let o(p) = -16*p. Let s(h) = -2*m(h) - 3*o(h). Give u(s(x)).\nAnswer: 16*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -151\/3 + 50. Let a = -690 + 690.4. Sort -1\/2, b, 0, a in increasing order.\nAnswer: -1\/2, b, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2376)\/(-5148)*156\/18?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 234 - (-6)\/(2 + 0). Suppose 5*s = 63 + r. Suppose 3*w - s = -w. Is 5 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 - 409\/(-207)) + (-284)\/3266. Factor 2\/9*t**2 - 8\/9*t - o + 2\/9*t**3.\nAnswer: 2*(t - 2)*(t + 1)*(t + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1289513 - 0.1.\nAnswer: 1289512.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 3)*(-2*x**4 + x**2 - 4*x**2 + x**2).\nAnswer: 6*x**4 + 6*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the second derivative of a**5 - 5*a**3\/6 + 27*a**2\/2 + a. Let j(d) = d - 1. Let w(g) = b(g) + 5*j(g). Differentiate w(f) with respect to f.\nAnswer: 60*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 1155*m**3\/4 - 9822*m**2 + 18633*m - 288 = 0?\nAnswer: 6\/385, 2, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -153 - -3. Let p = 155 + q. What is the third smallest value in p, -1\/8, 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**5)\/(t\/(t*t\/(t**(-6)*t))))\/(t**(-1))**(-1\/28)*((t\/t**(-1\/7))\/t**(-8))\/((t**2\/t*t)\/t)**(-20) assuming t is positive.\nAnswer: t**(871\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/(10\/4 + -1). Factor 10 + 0*x**2 - 2*x**2 - 5*x - 3*x**c.\nAnswer: -5*(x - 1)*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 - 42*d**2 + 300*d + 84. What is the hundreds digit of z(-50)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 940.6028 to the nearest 100.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + (-47 - -58) + (19 - 1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -8 and 18976 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 9*z**2 + 4*z - 6. Let u be (-14)\/3 + 1533\/(-657). Let y(k) = 6*k**2 + 3*k - 4. Give u*y(a) + 5*h(a).\nAnswer: 3*a**2 - a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -493 - -508. Solve -2*o + z - 4 + t = 0, -3*o - 3 = 5*z for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + 12\/(-8))\/(-1)*(-216)\/(-2106).\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -2*t + 4 - 3*t - 4. Let m(s) = -s. Give l(m(n)).\nAnswer: 5*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 9933 a factor of 1415835049?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as -8.8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 846890 to the nearest integer?\nAnswer: 920","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3210\/(-110) + 6\/33. Let p = -27 + 29. Sort p, y, -2\/9, 2\/19.\nAnswer: y, -2\/9, 2\/19, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 116 and 516.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*k - 2*k - 5*k)*(-18*k**2 + 6*k - 6*k) as q*k**2 + y*k**3 + b + n*k and give y.\nAnswer: 252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -15*z + 30*z - 16*z - 2 + 3 + 0 - 4*z**2. Give p(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4)\/4)\/(2\/376). Let u = -294 - f. Is u\/(-9) - 4\/(-18) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-1425)\/171)\/(-5))\/((-1)\/(378\/15))\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 3*u + 131 = 6*z, 3*u = 3*z - 114. Solve z*j = 63 + 77 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - y - 13 = 0, 4 - 14 = w + 4*y for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/7, -3, 3, -2\/19 in ascending order.\nAnswer: -3, -2\/19, 1\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**2 - 8*l - 3. Let s(p) = -p**2 - 8*p - 2. Let f(v) = -6*s(v) + 5*t(v). Give f(-6).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-256)\/112 - (-4)\/14. Suppose 5*j + 10 = 0, -u - 4*u = 2*j - 246. Calculate the remainder when u is divided by 14 - (-5 - (i - -1)).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12 - -14. Let s(r) be the first derivative of 0*r**2 + r - 1\/4*r**4 + 0*r**3 + l. Differentiate s(h) wrt h.\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -273853773, -273853785, -273853821, -273853893, -273854013, -273854193?\nAnswer: -273854445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-8)\/(-1) - 142\/30 and 64\/45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yycycyycyccy. What is prob of picking 4 y?\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 14451 + -40?\nAnswer: 14411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/4 + 22\/4. Let v = l - 2. What is the derivative of 2*p**v - 3*p**3 + 12 - 13 wrt p?\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = c + 3, -101*x - 4*c - 2 = -99*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -2*d - 2. Let t(i) = 2*i**2 + 24*i + 43. What is the smallest common multiple of m(-8) and t(-2)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -220554, -441110, -661668, -882228?\n\"Answer: -l**2 - 220553*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1170025712.\nAnswer: 2, 3137, 23311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2576.3 + -2587.287. Let o = 11 + s. Round o to 2 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 510552860 and 510552858 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1134*g - 132698 = 346*g - 544*g - 211*g for g.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**0)**22*((a**(-1\/2)\/a)\/a)**(-2)*(a**(-2\/5))**(-37\/5)\/((a\/(a\/(a*a*a**(2\/13))))\/a*a**(-3)) assuming a is positive.\nAnswer: a**(3187\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -26 - -28. Suppose z*w + w + 48 = 0. Let q = w - -29. What is the greatest common factor of q and 104?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1085, 18, 2, 31 in decreasing order.\nAnswer: 1085, 31, 18, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -2*g**3 + 25*g**2 - 13*g - 14. What is p(12)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = -u - 2*u. Let p = u - 10. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hlp when three letters picked without replacement from hlgllhhhphpx?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 59\/72 - 4\/9. Let u = -3841.8 + 3838.8. Sort r, u, -1\/7, -1\/20 in ascending order.\nAnswer: u, -1\/7, -1\/20, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*j + 298 = 5*m, 3*m - 1489 + 755 = 4*j - 776 for j.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -544 divided by -6.\nAnswer: 272\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + 10 + -4 + -3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:04 PM and 7:37 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 5*d - 2*d - 2*f, -5*f = 3*d + 13. Calculate the remainder when 43 is divided by (-1 - (d + -2)) + 9.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 10153639, 20307278, 30460917, 40614556, 50768195?\n\"Answer: 10153639*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1731*a**3 - 602*a**3 - 707*a**3.\nAnswer: 422*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 - 89*r**2 + 574*r - 12932. Calculate u(84).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*h - 2*h - 5*c + 35, 2*h + 2*c - 16 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4621 - -4821. Calculate the smallest common multiple of 5 and j.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 0 - (-7 - -2 - -6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 93 + -91. Are y and 36\/11 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 918*l*x**6 + 145*l*x - x**2 wrt x.\nAnswer: 110160*l*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*c + 4156*c**2 - 349*c**2 + 479*c**2 + 11*c - 18*c as h*c + w*c**2 + a and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 8035 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from seef. Give prob of picking 1 e and 2 s.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13.5 + 13.9. Which is the third smallest value? (a) k (b) 1.2 (c) 0.3 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -49 - -105. Let h = 58 - d. Suppose 0 = h*w + 5*w - 875. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1694048 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 5 + 1)*(4 - 2 - 4 + (3 - 4 - 1)*(2 + 4 - 4))*(-5*q - 5*q + 0*q).\nAnswer: -420*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a decade in months?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 215437?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - (-15 + (-13 - (-20 - 10))).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l**(-12)*l*l*l**12*l assuming l is positive.\nAnswer: l**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 145 and 55?\nAnswer: 1595","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16 - -18. Which is the third biggest value? (a) 2\/9 (b) u (c) -1\/31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -628 (base 14) to base 7\nAnswer: -3351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((y - 3*y + 0*y)*(-3 + 2 + 0) + (0*y + 2*y - y)*(0 - 1 - 1) - 4*y + 0*y + 2*y)*(1 + 4*y + 15 - 2*y)*(4*y**3 - 6*y**3 + 3*y**3).\nAnswer: -4*y**5 - 32*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1, 7, 5 in decreasing order.\nAnswer: 7, 5, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36142500 divided by 228750.\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**3 + 2*r**2 - 2. Let s be q(2). Suppose 3*x + 20 = -x. Let l = s + x. Is 7 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000048994 to 7 dps.\nAnswer: 0.0000049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2087*x + 9955 + 25524 = 0 for x.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 + 1618.\nAnswer: 1621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 672\/26 + ((-14904)\/(-1053) - (3 - -11))\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -18077691 smaller than -18077691?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -1597222 less than -1597222?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5597 + -5127. Solve -12*h + 362 = d for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10 and 2987590?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) -2\/3 (c) -1\/7 (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2030, 2047, 2074, 2117, 2182, 2275, 2402?\n\"Answer: j**3 - j**2 + 13*j + 2017","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 2*p**2 - 23*p - 9. Let r be s(12). Suppose 0*b = r*b. Suppose b = 2*c + 4, 2 = -4*u + c + 4*c. Sort u, -4, 4.\nAnswer: -4, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 7*y**2 - 3. Let a(h) = 6*h**2 - 2. Give 3*a(b) - 2*q(b).\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(65)*1 + (sqrt(65)*2*3 - sqrt(65)))\/((sqrt(125) - (sqrt(125) + sqrt(125)*-1 + sqrt(125))*-4)*-6).\nAnswer: -sqrt(13)\/150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 3*q + 8 = 0. Suppose -2*m + 5*m + 8 = 2*o, o = -3*m + 13. Calculate the remainder when o is divided by q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:21 AM and 6:39 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5.91309 - -5.92. Round o to 3 decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*j - 30*j + 488 = 20*j. Which is the third biggest value? (a) 0.5 (b) -0.4 (c) -1 (d) j (e) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -86313*a**3 + 5761*a - 3?\nAnswer: -517878*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 204, 0, -38 in descending order.\nAnswer: 204, 0, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -115\/903 + -2\/129. Let a = -13 + 15. Which is smaller: o or a?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1825, -1811, -1783, -1741, -1685, -1615, -1531?\n\"Answer: 7*m**2 - 7*m - 1825","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c\/c**(2\/53))\/c)\/c*c*c**(-40)\/c*(c**(18\/11))**(-14\/13) assuming c is positive.\nAnswer: c**(-316802\/7579)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.549706197 to zero dps.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 126314693.\nAnswer: 43, 59, 49789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 4*z**2 + z - 1. Suppose f + 2*f + 6 = 0. Let l be q(f). Suppose -2*p + l = -13. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6143 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 327459?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11294\/5 + 2259. Suppose -4*f - 17 = -5. Put 4, f, -2, n in descending order.\nAnswer: 4, n, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -131*v - 88. Give t(-1).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4436 - 4415. Which is smaller: c or 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3150292 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -20538805 divided by 1\nAnswer: -20538805","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + -2. Let s = 0 - b. What is the remainder when 2 is divided by s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 186947 is divided by 9839.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 787*m**3 + 154452*m**2 + 2*m - 1. Let v(z) = -z**4 + z**3 + 3*z**2 + 2*z - 1. Let u(c) = 5*v(c) - 5*w(c). Factor u(i).\nAnswer: -5*i**2*(i + 393)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes after 11:13 AM?\nAnswer: 6:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 - 5*x**2 - x - 1. Suppose -3*q = 5*u + 28, 2*u + 4 = u + q. Calculate the remainder when 15 is divided by a(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -140*j - 1531. What is y(-11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -728 divided by -14\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 190.651 - -5.749. What is b rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -625 + 627. Find the second derivative of -120*a + 278*a**3 - 3738*a**2 + 3738*a**s wrt a.\nAnswer: 1668*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**2 + s. Let u(k) = 2*k**2 + 9*k. Let v(c) = -3*a(c) + u(c). Let f(h) = -3*h + h + 5*h - h. Determine -5*f(t) + 2*v(t).\nAnswer: -2*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the first derivative of -o**2\/2 - 521. Let q(b) = -10 - 154*b**2 + 7 + 3. What is j(q(u))?\nAnswer: 154*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*j**3 - 130*j + 7*j**3 + 109*j.\nAnswer: 9*j**3 - 21*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**2\/4 - 259*t\/4 - 255.\nAnswer: -(t + 4)*(t + 255)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 3 = i, 0 = -3*r + 2*r - 2*i + 1. Let w(y) = 1 - 7*y - 4 - 2 + 2. What is the remainder when w(-3) is divided by r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 93953.69 years?\nAnswer: 1127444.28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1317?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1606.24103 take away 0.29?\nAnswer: -1606.53103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 460 divide 15313400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 593.8172601993 take away 47?\nAnswer: 546.8172601993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109*d + 49*d - 10*d = 29600. Calculate the highest common divisor of d and 150.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o*o**(-2\/7)\/o)\/o)\/o*o*o)\/o)\/o*o**(3\/19)*o*o*o\/(o\/(o\/((o*o**(-11\/4))\/o))*o)*o**(14\/9) assuming o is positive.\nAnswer: o**(20003\/4788)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 77*f + 2*f**2 - 77*f. Let s(w) = -w + 2. Let v(z) = -14*z - 8. Let h(c) = -4*s(c) - v(c). Calculate x(h(i)).\nAnswer: 648*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, 13, 19, 25, 31?\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 399 - 14. Suppose -4*n - 6*u + 1538 = -9*u, 1926 = 5*n - 2*u. Are m and n non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 6*l**2 + 10*l - 3. Let t be g(-3). Let c be -1*8*-1 + -1. What is the greatest common factor of t and c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -48 + 0. Which is smaller: -46 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -530.452*-0.5\nAnswer: 265.226","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-171)\/9)\/190)\/((-8)\/(-32)*3).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 s when two letters picked without replacement from {s: 6, l: 1, w: 2, o: 1, z: 3}?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1231, 2466, 3701?\n\"Answer: 1235*l - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12022027?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (0*(-3)\/(-9))\/(2*-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 2*c**2 - 11*c + 9. Let a be s(7). Suppose -o = -3*o + 4*v + 50, 60 = 3*o - 3*v. What is the highest common divisor of o and a?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11 and ((-5)\/(-30))\/(1\/6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*5*(sqrt(320) - (sqrt(320) - ((-2*sqrt(320))**2 + sqrt(320)))).\nAnswer: -25600 - 160*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the second derivative of -7*w**4\/6 + 5*w**3\/6 + 6*w**2 + 3*w. Let q(r) = 5*r**2 - 2*r - 4. Let p(d) = 6*a(d) + 17*q(d). What is p(5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 677.4165 microseconds in hours?\nAnswer: 0.00000018817125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 - (-1 - -2)*-11. Let y = a + -6. Suppose -2*k - 5*h = -4*k + 28, 4*k = -2*h + 8. Solve k*x - 11 = 3*i, -y*i = 2*x - 6*i - 4 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 213859361 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 144 = -5*a - 48, -4*u + 76 = 3*a. Let v = 0 - -21. Suppose -3*j = 3*l - v, 3*l - 13 = -j + 4*l. Calculate the smallest common multiple of a and j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 AM and 8:32 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1690142, 1690210, 1690294, 1690400, 1690534, 1690702, 1690910, 1691164?\n\"Answer: q**3 + 2*q**2 + 55*q + 1690084","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 - 4. Suppose 11 = s*o - 5. Suppose -2*q - o = -10. Solve 0 = q*f - 3 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1a - -293033?\nAnswer: 293052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10*b**4 - 153122*b**3 + 71*b - 58977?\nAnswer: -120*b**2 - 918732*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, -49, -5, -4, 0, 7 in ascending order.\nAnswer: -49, -12, -5, -4, 0, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 66 and 638?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 40*i**2*z - 2*i**2 - 6*i*z + 25803*i - 129149798*z wrt i?\nAnswer: 80*i*z - 4*i - 6*z + 25803","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - -5. Let l = 4 - y. Let u = -330 - -332. Solve z = -z - 2*w - 4, u*w = -l*z - 1 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 749 is divided by 247.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q = 6*f - 15, 8*q - 3*q = -6*f + 5 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 1360 = 2*d, -4*y + 6*d = 4*d - 2730. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -25 - -15. Let b(r) be the third derivative of r**5\/60 + 5*r**4\/12 + 5*r**3\/3 + 10*r**2. Does 4 divide b(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + 1)*(-553 - -516).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:38 AM and 5:17 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 106560 and 1620?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 3*s**3 + 3*s - 108. Let q(n) = -13*n**3 - 11*n + 433. Give 9*m(p) + 2*q(p).\nAnswer: p**3 + 5*p - 106","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -1707*v. Let w(o) = -8773*o. Give w(z(k)).\nAnswer: 14975511*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 298 divided by -28.\nAnswer: -149\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -15120510 (base 6) in base 2?\nAnswer: -1111111110111111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-0.036.\nAnswer: 0.036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*c + 242 = 939 + 1751. Let x be 1524\/(-9)*3\/(-2). Find the common denominator of 74\/9 and (12\/c)\/((-1)\/x).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2678*c**2 + 3 - 3 + 2634*c**2 + 0 - 5302*c**2.\nAnswer: 10*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2706, -4373, -6040?\nAnswer: -7707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4865 is divided by 297.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -412 (b) 2\/21 (c) 1\/8 (d) -0.01 (e) 554 (f) 0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 659189 + 0.167?\nAnswer: 659189.167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 635 = 2*p - v, 0 = 2*p - 5*p - 2*v + 970. What are the prime factors of p?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3.07787 from 5436.37718.\nAnswer: 5439.45505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ok when two letters picked without replacement from xxllovkexovo?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -2*h. Let t be c(4). Let p be (-12)\/(-4)*t\/(-6). Find the second derivative of p*i - 2*i + i**5 + i**5 wrt i.\nAnswer: 40*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72290.55 milliseconds in seconds?\nAnswer: 72.29055","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -79\/241 - 4\/723. What is the nearest to -0.1 in -2\/7, 8.9, s, -4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.87127609 rounded to 3 dps?\nAnswer: -0.871","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the second derivative of -25*o**3\/6 + 6*o. Let s(l) be the first derivative of l**3\/3 + 4. What is s(q(r))?\nAnswer: 625*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*u + 17*u - 522 = 0. Let m(s) = -261 + u - 2*s. Let b(g) = 45*g**2. Give b(m(f)).\nAnswer: 180*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 5*h. Let g(z) = 10*z**2 + 21*z**2 + 15 - 111 - 90*z**2 + 57*z**2. Give n(g(q)).\nAnswer: -10*q**2 - 480","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*n - 20*n + 44. Suppose -484 = -26*r + n*r. Suppose -6 = -5*b + 2*b. What is the lowest common multiple of b and r?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 425 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-3) + 8\/6. Let a(s) = s**3 + 2*s**2 + 5 - x*s**2 + s**2. What is the units digit of a(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 6*l**2 - 1. Let u(s) = -s**3 - 79*s**2 + 613*s - 518. Let v(a) = 3*n(a) - u(a). Suppose v(k) = 0. Calculate k.\nAnswer: -103, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27204158909 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and -209.\nAnswer: 62.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*m + 28 + 0*m + 2*m.\nAnswer: -2*m + 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1236 divided by -34.\nAnswer: 618\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -65697, -131544, -197539, -263682, -329973?\n\"Answer: -74*u**2 - 65625*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yas when three letters picked without replacement from avmymamymsyvyt.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1232\/1386 - (-74)\/18.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -19d2aa - -1c?\nAnswer: -19d28c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10804*l - 10583*l + 4199 for l.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z = a - 80, -380*z + 389*z + 143 = 2*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-87 - 74 + 125)*(5*i + 5*i - 3*i).\nAnswer: -252*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 n when two letters picked without replacement from {f: 4, i: 2, l: 2, n: 2, k: 3}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 27 = -c, 0*k + 16 = 4*k. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of -f**6\/240 - 5*f**5\/24 + 5*f**4\/12 + 26*f. Let b(c) be the third derivative of w(c). List the prime factors of b(-12).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 91.03 + -96.03. Put g, 527\/4, 2\/3, 3 in increasing order.\nAnswer: g, 2\/3, 3, 527\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -43877614359 and 0.3.\nAnswer: -43877614358.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 8, 8\/51, -9 in decreasing order.\nAnswer: 8, 8\/51, -6, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*d**3 - 33*d**3 + 36*d**3)*(1 - 3 + 3) + 5066*d - 5066*d + 360*d**3.\nAnswer: 348*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6324129 and 1029.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 79 divide 100?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = 18*w - 296. Suppose 4807 = 4*f + w*f. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*a - 47560 = 1115*a for a.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 + 1. Let q(n) = 8*n**2 + 8. Give -q(c) + 6*w(c).\nAnswer: -2*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, 4425 in descending order.\nAnswer: 4425, 5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1\/(-2))\/(1\/4). Suppose 0*t - 5*t + 5*f - 25 = 0, 0 = -4*t + 3*f - 15. Let v = w - t. Is -2 equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/12501578 and 121\/1990.\nAnswer: 62507890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes before 12:06 AM?\nAnswer: 5:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -89637, -358560, -806755, -1434216, -2240937?\nAnswer: -3226912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2453244?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.376892ml in litres?\nAnswer: 0.001376892","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2, -2, -7 in descending order.\nAnswer: 2, 0, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 337627746?\nAnswer: 2, 3, 18757097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -3 - 4. Let c be ((-2)\/(-3))\/(h\/(-3)). Let f be (-600)\/(-102)*1 - 6. What is the nearest to 1\/5 in -5, f, c?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0312*-927\nAnswer: -28.9224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1311203330 (base 4) to base 15\nAnswer: -97a22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 - 14 = 4*z. Suppose -3*t = -5 - z. Suppose 3 + t = 4*g. What is the second smallest value in -4\/9, -3\/5, g?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2140821049 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 2*u**2 - 1215*u - 8619. What is o(-7)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 10 + 9*a - 2*a**2 - 5*a**3 + 10*a**3 - 4*a**3. Is r(5) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5151740?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-1*(sqrt(243) - (sqrt(243) - sqrt(243)*-5))**2 - ((sqrt(243) - (sqrt(243) + 3)) + 3)**2)*6.\nAnswer: 109350","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that f**3\/7 - 1395*f**2 - 14361177*f\/7 - 4937823011\/7 = 0.\nAnswer: -667, 11099","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4*(-762)\/48*2)\/((-121)\/(-121))?\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 1.3 and 359.962.\nAnswer: 361.262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 + 14. Suppose -i + 3*n = 3, 3*n - n + 8 = 4*i. Suppose i*p - 24 = 42. Calculate the highest common divisor of p and b.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1202 and 138559.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 92452654 to the nearest integer?\nAnswer: 452","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 70, 135, 192, 241, 282?\nAnswer: 315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the second derivative of 0*u**6 + 5\/6*u**3 + 1 + 0*u**2 + 0*u**4 + 27*u - 1\/2*u**5 + 5\/42*u**7. Factor y(t).\nAnswer: 5*t*(t - 1)**2*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11220 = -4*r - 2*r. Suppose 4*t + k = -2*k + r, -471 = -t + k. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(170)*2)\/(sqrt(100)\/(sqrt(30)\/sqrt(3))))**2.\nAnswer: 612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(240)*-2*4)\/(-2*sqrt(1210)))\/(sqrt(300)*-1*-3*6))**2.\nAnswer: 8\/245025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -220*i**3 + 2*i**2 + 105*i**3 + 113*i**3 + 2 - 8*i as a*i + s + w*i**3 + g*i**2 and give a.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33370?\nAnswer: 2, 5, 47, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -81912*0.33\nAnswer: -27030.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 50772 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -974*a + 19194 + 3449 = -733. Let d(h) = -23*h**3 + 2*h**2 - 1. Calculate the smallest common multiple of a and d(-1).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-5 + -4 - -2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t**2\/5 + 318*t\/5 - 8427\/5 = 0.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -787498*f - 4*f**2 + 787338*f + 3*f**2.\nAnswer: -f**2 - 160*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.9 <= 2\/27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3116, -6048, -8980?\nAnswer: -11912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 154 - 159. Which is the nearest to 1? (a) -4 (b) d (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -526.\nAnswer: 1\/526","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4084 - 7068930082.\nAnswer: -7068925998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-19) + 5175\/475. Solve 0 = -2*n - 5*j + q, 2*n + 17 = -2*n + 3*j for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-5)\/(o*o**3\/o))\/(o**(-1\/7)\/o**5)*(o**(-2\/5)*(o*o**2\/o*o)\/o*o)\/((o\/o**4*o)\/(o\/(o\/(o\/o**(-2))))) assuming o is positive.\nAnswer: o**(166\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:09 PM and 6:21 AM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 33*z**2 + 2. Let o(s) = 3428*s**2 + 13726. Let t(c) = 18*h(c) + o(c). Find the first derivative of t(y) wrt y.\nAnswer: 8044*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*m**3 + 1086*m**2 - 30876*m - 115320.\nAnswer: -3*(m - 62)**2*(3*m + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - 4*l + 11, -7 = -3*q - 5*l + 5. Let r be (q\/4)\/((-5)\/(-4)). Which is the third smallest value? (a) -1 (b) r (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -74777, -74825, -74873, -74921, -74969?\nAnswer: -75017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**2 + 3*l + 7. Let o be b(4). What is the first derivative of -5 - 5 + 0 + 9*v**o - 10 wrt v?\nAnswer: 27*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 129348 divided by 6390.\nAnswer: 7186\/355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**0)\/y*y**(1\/28)*y**46*y**46\/y*y)**(-1\/19) assuming y is positive.\nAnswer: y**(-2577\/532)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10303242 + -4?\nAnswer: -10303301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -p - 1 + 5 + 74*p**2 - 4.\nAnswer: 74*p**2 - p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 55 and 4097764.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 75600516?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let j = -885 + 885.649. Let k = -0.351 - j. Let w(f) = f**2. Let t be w(-2). Which is the closest to 15? (a) t (b) k (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -70\/13*x**3 - 8\/13*x - 22\/13*x**4 - 56\/13*x**2 + 0 = 0.\nAnswer: -2, -1, -2\/11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1972 and 1972 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 + 5.9. Let x = -5\/5247 - -10609\/120681. What is the closest to -2 in 1, -0.5, x, p?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72155713 is divided by 26?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 + 2*s**2 + 6*s + 3. Let t be m(-2). Suppose t*p + 2 = 184. Suppose -21*x + p*x - 245 = 0. Calculate the remainder when x is divided by 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {s: 4, a: 3}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.054 + -1.346. Let q = 1.1 + g. What is the second smallest value in -4, 4, q, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 2*w = 0, -4*o + 20 = 3*w. Calculate the least common multiple of o and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 490824?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(-2)\/22 + 42\/231.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s\/(s**(1\/22)\/s)))\/s)**(-36)*s*(s\/(s**41\/s))\/s*s\/(s\/s**26) assuming s is positive.\nAnswer: s**(631\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (27 + -26)*6\/(-21)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(306)\/sqrt(9) + sqrt(34))*-1)\/sqrt(2))**2.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7669 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(-175))\/(-9 + 1122\/119).\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 34 and -15052223.\nAnswer: -511775582","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jwjz when four letters picked without replacement from jwwjjjjjwzwjjwwjwwjw?\nAnswer: 9\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is ba + -51?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2 - -14) + -15)*-2*1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the third derivative of -v**4\/8 - v**2. Let r(z) = z + 4. Let y(b) = b + 5. Let s(q) = -5*r(q) + 4*y(q). What is a(s(o))?\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -11412*i**3 - 11400*i**3 + 2*i**2 + 260 + 22815*i**3 in the form d*i + u + g*i**2 + y*i**3 and give u.\nAnswer: 260","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 252914, 252946, 252980, 253016, 253054, 253094, 253136?\nAnswer: 253180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 29567798?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 2*u + 21. Determine q(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000227 to 7 decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 6*x = -3*x + 57, 5*x = 5. Suppose -w = -1 - 1. Let h be (-245)\/(-77) + w\/(-11). Solve -2*y - i = h*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) -1\/10 (c) 13182 (d) 2\/3 (e) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.72 (b) -88\/5 (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 - 2)*(-14 - 22 + 5398*y + 11435*y + 54 - 18).\nAnswer: -50499*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 81*i**3 - 3*i**2 + 1. Let t be s(1). Let k = t - 80. Let y = -18 + 13. Which is the nearest to -1? (a) -2\/5 (b) y (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 27 = -3*q - 18, b = 2*q - 4 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + 2. Let v(x) = x**3 - x**2 + 5*x - 2. Let b be v(1). Suppose -2*h = 3*k - 239, b*h - 107 = 2*h - j*k. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/40)\/((-8928)\/(-3456))\nAnswer: -3\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:06 PM and 5:02 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 725\/(-1740)*(-18)\/5.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 411 + -410.642. Round o to 2 dps.\nAnswer: 0.36","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z**2 - 14615*z + 30794286 = 0 for z.\nAnswer: 2553, 12062","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -251, -484, -691, -872?\n\"Answer: 13*i**2 - 272*i + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -2*x. Let g = 22 + -24. Let h be o(g). Solve 5 = -z - h*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 50*x**2 - 203 + 206*x**2 - x**3 + 204 + 0*x**3 in the form c*x + v + t*x**3 + o*x**2 and give o.\nAnswer: 256","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -120622 (base 8) in base 7?\nAnswer: -231406","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2114)\/175 + 8\/100. Let l be 2\/(-7) - (600\/(-42) - a). Solve 3 = l*z + 1 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and 101902.\nAnswer: 917118","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**2 + 5*z - 13. Calculate c(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 9) to base 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 138 (base 12) to base 14\nAnswer: d6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*k - 49*k = 336. What is the smallest common multiple of (-6)\/k + (921\/7 - 4) and 20?\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -1. Suppose -5*t - 2 + 22 = 0, 5*t - 44 = -4*b. Let g be (4\/(-12))\/((-11)\/b). Which is greater: g or m?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 662700 and 331350?\nAnswer: 662700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 201274337*-0.5\nAnswer: -100637168.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -16206219*z. Let p(a) = a. What is q(p(r))?\nAnswer: -16206219*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*h**3 - 4*h**3 + 4*h + 2*h**3)*(1 + 2*h**2 - 3 + 0*h**2).\nAnswer: 4*h**5 + 4*h**3 - 8*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 108 less than 110?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 5*b**2 - 707*b + 1693. Determine p(139).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1589 - 1587. What is the closest to -3 in -5, 0.9, l, -0.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -51, -298, -773, -1530, -2623?\n\"Answer: -9*w**3 - 60*w**2 - 4*w + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -453\/2 - -4135\/18. Let v be ((-5)\/((-150)\/(-52)))\/((-10164)\/(-149545)). Let j = 2\/693 + v. What is the common denominator of x and j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 192*i**3 + 18*i**2 - 224*i**3 + 20*i**2 - 28*i**2 - 10*i**2.\nAnswer: -32*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*q + 108 = -13*q. What is the remainder when q is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jzq when three letters picked without replacement from zjejzajajaqeja.\nAnswer: 5\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 11 = -15. Let c = 2 - 30. Let k = l - c. What is the remainder when 73 is divided by k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 66 and 14399?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 - 1. Solve -3*i - 19 = -2*a + h*a, -a + 10 = -5*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-2\/15)\/(m*(m**(12\/5)\/m)\/m) assuming m is positive.\nAnswer: m**(-23\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 97 and 847101.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12303?\nAnswer: 3, 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 + 13*s - 35. Suppose -5*r - 12 = -r, 4*h + 2*r = -70. Let u be x(h). Calculate the highest common factor of u and 143.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, e: 8}. What is prob of sequence ue?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or -4061\/1664?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 12007 (base 8) to base 10\nAnswer: 5127","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3385?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76)*1*5 + 3*sqrt(76)*-4)\/(sqrt(400) - ((sqrt(400) - -1*sqrt(400))*4 + sqrt(400)) - -3*sqrt(400)*2).\nAnswer: 7*sqrt(19)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -319 = -3*a - n + 268, 796 = 4*a + 4*n. Is 1355\/7 greater than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001000100111 - 0?\nAnswer: -1001000100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -455\/1748 + 9\/874. Let v = -3 + 1. What is the closest to 2\/7 in y, 2\/13, v?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 8 - (85 - 76) - 1.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 606327 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 213, 1\/4, -2\/7, -5\/7 in decreasing order.\nAnswer: 213, 1\/4, -2\/7, -5\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.70707 and 4790.14.\nAnswer: 4789.43293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*a**3 - 21*a**3 + 25*a**3.\nAnswer: 9*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 235.42614 minutes to days.\nAnswer: 0.163490375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 2*n)*(5*n**4 - 3*n**4 - n**4) + (-13 + 4 + 13)*(-2*n**5 + 4*n**3 - 4*n**3) + 0*n**5 - 4*n**5 + 5*n**5.\nAnswer: -9*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -151 + 142. Let c be (1\/((-15)\/20))\/((-2)\/6). Let o(r) = -24*r - 3. Let s(q) = -48*q - 6. Let i(v) = c*s(v) + z*o(v). Differentiate i(b) wrt b.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.1 (b) -5 (c) -1\/3 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/23 and 8\/45.\nAnswer: 1035","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 3*l - 8. Let d = 0 + l. Let t(n) = 51*n**2 - 2*n - 1. Is t(d) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 2*n = -74, -5*n = -a - 4*n + 20. Calculate the remainder when a is divided by (10\/(-3))\/((-2)\/6).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3900 - -3899.5. Which is the nearest to -2\/3? (a) p (b) 4 (c) 2 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/8655960 and -61\/72.\nAnswer: 25967880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*5*(1 + (sqrt(6)\/sqrt(2) + sqrt(3))**2*-2 - ((sqrt(42)\/sqrt(2))\/sqrt(7) + (sqrt(21) - sqrt(189))\/sqrt(7))**2).\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -310*j - 239*j - 7955 + 4075*j**2 + 549*j wrt j.\nAnswer: 8150*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-6)\/(-7))\/((-2)\/(-7)). Suppose -34 = 4*n - 86. Suppose -2*d = -n + x. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) 1 (b) -1272 (c) 13 (d) 2\/5 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide -4 + 4 + 3 + -1 + 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4366513 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -4 + 10 + (-1)\/2*-2. Suppose -a*i + 11*i - 40 = 0. Solve 8*f - i*f + 4 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**2 - 12*i + 2. Suppose 48 = -9*g + 5*g. Let x be a(g). Is 13 a factor of -27*(x + (-3 - 2))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**3 - 5*u**2 - 6. Let s = 30 + 9. Let x = 34 - s. What is d(x)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 11 and -0.01.\nAnswer: 10.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 11\/(165\/10)*39. Let j = 38 - g. Calculate the remainder when 47 is divided by j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of t**3 - 63519*t**2 - 170*t + 27 wrt t?\nAnswer: 6*t - 127038","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u + 48. What is p(9)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*a**6 + 7*a**5 + 607*a**2 wrt a.\nAnswer: -240*a**3 + 420*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1975 (b) -8 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 53327*z**4 - 106658*z**4 + 331 + 53335*z**4 + (z**4 + z**4 + 0*z**4)*(2 - 6 + 3).\nAnswer: 2*z**4 + 331","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.3 + 0.7. What is the third smallest value in -0.2, b, 2\/17?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j. Let y(h) be the first derivative of 7*h**2\/2 + h - 1698. Give -4*t(b) + 2*y(b).\nAnswer: 10*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -28575 divided by -127\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -243*w**4 - 282*w wrt w.\nAnswer: -2916*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-19)\/(3*(12\/(-9))\/(-4)). Let w = t - -106. List the prime factors of w.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h*h**(-5))*h)\/h)**(6\/11) assuming h is positive.\nAnswer: h**(30\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-339)\/1695 - (12\/40 + 0). Let j = 170873 + -6492277\/38. Let z = j + -47\/2. What is the smallest value in z, x, 1, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-12)\/(-63))\/(-1))\/(2\/(-3))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1022617.\nAnswer: 307, 3331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11.71 or 16\/15?\nAnswer: 16\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -180281, -180279, -180279, -180281?\nAnswer: -180285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - n - 388, -3*n + 208 = -7*d + 8*d. Let u = 210 - d. What is the remainder when 235 is divided by u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b**3 + 6*b**3 - 2*b**3)*(2 + 8*b - 7*b - 1).\nAnswer: b**4 + b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 145 is divided by 14?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1139844?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 6*g - 5 + g**2 + 3*g - 4*g. Suppose 2*b = 0, -11*m + 9*m = -4*b - 10. Suppose -4*n + m*y + 1 - 6 = 0, 0 = 5*n - 5*y + 10. Determine s(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -24*n + 2693. Determine j(112).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.2 (b) -48 (c) 0.3 (d) -2 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3561823686?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 610276.\nAnswer: 2, 29, 5261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 5 - 3)*(0 + 2*m + 0) + (4*m + 16 - 16)*((5 - 2 - 6)*(-2 - 3 + 6) + 2 - 6 + 2).\nAnswer: -18*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 39 - 23. Suppose -5*v = -2*z - 20, -12 = 4*z - 4*v + p. Put z, -3, 0 in descending order.\nAnswer: 0, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**2 + 47*f - 171. Calculate o(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -34430 - 214?\nAnswer: -40144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 1 - 3, -r - 22 = -4*x. Let v(h) = -6*h**2 - x*h - 18*h**3 - 1 + 8*h**2 + 21*h**3 + 4*h. Give v(-2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 377?\nAnswer: 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5533990691.\nAnswer: 421, 3361, 3911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1588 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5)\/(((-15)\/(-6))\/(-5)). Suppose 5*m = -0*m + a, 3*l = 5*m + 917. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1286.\nAnswer: 2, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54646.\nAnswer: 2, 89, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -152, -909, -1666, -2423, -3180, -3937?\nAnswer: -4694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 32 + 3*g - 33 - 2*g. Let b(u) = u. Let q = 11 - 7. Let a(j) = q*b(j) - 3*w(j). Differentiate a(m) with respect to m.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97*l + 96*l = -6. Suppose 2*o + l*k - 7*k = 4, -5*k - 20 = -4*o. Suppose o = 5*v + 5*v - 530. What are the prime factors of v?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -3 - 5 - 3*p - 2*p - p. Let a be q(-3). Find the second derivative of -10*d**2 + 4*d - d**2 + 11*d**2 - a*d**3 wrt d.\nAnswer: -60*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 239500232?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 z, and 1 j when three letters picked without replacement from {f: 2, z: 1, j: 4}.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cfydi. Give prob of picking 1 d and 1 i.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 4*l + 11 - 115 = 0, 3*x - l = 89 for x.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 953 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4\/(-10) + 42\/5 and 2*(-18)\/36 + 9\/3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.06 and -47.\nAnswer: 2.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -0*t - 3*t + 10, -t - 2*y = -10. Sort 1\/5, -0.12, t in decreasing order.\nAnswer: 1\/5, t, -0.12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3855182899 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 7 + 7 + -28 - (-2 + -4)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*(a*a**(2\/7))\/a)\/a)**22\/(a**(-2)\/((((a\/a**(-2\/17))\/a)\/a*a)\/a)))**(-2\/13) assuming a is positive.\nAnswer: a**(-1762\/1547)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2266*r**2 - 1289659*r + 1289659*r)*(0*r + 0*r - 2*r**3).\nAnswer: -4532*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 39 and 208.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 - 4*h**2 + 11*h - 9. Let o be q(6). Let k = 17 + o. What is the lowest common multiple of 16 and k?\nAnswer: 1168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14*-43283.6\nAnswer: 605970.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*y + 0*y - 2*y**2)*(0*y**2 + 2*y**2 + 0*y**2) + (0*y + y + 0*y)*(5*y**3 + 6*y**3 - 4*y**3) to x*y**4 + p + c*y**2 + a*y**3 + m*y and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -465*i**2*q**5 + 7*i**2 + 871*i*q**3 + 8059*i*q**2 - 2*i wrt q.\nAnswer: -27900*i**2*q**2 + 5226*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide (-3143)\/(-35) + (-6)\/15*2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -35*n**3 + 0*n**2 + 85*n**3 + n - 37*n**3 - 27*n**3 - n**2 to p*n**2 + k*n**3 + u + o*n and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(4\/120*1). Let s be (216\/p)\/((-3)\/(-20)). Suppose 3*g + s - 15 = 0. Is -11 less than or equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -13 - (-153 - -147)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 39437 to the nearest integer?\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3320033100132 - 1?\nAnswer: -3320033100133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/3*4\/(-4). Let k = 3 + -5. Sort -1, k, o in descending order.\nAnswer: o, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 + 6*g**2 + 6*g + 7. Let r be 3 + -2 + 5 + 1. Let q be f(r). Let c = -1370\/9 + 152. Which is smaller: q or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-225)\/(-30)*(-36)\/(-30)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 7) in base 3?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*z - 18 - 13 - 16 + 47.\nAnswer: 7*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 9) to base 4\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eephhwzepezw. What is prob of sequence zw?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 - -9)*6\/10. Let c be ((-1)\/l)\/(8\/(-48)). Put 2, c, 5 in increasing order.\nAnswer: c, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 116100 = 2*q, 111*q - 290180 = -5*z + 106*q. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p + 12. Let f be h(0). Suppose -2*n + 6 = 3*n - 2*s, 0 = 2*n - 4*s - f. Solve 3*r = 3*w, n = -w + 6*w - 10 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 + 6*m**2 + 6*m + 6. Let r be s(-5). Differentiate -f**3 + r - 2*f**3 + 1 + 0 wrt f.\nAnswer: -9*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 4*u = -654, 5*u + 16 = u. Let s = 232 - r. What are the prime factors of s?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.04, 0.2, 1\/4, 86?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*l + 28 - 12*l + 5*l + (3 + 1 - 6)*(-3*l + 4 - 4).\nAnswer: 5*l + 28","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 25?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1414\/12)\/(-1))\/(-12*308\/1056)?\nAnswer: 101\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 22242, -3\/11, 0.08?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, -1\/3, 36, 11?\nAnswer: 36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11779109 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7744935?\nAnswer: 3, 5, 11, 73, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -6*g**3 - 7*g**2 - 4*g - 4. Let n(v) = v**3 - v**2 - v - 1. Let k = -67 - -66. Let q(m) = k*s(m) + 4*n(m). Find the third derivative of q(o) wrt o.\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.3 and -0.042398641?\nAnswer: 0.257601359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 36 = 5*v. Let c be (3 + -3 - 1) + 5. Let z = c - v. Solve -20 = -z*x - 5*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -20 + 28. Let x be (-33)\/7 - z\/28. Let d(i) = -2*i + 7. What is the units digit of d(x)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 5*i + 1. Calculate the remainder when 366\/(-488)*44\/(-3) is divided by o(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 144 and 1334358.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*(j\/(j**(3\/28)*j)*j)\/j*j**(-6) assuming j is positive.\nAnswer: j**(-143\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -512911 at most -512926?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 942 and 36.\nAnswer: 5652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1054 and 124?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 73499 a multiple of 99?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(120\/5))\/((357\/(-12))\/(-17))?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 22\/(-2)*(-3 - -2). Suppose 3 - f = -a. What is the remainder when 23 is divided by a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, g: 2, d: 1, o: 4}. What is prob of sequence zd?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1164356341 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*r**2 + r**2 + 2*r**2 + 85*r**2 + 87*r**2 - 168*r**2 + (-3*r**2 - r**2 + 2*r**2)*(-5 + 3 + 1).\nAnswer: 5*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 955560 = 158*v - 143*v. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, 0.1, 436, -2928, 3?\nAnswer: -2928","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 + 1. Suppose -3*x = x - 5*h + 21, -x - 5*h + 26 = 0. Let s(t) = 14*t**3 - 3*t**2 + 7*t - 9. Let n(v) = x*l(v) + s(v). Is n(3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 3*l + 14 = -5*l, 5*l + 21 = 3*v. Let y(o) = 4*o - 3*o**2 - 10*o + 4 + v*o**2. Does 12 divide y(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 610 and 2920.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k**2 + 603896*k - 22793148676 = 0. Calculate k.\nAnswer: 75487","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2683)\/(-4) + ((-35)\/(-20))\/7. Calculate the greatest common divisor of 183 and u.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100011112112112021 - 0?\nAnswer: -100011112112112021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 divided by 7?\nAnswer: 24\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lz when two letters picked without replacement from jkqzmlqk?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the second derivative of -u**4\/12 + 3*u**3\/2 + 13*u**2\/2 + 3*u. Let x be q(10). Suppose x*p = p + 18. Is p a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaadayxaaaaxaaydxdyw. What is prob of sequence dxdx?\nAnswer: 1\/3230","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -15*q**2 - 7*q + 11. Let o(l) = -7*l**2 - 3*l + 5. Give 4*b(s) - 9*o(s).\nAnswer: 3*s**2 - s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (-1 - 1) + -38 + 39?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*4 + 9 + -11. Let q be 1 + (p - (0 + -1)). Solve 4*j + 23 = -3*k, 5*j + 8 + 13 = q*k for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y*y*y**(11\/6))*y)\/y*y\/y**23*(y**(-9\/7)*y*y*y*y)\/y*y*y*y*y\/(y\/(y\/(y*y**(2\/79)))*y))**1 assuming y is positive.\nAnswer: y**(-70157\/3318)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(3\/16))\/h)**32 assuming h is positive.\nAnswer: h**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 718 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -20*h + 8. Let f be r(-21). Let s be (7\/(14\/(-200)))\/(4\/f). Round s to the nearest 1000.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-4)\/(-6))\/(38\/57). Let s = 8 + w. Solve 0 = 3*v - 2*o - o - s, 4*o = -3*v + 23 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -26*d**3 - d**2 - d - 1. Let g(y) = -32*y**3 - y**2 - 1. Let x(w) = -5*g(w) + 6*j(w). Let p(n) = -3*n**3 + n**2 + 5*n + 1. What is -6*p(k) - 5*x(k)?\nAnswer: -2*k**3 - k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does -20\/1520149 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.09148 and -0.48.\nAnswer: -0.5239104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 - 2*o**2 + 7*o + 4. Let s be n(-3). Let x be ((-28)\/s + -3)*22. Solve j + x = v + 6*j, 3*j = -3*v + 9 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the third derivative of -h**6\/360 - h**5\/30 - h**3\/2 - 3*h**2. Let j(n) be the first derivative of w(n). Find the second derivative of j(g) wrt g.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -80279, -80274, -80269?\n\"Answer: 5*m - 80284","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.3 + -1.7. What is the nearest to n in -1\/6, 3, 0?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - 6. Let o = 36 - 33.9. Let x = o + c. Sort 2\/13, x, 0.4.\nAnswer: x, 2\/13, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30 (base 6) to base 10.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 AM and 12:58 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -3588.3 rounded to the nearest one hundred?\nAnswer: -3600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 - i**2 - 1. Let l be d(0). Put 5, -4, l in ascending order.\nAnswer: -4, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r\/r**(-1\/3)))**(-3\/14)\/(r\/(r**(-2)*r*r*r)*r**(-2\/19)))\/((r**12\/r)\/(r*r\/(r\/r**(-10))*r))**(-47) assuming r is positive.\nAnswer: r**(237585\/266)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 16696*(-3 + 5)*22\/(-11). Let h = w - 7216. Round h to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 4, o: 2, z: 6, k: 4, i: 1}. Give prob of picking 1 q and 1 i.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1\/3, -3, 1\/9, 2\/5?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 34*y - 2*y**2 - 29*y + 273 - 73*y + 31.\nAnswer: -2*(y - 4)*(y + 38)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r - 12*b + 188 = 0, -4*r + 4*b = 353 - 313 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 59 = i - 2, 5*i - 50 = -3*q. What is the remainder when 32 is divided by q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -44 - -30.5. Let f = -13 - z. What is the nearest to 0 in -1, f, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -78 + 136. Let x be 16\/(-72) + r\/18. Solve -9 = -x*q, -2*q - 2 = -3*i - i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -195?\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2608.\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5828947?\nAnswer: 5828947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1172, 1160, 1158, 1172, 1208, 1272, 1370, 1508?\nAnswer: 1692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 - 7*v**2 - 7*v + 2. What is q(-7)?\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -808*-0.3.\nAnswer: 242.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.95 - -3.95. Let x(t) be the third derivative of -t**5\/60 + t**4\/4 + 2*t**3\/3 - 4*t**2. Let i be x(6). What is the second biggest value in i, -2\/3, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*h - 10 = -21*h. Let s(u) = -u**3 - 5*u**2 - 5*u - 16. Let a be s(h). Solve 3*w = -4*d + 4, 1 - a = -2*w for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5)\/(600\/16) + (-52)\/150. Which is smaller: i or 0.06?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*o + 86 - 8*o + 37*o - 17*o in the form d*o + b and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -2*r**2\/13 - 726*r\/13 - 724\/13 = 0?\nAnswer: -362, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**4 - 3632*t**3 + 40436*t**2.\nAnswer: -4*t**2*(t - 11)*(t + 919)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 411 or 483?\nAnswer: 483","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 20\/17, 1, 197, -0.2?\nAnswer: 197","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 - 4) + -8 + 0 + (1 - (-9 + 11)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the second derivative of -3*d**5\/5 + 74*d**4\/3 - 248*d**3 + 432*d**2 - 15*d - 2. Factor t(c).\nAnswer: -4*(c - 18)*(c - 6)*(3*c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -2*z**3 + 2*z**2 + 4*z + 2. Let y be k(-2). Suppose 2*g = -10 + y. Suppose g*w + 88 = 8*w. Calculate the lowest common multiple of w and 14.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 - 8*d**2 - 9*d + 3. Let l be k(-7). Let x = 14 - l. Let u = x - -10. Calculate the remainder when 18 is divided by u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 15) in base 12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 4041, 15989, 35889, 63729, 99497, 143181, 194769?\n\"Answer: -2*u**3 + 3988*u**2 - 2*u + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47703964 divided by -154.\nAnswer: -309766","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13958905\/153 - -91235. Find the common denominator of 70\/2193 and a.\nAnswer: 6579","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -4*m**3\/9 - 899260*m**2\/3 + 4*m\/9 + 899260\/3 = 0.\nAnswer: -674445, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1100 and 1540?\nAnswer: 7700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1041487.\nAnswer: 613, 1699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 14150090693 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*y - 42*y = -34600000. Round y to the nearest one million.\nAnswer: 35000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.86 - -1.1. Let g = u + 0.16. Which is the closest to 0.1? (a) g (b) 5 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -268*z**2 + 651*z**2 + 642*z**2 + 11.\nAnswer: 1025*z**2 + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2628 divided by -219.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*j - 81*j - 464170 = 0. Let h = 68555 + j. Round h to the nearest 1000.\nAnswer: 35000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 10747, 21492, 32241, 42994, 53751, 64512?\n\"Answer: 2*w**2 + 10739*w + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -571, -2415, -5489, -9793, -15327, -22091, -30085?\nAnswer: -39309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(3564))*-2 + -1*sqrt(176) + sqrt(176) + sqrt(88)\/sqrt(2) + -2)*1.\nAnswer: -34*sqrt(11) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 168446 to the power of 1\/5, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 210569783*o**5 - 3295*o**2 - 6244?\nAnswer: 12634186980*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 36 and 6282.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r = q - 23, -r + 4*q = -q + 11 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*p + 47990 = -23991. Does 7 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 14\/(-63) + (-4)\/(-18). Suppose 0*j + 5*j + 10 = w. What is the lowest common multiple of 146\/8 + j\/8 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12100100 (base 3) to base 5.\nAnswer: -111042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 592690288 + -592690257.9999917. Let d = i - 30. What is d rounded to 6 dps?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 356859502 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 9526?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 362 = -26*o - 366 for o.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = 4*u, 60*b - 2*u = 61*b + 8 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3322.\nAnswer: 2, 11, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = s - 5*d, 5*s - 155 - 87 = -4*d. Suppose 5*o - 1 - 18 = w, -5*w = 4*o - s. Suppose 9*h = 10*h - 14. Calculate the least common multiple of h and w.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 84 and 812?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000004156 rounded to seven dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 6*s**3 + s**2 - 3*s + 1. Suppose 15 = z + 4*z, -4*q + z = -13. Let m(w) = w**3 - 4*w**2 + 2*w - 5. Let r be m(q). Is l(r) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 20067, 38415, 56711, 74955, 93147?\n\"Answer: -26*d**2 + 18426*d + 1667","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2894509, -5788878, -8683247, -11577616?\nAnswer: -14471985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 5*t - 2*g + 42, -g + 5 = 0. Let l = 10 + -5. What are the prime factors of 29 + 2\/(l + t)*-1?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**11*w)\/(w\/(w\/w**(-3\/10))*w*w)*w*(w\/w**(3\/7))\/w*w**0 assuming w is positive.\nAnswer: w**(-709\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 93*x - 328. Let d be t(4). Calculate the greatest common divisor of 20812 and d.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = 5*x + 51 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (5\/(-3) - -2)\/((-1)\/3). Sort 5, y, 0, 1 in ascending order.\nAnswer: y, 0, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9.3 + 9. Let x = -0.7 + o. Let a = x - 1. Sort -1\/11, a, 3.\nAnswer: a, -1\/11, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3469872 = 3469865?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is 8 + (9 - (-9 - -8)) + 1 + -12 + 0?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -2*u + 21. Suppose 0 = 3*h - u*h + 20. What is the remainder when 17 is divided by h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-47 - -50 - -4) + (-1 + 8 - -1).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -381 + 64085646806\nAnswer: 64085646425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 + 4*s**2 - 5. Let g be n(4). Let y = 17 - -22. Let a be 24\/9 + y\/(-13). What is the closest to -0.1 in g, a, 4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11515980 divided by -5?\nAnswer: -2303196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7535970192 by 6.\nAnswer: 1255995032","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*h + g, -5*g - 8 = -2*h - 4*g. Suppose 0 = -4*x - 12, 3*x + 11 - 2 = h*c. Solve c = 3*m - m - 6 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1597*p**5 + 9*p**2 + 1886*p wrt p?\nAnswer: -31940*p**3 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 m, and 1 u when three letters picked without replacement from ttbttmttumttmmtttmtt?\nAnswer: 13\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**4 - 7851*q**3 + 186696*q**2.\nAnswer: 3*q**2*(q - 2593)*(q - 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1629966 * -175.\nAnswer: -28.524405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*d + 0 - 604*d + 0 in the form r*d + k and give r.\nAnswer: -594","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 209 a factor of 17192293?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1443 + 3044. What are the prime factors of h?\nAnswer: 7, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 208, 795, 1774, 3145, 4908, 7063, 9610?\n\"Answer: 196*j**2 - j + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*b**5 - 13*b**4 - 2*b**3 + 12*b**2 + b + 43.\nAnswer: 540*b**2 - 312*b - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 855367 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 11382, 21238, 31082, 40908, 50710, 60482, 70218, 79912?\n\"Answer: -s**3 + 9863*s + 1520","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 14) in base 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(572)*1)\/sqrt(11) - -4*(sqrt(325) + (sqrt(325) - (sqrt(325)*2 + 0)))) + -5.\nAnswer: -9 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 336 divided by -6.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -34218, -34075, -33910, -33711, -33466, -33163?\n\"Answer: 2*p**3 - p**2 + 132*p - 34351","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 12 - 9\/5*x**2 - 84\/5*x = 0.\nAnswer: -10, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 23 = -4*o + 4*n, -3*o - n - 16 = 0. Let a = o - -11. Suppose 35 = -2*y + 5*y + 2*v, -a = -4*v. What are the prime factors of y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 3 - 5)*(2*b + b - 2*b) - b + 2*b - 8*b + (-4 + 0 + 3)*(0*b - 3*b + 2*b) as m + z*b and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 215 divided by 43\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4704475?\nAnswer: 5, 188179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2997964 a multiple of 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1259 and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 a when two letters picked without replacement from {a: 1, m: 1, q: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 10:56 PM?\nAnswer: 10:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 3*c - 1. Let s be 1 + 1*0\/(-2). Let t be i(s). Let d be 9 + (84 + 12)\/(-12). Solve 0 = f - d - t for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((74\/(-56))\/(-1))\/(1265\/(-440)*(-34)\/(-391))?\nAnswer: -37\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 1 + -9 + -8 + 15.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 31 = 4*v, -2*v - 3*s + 57 = v. Solve w + 12 = v for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/781 and 62\/213?\nAnswer: 2343","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*k**2 - 4*k**2 + k - k + 4*k**3 as s*k + y*k**3 + b + r*k**2 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*b = 37 + 17 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.045, 0.2, -0.2, 5, 2\/9 in decreasing order.\nAnswer: 5, 2\/9, 0.2, -0.045, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 1334688?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 231\/7 - (1800\/(-30))\/12.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21511661 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*l**5 - 3485*l**4 + 6950*l**3 + 10*l**2 - 6955*l + 3475.\nAnswer: 5*(l - 695)*(l - 1)**3*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k**3 - 10*k**2 + 14*k - 6 = 0. What is k?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -5*n - 6, 0 = 5*n - 2*n - 4*z + 14. Let a be 3\/n - 1\/2. Let k be 625\/a*34*3840. What is k rounded to the nearest 1000000?\nAnswer: -41000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 228055015*c**5 - 233697856*c wrt c.\nAnswer: 4561100300*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 505 by 399.\nAnswer: 505\/399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 11594674891 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8992515?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5376276us to nanoseconds.\nAnswer: 537.6276","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 692, 1428, 2198, 2996, 3816, 4652?\nAnswer: 5498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1788?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-28)\/(-126) - (-212)\/18. Let q be (-1 + 26)*g\/15. Solve 0*i + 4*i + q = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 9*r**2 + 5. Let w(n) = n**2 + 1. Let f(a) = -4*d(a) + 20*w(a). Let l(h) be the first derivative of -8*h**3\/3 - 36795. Give l(f(z)).\nAnswer: -2048*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2817*y + 377 wrt y?\nAnswer: 2817","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -13*y - 1. Let w(u) = 3*u - 7. Let v(n) = 5*n - 13. Let p(k) = -6*v(k) + 11*w(k). Let h be p(1). Let r be (-1)\/(h - 3 - 0). Calculate m(r).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3612265*t**3 - 828693*t wrt t?\nAnswer: 21673590*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 - 48 + 921*w - 923*w.\nAnswer: -2*w - 62","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 0.5, 0.15, -4, 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s = -3*o + 2, 20*s - 24*s + 2*o = 8 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of 3*p**2 + 0*p**3 + 110 - 3*p**3 + 35 - 5*p**3 + 10*p - 5*p. What is the second derivative of y(j) wrt j?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 532, 3, 58 in descending order.\nAnswer: 532, 58, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1004681 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 2*p**3 - 1 - 5*p**3 + 2*p**2 + 2*p**3. Suppose 0 = o - 6 + 2. Suppose -13 = -5*c + o*h, 0 = c - 5*c - 5*h - 6. Give d(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(539) + 2 + -6*((sqrt(539) - sqrt(539)*3) + sqrt(539)))**2 - (sqrt(539) + sqrt(539)*-2 + sqrt(539) + 5 - (sqrt(539)*-1 + 3 + sqrt(539)))**2.\nAnswer: 392*sqrt(11) + 26423","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 + l**2 - 2*l - 11. Calculate the lowest common multiple of v(-2) and 271.\nAnswer: 1355","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 a factor of 315115?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 22*r**4\/3 - 370*r**3\/3 - 904*r**2\/3 - 152*r\/3 = 0.\nAnswer: -2, -2\/11, 0, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = 4*x - 2*y, -x + 3*y + 12 = 2*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jqqk when four letters picked without replacement from jjjjqqqjjjjkqj?\nAnswer: 9\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*j - 2*j. Let k(m) = m**2 + m - 2. Let b be k(j). What is the remainder when 29 + 5 + (b - 1) is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -943824, -1887638, -2831444, -3775242, -4719032, -5662814?\nAnswer: -6606588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 o when three letters picked without replacement from waeeawtoeatao.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*j + 266 - 38 = 0. Suppose j - 16 = -d. Suppose p + 2*b = 4 - 8, -4*b = -p - 4. Sort p, d, -8 in ascending order.\nAnswer: -8, p, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22233941 divided by -28?\nAnswer: 22233941\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cq when two letters picked without replacement from vnvccvqnv?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.065 - -3.765. Let t = v - 7.7. Let w = -2433\/11 + 221. Which is the nearest to 0.1? (a) -5 (b) t (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20 and 80?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = -4*n - 25, j - 111446 = -5*n - 111472 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 195022 is divided by 2037.\nAnswer: 1507","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}